Learn Mathematics

Today we will learn all the methods for solving a first-degree equation with one variable! Believe us, there's nothing to worry about because the methods for solving equations of this type are very straightforward!

In this article we will learn everything you need to know about parallelograms!

In this article, we will learn how to convert a decimal fraction to a simple fraction and a mixed number easily and effortlessly! All you need to do is follow the steps, understand, and practice! Ready?

In this article, we will learn everything we need to know about the parts of a prism. We will understand exactly what it consists of and get to know its special properties in depth. Shall we begin?

In this article, we will deeply explore all types of angles and even practice with a combined exercise. Ready?

In this article, we will learn everything about symmetry in a kite! We will learn what symmetry is, its characteristics in a kite, and how it helps us solve exercises related to kites. Shall we begin?

In this article we will learn about the properties of rectangle diagonals and even solve some exercises where the solution method directly depends on understanding the properties of the diagonals. Shall we begin?

So you all know the basic order of operations - Parentheses Roots and Exponents Multiplication and Division Addition and Subtraction But hey, there are some special cases that fit between these stages that you should really know about!

In this article, we will focus on the second operation in the order of operations - handling exponents and roots. Let's remember that the first operation in the order of operations is handling parentheses. After dealing with parentheses, we'll handle the exponents and roots that appear in the expression! Shall we begin?

In this article, we will solve exercises that combine all the rules of roots together! Or at least most of them. Don't worry, we will solve them step by step, understand the rules of roots in depth, and become experts in solving roots. Shall we begin?

In this article, we will learn how to identify the remainder in any type of fraction easily and quickly!

The remainder of a decimal fraction is a light and nice topic that you can learn and understand quickly! In this article, we will understand what a remainder is and how we can easily identify it.

Among the basic arithmetic operations, division is considered the most "scary" one. Why? Because students claim that division is the hardest to memorize. In this article, we will provide several tips that will help you remember whether a certain number divides "nicely" and gives us a whole number, or not

In this article, we will learn about the properties of triangles: sides, height, median, angles, angle bisector, center of the triangle, and in short, everything you need to know about the parts of a triangle. Shall we begin?

In this article, we will teach you how to quickly and easily simplify roots. Instead of being intimidated by a root that seems complicated to solve, we will simplify the exercise in order to make it more manageable. Shall we begin?

In this article, we will learn about all of the advanced components found in a circuit. Ready?

In this article you will learn everything you need to know about a circle! We will learn about radius, diameter, circumference, area, perpendicular, chord and even pi! Are you ready?

In this article, we will encounter exercises that combine all the shortened multiplication formulas together! Don't worry, we'll solve them step by step easily and quickly!

In this article, you will briefly learn about consecutive numbers, number line, and sequences / skips!

In this article, you will learn how to change the logarithm base in a simple and easy way that will help you to solve a wide variety of logarithm exercises! It's important that you practice and know how to change the logarithm base for use in many exercises. Shall we begin?

In this article, you will learn how to quickly and easily change the base of a logarithm ! Shall we begin?

In this article, you will learn how to solve exercises where the logarithm is in an exponent! You might have found this topic a bit complicated in class... but don't worry. We'll solve it here step by step so you can understand how to do it yourself!

In this article, we will learn how to quickly and easily solve the multiplication of logarithms with the same base ! Shall we begin?

In this article, we will learn about logarithm subtraction, enabling you to solve any problem with ease! Shall we begin?

In this article we will learn about adding logarithms, enabling you to solve any problem with ease. Shall we begin?

In this article, we will learn about rounding numbers and how to round a number to the nearest tens and hundreds in the easiest and simplest way possible. Ready?

In this article we will learn what are the basic operations in arithmetic! Addition, subtraction, multiplication and even division! Are you ready for this?

In this article we will learn about the decimal structure and understand the meaning of each digit in the decimal structure. Shall we begin?

In this article, we will learn what an even number and an odd number are. We will learn how to easily identify whether a number is odd or even. Shall we begin?

In this article, we will learn what an even number and an odd number are. We will learn how to easily identify whether a number is even or odd. Shall we begin?

In this article we will learn how to handle parentheses in the context of the order of operations!

In this article, we will learn multiplication and division in the context of order of operations! Let's learn how to solve an exercise according to the correct order of operations!

In this article we will learn about addition and subtraction in the context of the order of operations!

In this article, you will learn about the order of operations. More specifically how to solve a problem with multiple operations in the correct order.

In this article you will learn everything you need to know about the number line. You will be able to identify intervals, mark numbers and complete missing numbers on the line. Shall we begin?

In this article we will learn what a sequence is, understand how to identify if a sequence is increasing or decreasing, as well as discover the sequence pattern.

Shall we begin?

In this article, we will learn everything you need to know about consecutive numbers!

In this article you will learn to subtract numbers with ease.

In this article you will learn to add numbers quickly and effortlessly!

In this article we will learn simple addition and subtraction using easy and quick methods.

In this article, you will learn everything about vertical subtraction enabling you to solve any given subtraction problem with ease!

In this article, you will learn everything you need to know about column addition allowing you to solve any given exercise with ease!

In this article, you will learn how to solve vertical arithmetic problems as well as to use techniques for vertical multiplication, long division, and vertical addition and subtraction.

In this article, we will learn about the remainder in a mixed number as well as how to identify it effortlessly!

In this article we will look at remainders of fractions. When they occur and how to identify them.

When calculating various parameters in a triangle such as area or perimeter, we occasionally need to perform preliminary operations such as creating a height or median, but what do these terms actually mean? In this article, we will review the terms we use to calculate a triangle.

There are shapes composed of straight lines called polygons. In your middle school and high school mathematics studies, you will likely be asked to calculate the perimeter of such a shape. So how do we calculate the perimeter of polygons?

How do we convert a simple fraction to a decimal fraction? First, we can reassure you by saying that the answer is: quite easily. All you need is to understand the technique, and mainly to understand what a decimal fraction means.

Throughout geometry studies, which deal with different structures and shapes, you are required to calculate areas and perimeters. Each shape or structure has a different formula through which you can answer the question and calculate the area. Fortunately, there is one formula that can be applied to all triangles. It can be used to calculate the area of a triangle using trigonometry.

After you are familiar with the various shapes in geometry you will be introduced to Complex shapes. The reason these shapes are complex is due to their slight differences. In each complex shape, additional shapes that you need to identify are hidden. Dividing the complex shape into several different (and familiar) shapes will allow you to answer the question of how to calculate the area of complex shapes.

The multiplication table is undoubtedly one of the foundations of arithmetic studies. Whilst the ultimate goal is to memorize it by heart, this requires a great deal of time and effort. On this page, we will provide practice exercises for the multiplication table up to 100, and at the end of the page, we will include the answer for you to check.

After learning the basic multiplication table (up to 100), it's time to move on to a multiplication table with larger numbers up to 1000. While this might sound scary, if you already remember the multiplication table up to 100, it shouldn't prove to be a problem. In this article, we'll explain exactly how to do it!

The multiplication table is one of the most important milestones in children's arithmetic studies along with the order of operations. We learn the multiplication table in the early stages of elementary school. This knowledge stays with us throughout our lives and we use it almost daily. On this page, we have included a printable multiplication table in two formats. The first - the complete multiplication table up to 100 for memorization, and the second is an empty multiplication table for practice. We have also included some multiplication exercises for practice at the end of the article.

In this article you will learn everything you need to know about parallel lines, perpendicular lines, and angles in parallel lines. Shall we begin?

In this article, you will learn about geometric shapes including triangles, rectangles, trapezoids, parallelograms, kites, and rhombuses!

Thales' theorem is a central theorem in geometry that deals with ratio, similarity, and proportion. We can use it in an exam without having to prove it, and it will help us discover different lengths of sides. Thales' theorem has 2 extensions which we will also discuss here.

In this article, we will discuss the point located at the center of the triangle and understand its significance. The central point in a triangle often proves to be useful when solving exercises as well as determining the lengths of the medians in the triangle.

In this article we will learn how to quickly and simply solve a quadratic equation with one variable - by calculating the square root!

A median in a triangle is a central concept when discussing triangles.

Converting between fractions and percentages and vice versa is a very important skill that can serve us not only in solving exercises but also in everyday life.

In this article, we will tackle percentages, what percentage value means, what quantity is, and the relationship between them. Additionally, we will learn the trick for answering all types of questions regarding quantity, percentage, and percentage value.

In this article we will learn about alternate interior angles, how to identify them as well as their characteristics.

In this article we will learn what alternate exterior angles are, how to identify them and understand what characterizes them.

In this article, we will teach you the essentials of angles in polygons! We will focus on the sum of interior angles in a polygon, the sum of exterior angles in a polygon, the measure of angles in a regular polygon as well as angles in a regular hexagon and octagon. Shall we begin?

In this article, you will learn how to promptly calculate the area of an isosceles trapezoid with ease. Before we begin, let's review the properties of an isosceles trapezoid together.

In this article, we will learn how to quickly and simply calculate the area of a right-angled trapezoid. We will practice various exercises enabling us to solve any given problem!

Absolute value is a slightly different concept from what we are familiar with in mathematics, but actually it is very simple and very logical.

There are several ways to solve a system of linear equations. Among them, the most common one, and the one you need to know best for tests, is the algebraic method. In this article, we will go over how to solve equations algebraically using the substitution method.

Calculating the percentage value is one of those questions you will need to answer. What is the purpose of the question? To understand what percentage represents a certain part. It is clear that such a question will appear as part of various problems you will face, regardless of your study group or the learning units you are assigned to. So how do we calculate a percentage value?

Percentages constitute one of the principal topics in mathematics, and they appear in almost every area of this field.

A right triangle is one of the most interesting topics in geometry.

In this article you will learn about prime and composite numbers, divisibility rules for 3, 6, and 9, divisibility rules for 2, 4, and 10, as well as prime factorization.

In 7th grade, we will start to delve deeper into different shapes and the various ways to calculate the area of each one. In this article, we will focus on four polygons that are important to know!

The transposition of terms is an important subtopic to take into account when trying to solve any mathematical equation or inequality.

Pi is a mathematical concept and is not used only for circles. It is important to recognize it because it is used in many geometric calculations.

In this section we will focus on adjacent angles, but we will also briefly review their "siblings," corresponding angles, alternate angles, opposite angles and collateral angles.

Generally speaking, angles are an integral part of many geometry problems. These angles are usually formed by lines, some parallel and some intersecting. Our ability to differentiate the different types of angles can help us solve geometry problems at all stages of learning. In this section we will focus primarily on opposite angles.

In many geometry problems we are asked to work with different types of angles. These angles are formed when two or more lines intersect, or when one or more line intersects two parallel lines. Knowing the properties of these angles will help us to solve most geometry problems. In this article we will focus on the so-called collateral angles.

Often, when we are faced with geometry problems, we come across different types of angles that are formed by parallel or crossed lines, which help us to solve exercises in an elegant and efficient way. As we know, there are different types of angles as well and now we will focus on the corresponding angles.

When we solve geometry problems we come across different types of angles, that are formed by parallel or intersected lines, that can help us to find the solution we were looking for. As we have mentioned, there are several types of angles. Today we will focus on alternate angles.

We come across circles and circles every day, from the round mirror on the bathroom wall above the sink to the base of the cup we drink coffee from, the plates we eat from or the wheels of the car we drive from one place to another. No matter where you look, you will always find circles and circles. This is a very important topic in the field of geometry and in this article we present in detail the most striking features of this geometric shape and how, thanks to them, we can make various calculations.

Integer powering is an important topic in the field of algebra. In this article we will clarify how to perform powers on an integer.

The power basis is an important subtopic within potentiation.

Calculate the volume of a rectangular prism:

One of the challenges presented by mathematical problems where it is necessary to apply a formula, is to find the data in the statement or problem so that they can be substituted to find the solution.

The formula for calculating the volume of a rectangular prism is as follows:

Volume of a rectangular prism = length × width × height

Rectangular Prisms or with its other name Orthohedra , are composed of 6 different rectangles. When you are faced with an exercise or an exam in which you are asked to calculate the surface area of a rectangular prism, use the formula below.

Sometimes we come across problems that, at first glance, seem overly complicated and difficult. When this happens, our first step should be to take a deep breath and simplify. One of these useful simplifying tools that make our lives easier is called the commutative property of addition. It allows us to reorder an expression in a way that will be easier to work with. Let's take a look!

Algebraic exercises at any level present us with calculation challenges that can be simplified if we know how to correctly use certain simple algebraic rules. In spite of the mania we have for resorting directly to the calculator, the use of these algebraic rules allows us to carry out calculations that a priori may seem complicated, but that can become relatively easy without using a calculator. In this exercise we will focus on the commutative property, but we will briefly recall other properties, such as the associative and distributive properties.

During your math studies you will encounter all kinds of triangles: isosceles, equilateral, right-angled or scalene. One problem that will always come up (and may become your favorite) is calculating the perimeter of a triangle. For many students this is like a gift because all you have to do to calculate the perimeter of a triangle is to do a simple addition.

So how do you calculate the perimeter of a triangle and what is the real challenge in solving such a problem?

The isosceles triangle forms a category of triangles in the classification according to the length of its sides.

Recall that triangles can be classified according to the measure of their angles or their sides. When the classification is made through the measures of the sides, we can classify them as: equilateral, isosceles and scalene.

An equilateral triangle is one whose three sides have the same length.

The triangle is one of the essential geometric figures, and many of the test questions in high school deal with this shape. In this article we will learn what a triangle is, what its properties are and what types of triangles exist.

The unknowns of a system of equations are usually expressed with the letters x, y, z; or with Greek letters such as alpha, beta and gamma. Most of the time we will have to solve the equation by finding the value of the unknown.

In this article we learn about equations as well as simple ways to solve them.

Time units play a very important role in our daily life and therefore it is necessary that we understand them well.

Weight units are very important and we use them often in our daily lives.

Units of length are among the most useful units available.

Units of measurement allow us to quantify length, weight, time, money, space, volume and more. Depending on the category there are different units of measurement, it is important to know the conversion rules to move from one unit to another. For example, the units of measure for length are millimeter, centimeter, meter, kilometer, etc. Money units of measure are dollar, cent, peso, cent and more.

We first encounter the real line (also called the "number line") when we learn about positive and negative numbers, but what is the real line? In this article we explain it to you.

Positive and negative numbers and zero are a fundamental topic in algebra.

Rectangles have two pairs of opposite, parallel and equal sides.

When studying mathematics and geometry in middle schools, we often come across questions that deal with various coordinate systems. This is a topic where many and varied questions can be asked. Despite the rich variety, most of the solutions are based on basic rules, some of which we will get to know in this chapter.

One of the most popular and recurring shapes in geometry problems is the parallelogram. Its name reveals the most salient features of this geometric figure and, in several geometry assignments, students are even asked to calculate its surface area.

The sides or edges of a triangle are a very general topic in geometry that has many uses.

The sides of a triangle, sometimes called the edges, are the straight lines that bound the sides of the plane figure.

The sum of the angles of a triangle is one of the most common topics in geometry. The theorem of the sum of the interior angles of a triangle is used to solve many geometry problems.

First degree equations with one unknown are a fundamental part of algebra. They will appear in different ways in a wide variety of topics. Therefore, it is more than important to understand from the very beginning the rules that apply to solve these types of equations.

Sides, vertices, and angles are basic geometric concepts on which more complex concepts will be based.

In the previous articles we have studied the number axis, integers, as well as positive and negative numbers. In this article we will explain what opposite numbers are, and how to identify them.

In the previous article we studied what the number line is, and of course, positive and negative numbers. In this article, we will study what integers are.

In this article, we will learn everything we need to know about improper fractions! We will learn what an improper fraction is, how to identify an improper fraction, how to convert an improper fraction to a mixed number and vice versa, how to convert a whole number to an improper fraction and vice versa, and how to determine which improper fraction is greater than the other. Shall we begin?

In this article, we will learn everything you need to know about tiling with regular polygons! First of all, it is worth learning what tiling is and what a regular polygon is.

In this article, we will get to know the family of parabolas and learn everything we need to know about them! Shall we begin?

In this article, we will learn what a variable is, what its meaning is, its different forms, and where we will encounter it in various mathematical topics.

In this article, we will learn what a value is, understand its meaning, and see where we encounter it in various mathematical topics. Shall we begin?

In this article, we will learn the three most common ways to solve a quadratic function easily and quickly.

One of the things we might encounter when working with quadratic functions is finding the zeros of the function. How do we do that? All the answers in the article!

In this article, we will learn together the steps required to plot a function, that is, to transfer a function from a formula of numbers and variables to a graph.

The concept of the slope in the function y=mx is extremely important. The slope in the function y=mx actually expresses the angle between the line and the positive direction of the X-axis.

In this article, we will focus on the special cases in exponents – exponents of negative numbers, exponents with an exponent of 0, and exponents with a whole and negative exponent. Shall we begin?

In this article, we will learn what an exponent is and what it consists of, what a root is, and how to solve exercises with exponents and roots. Shall we begin?

An algebraic fraction is a fraction that contains at least one algebraic expression (with a variable). The expression can be in the numerator, the denominator, or both. Come and read everything you need to know about algebraic fractions.

Division exercises with fractions and mixed numbers are easy and not intimidating if you just follow the steps.

The topic of reducing and expanding decimal numbers is extremely easy.

The transition from a decimal to a mixed number is simple and easy if you just know the right way. To do it correctly without making mistakes, we recommend that you make sure you know how to read decimal fractions properly. If you know how to read decimal fractions correctly, the path to success in transitioning from a decimal to a simple fraction is completely paved for you.

To compare fractions, all we need to do is find a common denominator – that is, bring both fractions to a state where the denominators are the same.

In this article, you will learn what a fraction is and how it can be represented in several different ways. Shall we begin?

In this article, we will learn everything necessary about the regular polygon, focusing on topics such as the area of the regular hexagon, tessellation with regular polygons, and measurements of angles in regular polygons.

The height of the prism is another important subtopic when we study right triangular prisms. The height of the prism also plays a role in all relevant calculations for the right triangular prism.

The lateral edges of a prism are another important subtopic when we study right triangular prisms, which will allow us to perform many calculations.

In this article, we will learn everything necessary about three-dimensional figures, focusing mainly on the cuboid, the cylinder, and the prism.

In this article, we will summarize all the basic math rules that will accompany you in every exercise - the commutative property of addition, the commutative property of multiplication, the distributive property, and more!

In this article, we will learn important arithmetic rules that will help you in many exercises.

In this article, you will learn everything you need to know about whole numbers and practice some exercises with whole numbers.

Random dependent events in probability are a topic that might confuse many students, but by reading the content carefully and meticulously and by clearly understanding the material, you will realize that it is not complicated at all.

In this article, we will learn everything you need to know about trapezoids and understand the differences between the various types of trapezoids. Shall we begin?

In this article, you will learn how to represent a function in several different ways – algebraically, graphically, using a table, or even verbally. Additionally, you will also know how to denote a function. Shall we begin?

Generally, a numerical value is input into equations with variables or in mathematical expressions that include variables. This involves replacing the variables in a mathematical expression or equation with specific numerical values. By assigning the numerical value, the general form becomes a particular case.

The increasing interval of a function are an important part of understanding the function. An increasing interval of a function expresses the same values of X (the interval), in which the values of the function (Y) grow parallel to the growth of the values of X to the right. Increasing intervals of one function or another can be clearly seen on its graph.

The decreasing intervals of a function are part of the phases of its analysis. A decreasing interval of a function expresses the same values of X (the interval), in which the values of the function (Y) decrease as the values of X increase to the right. The decreasing intervals of a function can be clearly seen in its graph.

An acute angle is one of the types of angles that we will encounter during engineering studies.

From time to time, in order to solve a certain exercise in a simple and correct way, we will have to factorize numbers that are presented to us in order to simplify the expression. We can find out all about it in the article.

We are likely to run into numbers rasied to negative powers, but there is nothing to worry about.

The zero exponent is an special case in the world of powers. When we see a number that is not 0 raised to zero, the result will be 1.

The congruence of right triangles is an important subtopic on the more general topic of triangle congruence.

Similar triangles is one of the central topics in plane geometry.

The similarity ratio is a central concept when we talk about similarity in triangles and polygons.

In this article we will learn what is the similarity of triangles and polygons. Intuitively, similarities between triangles are porportional increases and decreases of size. In this article we will explain the mathematics behind this intuition. We will know the similarity ratio and learn how to calculate it. After this, we will make an initial understanding of the three similarity theorems. Finally, we will see what similarities there are between polygons.

Fractions refer to the number of parts that equal the whole. Suppose we have a cake divided into equal portions, the fraction comes to represent each of the portions into which we have cut the cake.

When dealing with multiplication tables, we must first understand what lies behind the concept of multiplication.

The lateral faces of the prism are an integral part of the study of right triangular prisms or prisms with a triangular base. We use this data to perform several important calculations related to the prism.

The bases are an important part of the prism that we will explore. The data that we are given about the bases of a prism will be of fundamental utility at the moment of making different calculations on the prism.

The right triangular prism is one of the most important subjects studied in space engineering. It is a three-dimensional shape, which often reminds us of the shape of a Toblerone chocolate bar. This article will focus on the structure of the right triangular prism, its properties, and the ways in which we can calculate its area and volume.

An algebraic representation of a function is a description of the relationship between the dependent variable (Y) and the independent variable (X) by means of an equation.

As we learned in an article on functions, the standard "correspondence rule" is the connection between a dependent variable (Y) and an independent variable (X). A graphical representation of a function is a description of the relationship between the dependent variable (Y) and the independent variable (X) by means of a graph or drawing, which gives a visual aspect to the concept of the function. From the graph it is possible to understand whether it is a linear function (straight line), a quadratic function (parabola) and more.

Function describes a relationship between a dependent variable (Y) and an independent variable (X). The legitimacy of this relationship between the variables is called the "correspondence rule". In this article we will learn about the verbal representation and the tabular representation of a function.

The circumference is another important part of the circle we will explore. This is a concept that appears in most exercises dealing with circles, and therefore it is necessary to understand it well.

The diameter is another important part of the circle we will learn about. The diameter is also involved in quite a few exercises related to the circumference.

The radius is another important part of the circle we will explore, as it helps us to perform many calculations.

The circle is an integral part of geometry. We encounter the the circle in many exercises in the various engineering subjects.

If there is one question you should be happy to get on a quiz in class or on a math final exam, it is how do you calculate the perimeter of a trapezoid? The reason is its very simple calculation, which is based on the sum of all the sides of the trapezoid. As we know, the challenge in this type of questions is not to calculate data with the formula, but to extract the missing data from the question itself.

A plane angle is one of the types of angles that we will encounter during engineering studies.

This is one of the abbreviated formulas and it describes the square sum of two numbers.

This is one of the abbreviated multiplication formulas and it describes the square difference of two numbers.

The volume of the prism is a very important subtopic when studying right triangular prisms. The volume of the prism reminds us above all that it is a three-dimensional geometric body, which means it has three dimensions (instead of two).

An integral can be defined for all values (that is, for all X). However, there are integrals that are not defined for all values (all X), since if we place a certain X or a certain range of values of X, we will receive an expression considered "invalid" in mathematics. The values of X for which the integration is undefined cause the discontinuity of a function. In this article, we will learn about some of them.

The density of decimal numbers is a topic that is immediately related to the comparison of decimal numbers. In reality, there is nothing new in this topic, so, if you know how to compare decimal numbers without difficulty, you will understand it perfectly.

Another creative way that can very efficiently show the rate of change of a function is to draw stair-step lines on the graph. Also, this system allows us to understand the rate of change in a visual way.

Calculating the area of a square is one of the simplest there is. Let's learn it here!

The surface area of triangular prisms is a subtopic of great importance when we study right triangular prisms. Generally, every math student should know how to calculate the surface area of a prism, so you must understand this topic perfectly.

In algebraic expressions that contain variables or parentheses, it is not necessary to write the multiplication sign. In this article, we will explain everything you need to know about this.

One of the most accepted and well-known ways to represent the rate of change of a function is through a graph. Graphical representation greatly facilitates understanding since, as is well known, "a picture is worth a thousand words."

When we encounter a system of equations where one of them is linear and the other quadratic, we can easily solve it using the substitution method.

How can we prove that the triangle we have is isosceles? All the answers are right here.

The cylinder has two types of areas: surface area and lateral area. You can easily calculate both according to this article!

Solving equations using the distributive property is a method that we generally find in first-degree equations with one unknown. It is enough for a first-degree equation with one unknown to contain parentheses for us to have to resort to this method to solve it.

Constant rate of change is a basic concept within the topic of functions. It is one of the primary characteristics of a function, therefore, it is very important to understand its meaning well.

Another of the most accepted ways to represent the rate of change of a function is through a table of values. This is a very useful method that allows for an exact calculation of the rate of change.

In the topic of functions, the variable rate of change is a supplementary concept and, indeed, a "twin concept" to the constant rate of change. In this case as well, it is one of the primary characteristics of a function, therefore, it is very important to understand its meaning well.

We have long been familiar with the beloved and familiar quadrilateral, but today we will reveal how to determine that the quadrilateral in front of us is actually a parallelogram!

As we have already learned, a coordinate system has two axes, and therefore, any value defined using this system of axes must include two values. These two values are called "ordered pairs". In this article, we will learn what an ordered pair is: how it is displayed and how it relates to the topic of functions.

In this article, we will show you 2 formulas that have expressions raised to 3. Enter the article and you will see that it is simpler than it seems.

The method to solve a multiplication and division exercise of real numbers is very similar to the one we use when we have to add or subtract real numbers, with the difference that, in this case, we must make use of the multiplication and division table that we learned in elementary school.

The similarity between geometric figures is an interesting topic in the field of plane geometry.

In this article, we will address the topic of the mid-segment in a trapezoid. We will learn how it crosses through the middle of the two sides from which it extends. If you are interested in learning about the mid-segment in a trapezoid, look at this article, let's begin:

Factor extraction is the first operation we try to carry out when we want to break down an expression into factors.

The quadratic inequality shows us in which interval the function is positive and in which it is negative - according to the inequality symbol. To solve quadratic inequalities correctly, we need to know two fundamental things.

An arc in a circle is the part located between 2 points on the top part of the circle.

If we know its properties, the midsegment can be very useful for us when solving exercises with triangles.

What is a shape with rotational symmetry? And what does that have to do with the parallelogram? After reading the article, you will be experts on the topic!

The circle has a variety of parts and concepts that are important to know, including the chords.

Have you thought about the distance between the center of the circle and the chord? That's exactly why we're here!

The perpendicular to the chord comes out from the center of the circle, intersecting the chord, the central angle in front of the chord, and the arc in front of the chord. In this article, we will detail and explain more about the topic.

Sometimes, in certain subjects like biology or physics, some numbers that are very large or very small are mentioned. Instead of writing them down with a lot of digits, powers are used and a unique way of writing is employed.

Independent random events are those that occur independently of each other. Exercises that include this type of random events might seem, at first glance, somewhat unsettling, but whoever knows how to solve them skillfully will be pleased to discover that they are very simple and even enjoyable.

Do you want to know how to prove that the parallelogram in front of you is actually a rectangle?

When we encounter a system of quadratic equations, we generally want to find out where their points of intersection are. We can do this in two main ways...

In this article, you'll learn to understand the calendar and calculate time correctly! You can calculate time in days, weeks, months, and even years! Isn't that amazing?

In this article, we will learn all about decimal measurements and introduce you to practical methods that will help you convert one measurement to another and even compare them with ease.

In this article, we will introduce you to the repeating decimal and even teach you how to get to it without the need to use a calculator. Are we ready?

Parallel lines are important and significant elements in the study of mathematics. In some cases, the information that two lines are parallel will not be given, so we must prove it on our own. How is it done? Everything is written in this guide.

We use volume units in matters that deal with the geometry of space.

We will say that a function is constant when, as the value of the independent variable X increases, the dependent variable Y remains the same.

We regularly encounter discrete graphs in everyday life, whether in newspapers, books, articles, therefore it is very important to understand what information lies behind these graphs. In this article, we will learn what a discrete graph is. We will explain it by showing an example of such a graph.

The topic of part of a quantity in fractions is pleasant and easy if you understand the principle and logic. Therefore, focus and you will see how you learn to solve questions of part of a quantity without any problem.

The variation of a function means the rate at which a certain function changes. The rate of change of a function is also called the slope. According to the mathematical definition, the slope represents the change in the function (Y) by increasing the value of X by 1. There are functions, like the linear function (function with the variable to the first power), in which the slope, or in other words, the rate of change of the function is constant. Other functions may have an increasing or decreasing rate of change, which is calculated separately for each X value.

In this article, we will learn about hundredths and thousandths and learn everything we need to know about them.

In this article, you will learn the easiest ways to add fractions, which will allow you to add all kinds of fractions without any inconvenience.

What exactly is a fraction? Why is it useful and what do we do with it? All the answers to the questions - in this article!

Exponential equations are equations in which the unknown appears as a power. When we encounter an exponential equation, we will try to solve it using one of its two methods.

In this article, we will learn how to subtract fractions in a simple and quick way.

To easily solve exercises involving the multiplication of decimal numbers, you must know how to solve multiplications of whole numbers using the vertical form.

Conditional probability refers to the case where we have some data that could modify the probability that a certain event had occurred.

We use currency units daily when we perform conversion operations, both in our country and abroad.

In this article, you will learn to measure time! You will be able to know, without asking anyone, when a minute has passed or when two have passed, plus, you will be able to easily solve word problems that include times. Shall we start?

Equivalent equations are an integral part of equations and can be very useful when solving them.

In this article, we will learn what to do when there is a number and a fraction together. All this and much more in this article!

A common denominator is a topic that will accompany you for a long time from now until the end of your math studies, so you should know how to find it easily.

We will say that a function is decreasing when, as the value of the independent variable X increases, the value of the function Y decreases.

Simplifying and expanding fractions is an easy and enjoyable topic that will accompany you in almost all exercises with fractions. Simplifying and expanding a fraction is actually a multiplication or division operation that is performed on the fraction so that the real value of the fraction does not change and simply looks different.

In this article, we will learn how to add and subtract decimal numbers in a simple, easy, and quick way. In fact, adding and subtracting decimal numbers is very similar to operations with whole and common numbers that we already know and that we can even solve directly in our heads, without the need to write them down.

In this article, we will learn 2 ways to factor trinomials.

In this article, we will learn how to add and subtract mixed numbers easily, quickly, and effortlessly.

A central angle in a circle is an angle whose vertex is at the center of the circle and its sides are the radii of the circle.

Inequality is a sign that might seem confusing at first glance, replacing the familiar and beloved equal sign, but in reality, it's a simple and clear matter, about which there's no need to stress!

We will say that a function is increasing when, as the value of the independent variable X increases, the value of the function Y increases.

In this article, we will learn how to multiply a whole number with a fraction and a mixed number without any problem!

Multiplying and dividing decimal numbers by 10, 100, 1000, and even 10,000 is such a simple matter that, if you practice it a bit, you'll know how to solve these types of exercises even in your sleep! Shall we start?

We are here to define for you what an inscribed angle in a circle is. Also, to give you tips to remember its definition and characteristics in the most logical way.

The third property within the laws of exponents is used when finding a power of a multiplication. Normally, we will find a multiplication inside parentheses and an exponent outside the parentheses.

The area of a right triangle is an important subtopic that is repeated over and over again in exercises that include any right triangle.

The circular area is a very important subtopic when we talk about a circumference. Some exercises that deal with circumferences include, among other things, calculations of the area of a circle. Therefore, it is important to know this concept in depth.

In this article, we will learn what a continuous graph is. We will explain it through a graph of this type and answer all questions.

The center of the circumference belongs to subtopics that make up the topic of the circumference and the circle. We use the concept of the center of the circumference to define the circumference itself, as well as to calculate the radius and diameter of each given circumference.

Multiplication of powers with the same base is the first property of exponentiation or property of exponents that we must know. When we are presented with exercises or expressions where multiplication of powers with the same base appears, we can add the exponents.

You've arrived at the article where you'll learn everything you need to know about a tangent to a circle in the easiest and most logical way!

Power of a power is the fifth property of powers or laws of exponents. When we have an expression raised to a power which, in turn, is raised (in parentheses) to another power, we can multiply the exponents and raise the base number to the result of this multiplication.

The absolute value might seem a bit intimidating to some of you, as this pair of words is not a common expression in our everyday language and does not remind us of anything we know. Even inequalities might seem at first not so understandable because until now we have only dealt with equations. The absolute value and inequality usually go hand in hand and we are here to explain to you about each one individually and about their combination.

The sum of the angles of a polygon is an important topic that appears many times in geometry exercises.

One of the most important skills in mathematics is knowing how to read and interpret a graph, particularly when studying the topic of functions. Often, functions are represented by a diagram or some graph, hence the importance of interpreting the data in front of you in order to analyze it and draw conclusions. Indeed, reading information from a graph or table is not "rocket science". This is an acquired skill, which requires understanding a set of basic rules and practices. In this article, you will find a series of tools that will allow you to "dive into" the subject on the right foot.

The calculation of the perimeter is a subtopic that must be addressed when talking about parallelograms.

One of the most important characteristics of functions is the rate of change. It is crucial that we know it to be able to analyze and understand a function correctly. In this article, we will delve into this topic and see the differences in the rates of change among different functions.

Division of exponents with the same base is the second property we will learn. When we encounter exercises or expressions with terms that have the same base and between them the division sign or fraction bar, we can subtract the exponents.

It is quite simple to describe the intervals where the function is increasing and where it is decreasing. One must observe the graph and see, on the X-axis, where the extreme points of the function begin and end.

The topic of bisectors is one of the most useful topics in geometry.

A right angle is one of the types of angles that we will encounter during engineering studies.

It is important that we know and learn all the properties of exponents or laws of exponents so that we can tackle complex exercises of an advanced level.

Tutorela is here to introduce you to the four ways that are used to denote angles, so, whenever you are presented with an angle, in whatever way, you will be able to identify which angle they are referring to, as well as name them with the correct notation.

It's time to delve deeper into a topic we studied some time ago and develop it in other aspects: probability.

What do the sets of positivity and negativity mean with respect to the quadratic equation and how are they found? All the answers are in this article!

Like every equation, the parabola also has intervals of increase and decrease. How are they found? Read it here!

In this article, you will learn about all the angles that exist in parallel lines and you will know how to identify them at all times, even while you're sleeping!

In this article, we will briefly learn everything necessary about triangles and also practice with some exercises! Let's get started!

In this article, you will see how easy it is to multiply and divide mixed numbers. You will understand the method, practice, and become a specialist in the topic!

In this article, you will learn everything you need to know about the denominator and its function in fractions.

In this article, you will learn everything you need to know about the numerator and its function in fractions.

In this article, you will learn everything you need to know about real numbers and practice exercises on the topic.

In this article, you will learn everything you need to know about irrational numbers and how to identify them in various numerical sets.

In this article, you will learn everything you need to know about rational numbers and you will practice it in various exercises.

In this article, you will learn everything you need to know about natural numbers and you will put it into practice in various exercises.

In this article, you will learn everything you need to know about the exponentiation of negative numbers and understand the difference between a power that is inside parentheses and another that appears outside of them.

In subjects like biology or physics, sometimes, extremely large or small numbers are used. Instead of writing them down with a lot of digits, powers are used with a unique way of writing.

In this article, you will learn for the first time what equations are, you will know the different types, and maybe you can even solve some! Shall we start?

In this article, you will learn all the properties of roots with variables and how to find the conditions of those letters (or variables) that are in the radicand. Does it sound complicated? Don't worry! A simple lesson, some exercises, and you'll shine.

In this article, we will learn what perimeter is and how to calculate it for each shape, all of that in the most entertaining and practical way there is!

In this article, we will teach you, in summary, part of what you need to know about decimal numbers. If you wish to delve deeper into any specific topic, you can always access the corresponding extensive article.

In this article, we will learn about the mode, what it is, and how to find it within a frequency distribution table. We know it might seem complicated, but we assure you that it is a very simple and easy topic.

In this article, we will learn what the median is, how to find it within an even or odd set of numbers, and how it differs from the mean.

In this article, you will learn everything you need to know about the mean or average. We assure you that you will master the topic with great ease and you will even be happy to find it on your exam.

Vertical multiplication is a basic math topic that every student must know and be able to solve. To solve vertical multiplication exercises, in a simple and practical way, you must master the multiplication tables and follow the rules meticulously.

In this article, we will study the vertex of the parabola and discover easy ways to find it without too much effort.

The rectangular prism! What a magnificent figure! In this article, we will get to know the rectangular prism and its parts.

In this article, we will learn how to find the lateral area of a rectangular prism, quickly and easily.

In this article, you will learn to break down any number into prime factors with the help of two magnificent tricks that you will surely love!

Word problems often scare many students, however, the logic of this topic is the same as that of any other exercise, we just need to correctly identify the data.

We know that a square is a type of parallelogram. How can we prove that the given parallelogram is, in fact, a square?

So, what is that mysterious geometric figure that looks like a precious diamond? Maybe it reminds us of that card game? It's a very interesting geometric figure called a rhombus, also known as a kite or diamond (you can choose). Whatever you call it, you should know the properties of this figure and its uniqueness to solve certain geometric problems. So, let's begin...

Today we're going to talk about a very symmetrical shape that knows how to awaken our curiosity, and in certain cases, even reminds us of the roof of a house. And this, ladies and gentlemen, is none other than the isosceles trapezoid. This figure appears in many chapters of mathematics, so, to tackle problems with isosceles trapezoids, we must know well their properties and unique characteristics. So, let's dive into the depths of trapezoids!

More than once we have heard the teacher ask in class: "Who knows how to solve a quadratic equation without the formula?" Or, in other words - Trinomial. But, but... What on earth is a trinomial? What is it about? How does understanding about the trinomial benefit our mathematical knowledge? Does it expand the possibility of having greater mathematical efficiency? Or, in fact, might it be superfluous to include it in the ninth-grade curriculum? In this article, we will answer these questions and learn about the properties of the trinomial that will help us quickly solve quadratic equations, simplify fractions, multiply and divide, deal with fractions, even with the common denominator in fractions with variables in the numerator and in the denominator.

The average (arithmetic mean or simply mean) is a simple and fun topic. In this article, we will learn what the average is, how to calculate it, and other peculiarities that are worth knowing about it.

In this article, you will learn to identify Roman numerals, to write them from 1 to 12, and the particularities of the Roman numeral system. Shall we begin?

In this article, we will teach you the best tricks to identify if a number is divisible by 2, by 4, and by 10.

In this article, we will teach you how to identify, in a matter of seconds! if a number is divisible by 3, by 6, and by 9. Shall we start?

In this article, we will describe what exactly prime numbers and composite numbers are; we will learn to identify them and get to know special numbers.

So far, we have learned to solve quadratic equations in various ways such as factoring, completing the square, and the quadratic formula. For equations that are not quadratic, we have learned to solve them using the method of equalization or substitution. Today we will learn about solving systems of quadratic equations and combined systems of equations (quadratic equations and linear equations) and will thoroughly understand the meaning of the system's solution.

While there are subjects that are gradually integrated into the school curriculum over the years, there are subjects that are learned from the first day. One of those subjects? Mathematics. More precisely, first, there are calculation studies, which connect you, the students, with activities in addition and a bit of subtraction. As the years go by, you face more complex topics, and also shapes of which you must know the unique characteristics. One of those shapes, which you are likely also learning about these days, is an ellipse.

At certain times, we will come across functions that look a bit different because they are missing the independent term B or C. In fact, this difference is positive since it makes solving the function easier! How? Let's find out!

The procedure for completing the square is another method with which quadratic equations can be solved.

This form is called factored because it uses the factors of a multiplication. With this form, we can easily identify the points of intersection of the function with the X-axis.

In this article, we will learn to identify the vertex of the parabola. You really want to understand the topic well, right? Enter to learn.

The quadratic function is one of the topics that will accompany us almost always on our journey through the world of mathematics,

In this article, we will study the combination of two families of parabolas, horizontal and vertical, anyone who wants more information is invited to enter.

What are the properties of the family of parabolas y=(x-p)²? What can be done with it and how is it solved? All the necessary information appears in this article.

Are you not entirely sure what vertical displacement means and need to know how to do it? You've come to the right place!

These are the most basic quadratic functions, therefore, it is crucial to understand them thoroughly in order to move forward and delve deeper into the study of the subject.

The square is a very special figure. We already know that, but how is it defined? And how can we recognize it? The square's identity document awaits us right here!

How will you realize that the parallelogram in front of you is a rhombus? That's exactly why we're here! We'll teach you 3 criteria that will help you discover it.

Is the rhombus a symmetrical figure? What types of symmetry are there? All the answers appear in the following article!

So far, we have demonstrated propositions directly, following this pattern: because this and that happen... this and that happen... and in this way, the proposition is proven. The time has come to learn another method of proof: The proof by contradiction.

There is a relation between the lengths of the sides of a triangle. It is very simple to remember and can be easily understood.

A triangle is a polygon with 3 sides, magnificent and special, whose sides and angles fulfill certain reciprocal relationships that we can easily remember.

What should we know about the sum of the exterior angles of a polygon? The answer is simpler than you thought!

Until today, we have dealt with internal angles, perhaps also adjacent ones, but we have not talked about external angles. Don't worry, the topic of the external angle of a triangle is very easy to understand, and its properties can be very useful for solving exercises more quickly.

When you want to discover the size of an angle of a regular polygon with ease and speed, all you will need to do is use a formula.

What the heck is a regular polygon? And what should we know about it? All the answers await you here!

Sometimes we'll want to calculate the internal angles of polygons, even of unknown and exceptional shapes. How is it done? Here is everything.

Here we will learn how to add or subtract algebraic fractions.

Factorization is a basic operation that we must do to simplify the exercise; in fractions, we must factorize according to the order of mathematical operations. Are you interested? Read the article.

Writing formal proofs in geometry is a very important skill.

The notation of a function actually refers to determining the "name" of the function. It is customary to symbolize a function using letters from the Latin alphabet when the two most common notations are: Y and F(X). What is the X in parentheses and what do these letters symbolize? Let's learn in the article!

Along with classic average calculations, you will often be asked to calculate the weighted mean. The way to calculate it is different and requires you to understand the importance of such a value that is given to you as data.

If you want to know how to calculate the area of a regular hexagon, here in this article you can find the answer. As we already know, what generally makes solving exercises of this type difficult is having partial knowledge of geometry, since the formula is usually quite easy to apply, and does not require complex arithmetic operations. So, how is the area of a regular hexagon calculated?

Perpendicular lines are those that create a right angle between them, that is, 90 degrees.

Whilst the "absolute value" may seem complicated to us, it is simply the distance between a given number and the figure 0 along a number line. Read this article in order to understand it perfectly.

The order of operations with fractions is no different from the order of operations without fractions. This means that if you know how to solve a certain exercise based on the order of mathematical operations, you will also know how to solve an exercise with fractions in the same way.

Estimation exercises are simple and pleasant when you approach them with logic. In this article, we will teach you what estimation is and how you should tackle addition or subtraction exercises.

The comparison of decimal numbers is a very simple matter if we know how to approach it.

After studying real numbers, it's time to learn how to use them in an equation. Initially, our goal with equations is to simplify them to make it more comfortable to solve the exercises; we do this by grouping operations and adding and subtracting real numbers.

Congruent rectangles are those that have the same area and the same perimeter.

The exponent of a power is an important subtopic within exponentiation.

The division of whole numbers within parentheses where there is a division refers to the situation in which we must carry out the mathematical operation of dividing a whole number by the result of dividing two elements, that is, by their quotient.

The distributive property of multiplication allows us to break down the largest term in the exercise into a smaller number.

The scalene triangle is one of the types of triangles found when classifying them according to the difference in the length of their sides.

An obtuse triangle is another type of triangle in the classification of triangles according to angles.

The acute triangle is one of the types of triangles that exist when classifying them according to their angles.

Simplifying like terms in an equation is something that almost always occurs when we are going to solve it. It's enough for a first-degree equation to contain more than two or three terms for us to have to resort to this method to find the final result.

Solving equations by multiplying or dividing both sides by the same number is another useful and common method when it comes to finding the value of any type of equation.

Solving equations by adding or subtracting a number to both sides of the equation is one of the most common and useful methods for doing so. This method is very simple and easy to apply.

In previous articles, we have studied real numbers and the grouping of terms, as well as the function of parentheses in the order of mathematical operations. In this article, we move forward and combine the topics in order to understand when and how we can eliminate parentheses in real numbers.

In previous articles, we have seen the order of operations for addition, subtraction, multiplication, and division, as well as the sequence we should follow when there are exponents. When the exercise we need to solve includes parentheses, we always (always!) start with the operation contained within them.

As part of the hierarchy of basic operations, we learned that parentheses always come first.

Two numbers are multiplicative inverses when their multiplication results in 1.

Abbreviated multiplication formulas will be used throughout our math studies, from elementary school to high school. In many cases, we will need to know how to expand or add these equations to arrive at the solution for various math exercises. As with other math topics, even in the case of abbreviated multiplication formulas, there is nothing to fear. Understanding the formulas and lots of practice on the topic will give you complete control. So let's get started :)

There are many questions that can be asked about circles and radii, and one of the most common questions is how to calculate the radius from the circumference of the circle. So, how is a radius calculated using the circumference?

Your math teacher probably taught you the most important tip for solving problems: understanding what is being asked of you. Some students master the material taught, but because they have difficulty understanding what is being asked of them, they lose many points on exams. One of the common mistakes students make is not paying attention to the difference between the following two terms:

• Average velocity
• Average speed

Since angles are a quantitative concept, meaning we describe them using numbers, we can add and subtract them.

In this article, we will learn what an angle is, explore its different types, corresponding angles, and alternate angles between parallel lines. Angles are a quantitative concept, meaning they are measured with numbers. Therefore, we can compare them.

On one hand, functions are a fairly abstract concept, but on the other hand, they are very useful in many areas of mathematics. The topic of functions dominates many fields, including algebra, trigonometry, differential calculus, integral calculus, and more. Therefore, it's important to understand the concept of functions so that it can be applied in any of the fields of mathematics. This article will be dedicated to this.

The graph is a concept that we encounter not only in math studies but also in everyday life, therefore it's very important to learn how to produce and understand the information that this tool represents. In this article, we'll understand what a graph is and what types of graphs there are.

An obtuse angle is one of the types of angles that we will encounter during our engineering studies.

The domain of a function is all those values of X (independent variable) that, if we substitute them into the function, the function will still be valid and defined. The domain of a function is an integral part of function analysis. Moreover, a definition set is needed to create a graphical representation of the function.

A value table is the "preparatory work" that we are often asked to do before creating a graphical representation. Therefore, it is an inseparable part of the subject of graphs in general and the topic of functions in particular. In this article, we will understand what a value table is and how to complete it.

Long division might seem tricky or complex, but believe me, if you take it slowly, step by step, you'll reach the correct answer quite easily.

In this article, we'll learn how to place fractions on the number line easily, quickly, and without any trouble.

We're here to teach you everything you need to know about the midsegment, from its proof to its wonderful properties that will help us solve exercises.

In this article, we will cover several topics related to the algebraic method: powers, distributive property, factorization, and repeated distributive property. You can find more comprehensive and detailed articles for each of these topics.

There are four criteria to determine if a triangle is congruent. In this article, we'll study the first criterion of congruence: Side, Angle, Side. We'll learn how to use it and look at examples.

In this article, we will learn how to reduce fractions. Reducing fractions is a basic operation that can be used to change the structure of a fraction while maintaining its value. Reducing fractions makes it easier to continue working with this type of arithmetic expression.

Calculating the height of a triangle is a fundamental aspect when studying everything related to this geometric shape.

We typically use units of area for certain geometry problems. In this article, we'll explore different surface measurements like cm², m², and km², and learn how to convert between them.

The rectangle is one of the most common geometric figures you will come across and calculating the area of one is a typical exam question.

The rectangle is one of the basic figures of plane geometry and features frequently in related exercises. In order to properly tackle such exercises, it is important to understand the various properties rectangles.

When you study the order of mathematical operations, you may come across the terms like division bar, fraction line, or even vinculum. What do they mean and why are they so special?

In mathematics a neutral element, also known as an identity element, is an element that does not alter the rest of the numbers when we perform an operation with it.

The numbers 0 and 1 have some special characteristics when performing basic operations like addition, subtraction, multiplication, and division with them—including in combined calculations. In this article we will learn what they are and why they are important.

The rules related to the order of basic operations (addition, subtractions, multiplication, etc.) are quite simple.

After having studied what algebraic expressions and equivalent algebraic expressions are, the next thing to cover is how to simplify them.

Equivalent expressions are two or more expressions that represent the same process or operation. They may have a different structure, but their numerical values will be the same.

An algebraic expression is a combination of constant numbers (or 'integers'), unknown variables represented by letters, and basic operations. When we assign numerical values to each of the unknown variables, we can reduce the expression to a numerical value.

The Pythagorean Theorem is one of the most well-known theorems in the field of geometry and engineering, as well as one of the most feared topics among mathematics students in general.

The order of operations is simple. In every mathematics exercise that includes more than one operation (addition, subtraction, multiplication, division, etc.), each operation must be performed in a particular order.

The division of whole numbers with multiplication in parentheses refers to a situation where we perform the mathematical operation of dividing a whole number by the result of multiplying two terms that are in parentheses.

Subtraction of whole numbers with subtraction in parentheses refers to a situation where we perform the mathematical operation of subtraction on the difference of some terms that are in parentheses.

Subtraction of whole numbers with addition in parentheses refers to a situation where we perform the subtraction operation on a sum of terms that are in parentheses.

The distributive property of division allows us to break down the first term (the number being divided) of a division operation into a smaller, more manageable number.

Are complicated multiplication problems getting you down? They don't have to anymore! Today we're going to learn how to simplify those migraine-inducing, multi-factor multiplication expressions by using the associative property of multiplication.

Have you ever come across a messy addition problem? Wish you could just rearrange the operations to make it easier? Well, you can! The associative property of addition lets you do just that.

To make things easier when solving algebraic problems, we have a few properties that we can use to simplify expressions. Think of them as tools you can use to reshape an expression. The main properties we are focusing on at this level are: the associative, the commutative and the distributive properties. In this article, we get to know the associative property and its uses.

As we move forward, let's take a moment to briefly review our other properties: the distributive and the commutative properties.

Does the commutative property addition seem fairly intuitive - great! Now, let's take things a little further by exploring the commutative property of multiplication. This property is another useful tool that allows us to simplify and solve multiplication exercises efficiently and easily.

Do you feel like you've mastered multiplication? The times tables are easy for you? Well, then it's time to take multiplication further - with exponents! Exponents tell us how many times to multiply a number by itself. They also allow us to write a large number in a simple way. When will I use this? Continue reading to explore exponential numers and their different applications.

What shape are the dice in your board-game? That's right, they're cubes! Did you know that most ice-cubes aren't actually cubes? A cube is a type of cuboid in which all three dimensions (length, width and height) are identical, which means that each face is a perfect square. Open the closest freezer and take a look at the ice tray - are those ice-cubes made up of perfect squares? If not, maybe we should be calling them ice-cuboids instead!

A cuboid is a three-dimensional shape that we encounter every day of our lives. They come in all different sizes, and serve many different purposes. Food containers, matchboxes, closets, shipping containers and more! Probably the most common type of cuboid we will come across is called a rectangular cuboid.

The area of a construction site, the speed of a moving vehicle, the profit made on an item at your local grocery store. What do they have in common? They all use quadraratic equations!

The easiest way to solve a quadratic equation (one of the most important equations in the real world) is by using the quadratic formula. In order for you to get started using this formula, you must first understand what a quadratic equation is.

Let's take a moment to go back to the fundamentals and review what an equation is. Before you know it, you'll be on your way to understanding one of the most useful mathematical formulas: the quadratic formula!

Finding the area of a trapezoid may look complicated at first, but don't worry! In this article we will show you a simple way to calculate the area of a trapezoid using only three values.

Parallel lines play a fundamental role in geometry, engineering and many other important fields. Learning to work with parallel lines will allow you to solve many different types of geometry problems at various levels of difficulty.

An algebraic expression is a combination of variables and constants (letters or numerical values) together with operations (such as addition, subtraction, multiplication, division, etc.).

The study of sequences is a major part of mathematics. Therefore, gaining a firm understanding of its concepts is necessary before moving on to more advanced areas of the field.

The topic of recurrence relations is an important one for mathematics students as it appears frequently in post-primary grades and on graduation exams. It is not complicated, although it does require a basic understanding of the concepts behind the theory. In this article, we will try to explain them in a simple and clear way.

The first step to solving a scary, complex multiplication equation is to simplify it. Often, what seems complicated is actually fairly simple. This is where the distributive property comes to helps us! The distributive property helps us to rewrite our expressions by breaking down large numbers into smaller, more manageable chunks.

Does using the distributive property seem easy by now? Great! It's not so hard, it just takes some practice. Let's go a bit deeper - now we'll explore the extended distributive property. Here we'll see expressions with two sets of parentheses. Don't worry! Using the same principles that we've already learned, we'll find that the extended distributive property isn't any different than the basic distributive property.

The distributive property is a tool that helps us to simplify complex expressions by breaking down large numbers into smaller, simpler terms.

The quadratic function, or the parabola, is a function that we will work with a lot throughout the years of studying mathematics in high school, so it is important to understand what it means and what to expect when solving its questions.

Converting a decimal number to a simple fraction is easier than you might think. To do it without making mistakes, we recommend reviewing the reading of decimal numbers and making sure you know how to do it well. If you truly know how to correctly read decimal numbers, you are guaranteed success when trying to convert a decimal number to a simple fraction.

The decimal number might sound like a somewhat challenging concept to you, but believe me, after reading this article, you will not fear encountering it on the exam, you will even be glad to see it.

What is an area? What does it mean? How is the area of different geometric shapes calculated? All the answers can be found in this article!

You don't have to worry about calculating the area of the equilateral triangle!

Even with the scalene triangle, we should not fret about calculating its area!

Isosceles triangles are no different from other triangles, and neither is finding their area!

The ratio describes the "relationship" between two or more things. The ratio links the given terms and describes how many times greater or smaller a certain magnitude is than another.

Questions about scale deal with the relationship between the actual dimensions of an object and those of the drawing that represents it.

Inverse proportionality indicates a situation in which, when one term is multiplied by a certain number of times, the second term is decreased by the same number of times and vice versa.

Direct proportion indicates a situation in which, when one term is multiplied by a certain amount, the second term undergoes exactly the same thing.

Sometimes we will be given only a whole ratio between two terms and a third piece of data that is part of another ratio. Usually, it will be stated that there is a proportion between the ratios and that we must find the missing data in the ratio.

Many students believe that proportionality is a super complicated topic, but believe me, it's not like that at all, it's entirely based on ratio or relationship and circumstances you have already studied.

In a division according to a certain given ratio, we will have a defined quantity that we must divide according to that ratio.

Equivalent ratios are, in fact, ratios that seem different, are not expressed in the same way but, by simplifying or amplifying them, you arrive at exactly the same relationship.

Not very clear on what symmetry in a parabola is? This article will bring some clarity!

In past articles, we had seen what a function is and linear functions, now it's time to study a quadratic function, so we will start by asking ourselves: **What is a quadratic function?** A quadratic function is a second-degree polynomial with a single variable whose largest exponent is 2, the general form of a quadratic function is as follows:

The diagonals of a rhombus have several special properties, in this article we will study these characteristics and see how they could be used when solving exercises with rhombuses.

There are many geometric shapes that can be found during the solving of engineering problems at all different stages of study, such as in high school, in matriculation exams, and even in psychometry. One of the less trivial shapes is the deltoid, and as part of the questions surrounding it, students are often asked to calculate the area of the deltoid.

Factorization allows us to convert expressions with elements that are added or subtracted into expressions with elements that are multiplied.

The uses of the Pythagorean theorem in an orthohedron or cuboid is an interesting subtopic within spatial geometry.

The topic of numerical sets is very important within the field of algebra.

Inequalities are the "outliers" of equations and many of the rules that apply to equations also apply to inequalities. In terms of writing, the main difference is that instead of the equal sign "=", we use the greater than ">" or less than "<" signs. Inequalities can be simple or more complex and then contain fractions, parentheses, and more.

Representing phenomena using linear functions actually allows us to simplify many verbal questions using a simple linear graph. From the graph, we can very easily calculate the slope, which is actually the rate of change and even many other parameters.

The positivity and negativity of a linear function are an important subtopic when we discuss the search for functions.

Finding a linear equation is a very important subtopic when we talk about the linear function. Finding the equation of a line is actually plotting the linear function using y=mx+b or y=mx. In this article, we will detail how we can find the linear equation using 5 different methods.

The linear function y=mx+b is a fundamental topic in the field of functions. The linear function actually represents a graph of a straight line that intersects with the vertical Y-axis at a certain point.

The graphical representation of a function that represents direct proportionality is a very important subtopic in the subject of functions.

The linear function is a fundamental topic in the field of algebra, and therefore it is very important to understand its properties and rules.

Scale Factors, Ratio and Proportional Reasoning are very important and similar topics that often appear in algebra and geometry exercises.

We know that the word statistics can sound a bit threatening and incomprehensible, perhaps because we don't usually use it in our daily conversations. Statistics really is a kind of language of its own, but after you read this article you will see how, in a matter of minutes, you will know all you need to know about this topic to be able to solve exercises without blinking an eye.

Do you want to know how to identify a parallelogram from miles away? After this article, you'll immediately know when it refers to a parallelogram and when to another square.

What symmetry is there in the trapezoid? The following article refers to this:

Come and learn about the properties of the diagonals of an isosceles trapezoid.

To solve equations through factorization, we must follow certain basic rules.

When we want to multiply or divide algebraic fractions, we will use the same tools that we use for the multiplication or division of common fractions, with some small differences.

In this article, we will learn how to simplify algebraic fractions. We will learn when it can and when it cannot be done.

In this article, we will teach you how to factor according to the formulas for contracted multiplication

Powers have a set of rules and norms that are very important to know in depth in order to solve power exercises quickly and without making mistakes. Don't worry, Tutorela provides you with everything you need to know about powers. So, shall we get started?

A cylinder may seem like a scary way to calculate at first glance, but in fact it only takes a little familiarity with its volume formula to show that this is not the case.

The cylinder shape is widely used in our everyday life, for example in a toilet paper roll or a magician's hat. In fact, the cylinder occupies a place of honor in the field of space engineering. Therefore, it is important to know the salient features of this spatial shape in order to know how to tackle quite a few mathematical problems in the field of space engineering.

In this article, we will present the topic of solving verbal problems with a system of linear equations.

There are several ways to solve equations, in this article we will work with the equalization method.

There are several ways to solve systems of linear equations, now we will concentrate on the substitution method.

The following questions can be solved in several ways. The algebraic solution comprises of two methods:

There are several ways to solve quadratic or quadratic equations, now we will see how to do it with the graphical method.

There are many types of equations, among the most basic are linear equations that can have a diverse number of variables. In this article, we will see how to solve linear equations with 2 unknowns.

The word "system" might already sound complex and stressful, and then they combined it with the term "linear," and as if all this were not enough, they also added two unknowns instead of one. We know that this topic might seem terrifying and daunting to you, but hey! don't panic, that's exactly what we're here for. We promise to teach you everything you need to know to master this topic perfectly and quickly solve any exercise that comes your way. Do you doubt it? Stay with us.

In this article we will go deeper into the conditions required for two triangles to be considered similar and we will define the three criteria of similarity of triangles.

The properties of probability are a central theme in this field, and several of the principles of probability are based on them.

Relative frequency is a central topic within the field of probability.

Frequential probability is a very important topic in the field of probability.

The representation of probability on the number line is a fundamental topic in the area of probability.

We're adding a fourth to the three congruence theorems that we've already learned.

Radication is another rule of roots that must be learned.

One of the three properties of roots is the root of the quotient.

With the square root of a product, we can break down the factors of the products and leave a separate root for each of them.

A square root is the inverse operation of a power

In various disciplines such as biology or physics, there are many cases where very large or very small numbers are indicated. Instead of writing a number with dozens of digits, use specific powers and specific writing methods.

It is quite possible that when you read this title you will not understand exactly what its creator intended. Tutorela is here to reassure them and explain that in a few minutes they will know exactly the intention and the calculation of their possible outcomes and probabilities.

Probability is among the topics that tend to confuse students the most, but it can actually be understood in a simple way.

In statistics, there are a number of key metrics on which it is based.

Relative frequency in statistics is an important concept in the field of statistics.

Frequency in statistics is a key concept in the field of statistics.

Data collection and organization is a very important topic in the field of statistics, and the ability to collect data for various studies is based on it.

In this article we will learn how to factor by taking out the common factor.

In this article, we will learn how to solve fractional equations.

In this article, we will learn about cases of special equations. Equations with infinite solutions, equations with no solution.

What is a trapezoid, what are its properties, and the secret trapezoids you can discover? All these questions will be answered in this article!

In this article we will learn about equations with variables in the denominator and we will learn how to solve them. We will learn it through many examples and we will advance each time with a higher level of difficulty.

The topic of estimation is very important within the branch of algebra; it can even help us to make approximate calculations of all sorts in our daily lives.

There are 4 criteria to determine that two triangles are congruent. In this article, we will learn about the third criterion of congruence: Side, Side, Side.

There are four criteria to determine when two triangles are congruent. In this article, we will study the second criterion of congruence: Angle, Side, Angle. We will look at some examples to understand how to use this criterion.

Whether you are preparing for a test or are about to take university entrance exams, it is essential to know how to calculate the area of a triangle—regardless of its type (right angled, isosceles, etc.). So, how do you calculate a triangular area? This guide will clear up all of your doubts concerning one of the most frequently asked questions in geometry exams.

Logarithmic laws are an excellent example of yet another pair of scary words encountered during math studies, but if you delve a little deeper into the topic and understand what's behind these words, the fear can completely dissipate.

Did you notice the quadrilateral that is formed at the intersection of 2 train tracks? What is it called? What are its characteristics? Let's take a look at the train tracks, why are there 2 parallel tracks? For the train to not derail, there must be 2 tracks that always maintain the same distance from each other. This is the definition of parallel lines that never meet because the distance between them is always the same. At the moment when 2 train tracks intersect, a quadrilateral is formed between them, which has 2 pairs of opposite sides parallel, which is the parallelogram. In this article, we will talk about what a parallelogram is and learn how to prove it.

An integral part of the curriculum also includes geometric shapes, which feature, among other things, the rhombus. It's important to note that even if you are a high school student, you will still be asked to solve problems that include these same shapes, rhombuses included. So, how do you calculate the area of a rhombus?

Often, when we sit on the beach facing the sea, we observe a good number of kites. Have you examined their shape? It's a deltoid shape. The deltoid has a somewhat complicated shape. It is a quadrilateral but not a square, and it has a shape similar to a rhombus and a parallelogram, but their definitions are different. In this article, we will learn what a deltoid is and how to identify it.

Percentages are undoubtedly one of the most studied topics in mathematics. Moreover percentages constitute one of the most common exercises that every math student must be capable of solving.

More than once, we've heard the principal telling the teacher, "Have you noticed that there is no overlap between the students and the study material? Well, your goal is to create that overlap." So, what is an overlap in everyday language? Overlap is a coincidence between two or more elements. Also, when we talk about triangles, we can find different types of coincidences. There are triangles that are equal only in their angles and are called similar triangles, and there are triangles that are equal in both their angles and sides, being identical to each other. We will call these latter triangles congruent triangles, and we will learn about them in this article.

What are those mysterious square roots that often confuse students and complicate their lives? The truth is that to understand them, we need to grasp the concept of the inverse operation. What do we mean by this? When we solve an exercise like "How much is 5 squared?" it's clear that 5 multiplied by 5 gives us a result of 25. This is the concept of powers or, to be more precise, squaring a number. To apply it, we multiply the figure or number by itself. But what happens when we encounter an exercise where X squared equals 25? In this case, we must perform an inverse operation, and this is when square roots come into play.

In this article, we'll start by recalling the definition of an "exponent," and then we'll focus in an organized manner on the different rules of exponents: