Signed Numbers (Positive and Negative) - Examples, Exercises and Solutions

Understanding Signed Numbers (Positive and Negative)

Complete explanation with examples

We learned in the previous article about the number line AND we also talked about positive and negative numbers. In this article we move on and call them integers.

What are integers?

The term "integer" refers to any number to the left of which there is a plus sign (+) or minus sign (-).

  • The plus sign (+ + ) indicates that the number is positive (greater than zero). The minus sign (-) means that the number is negative (less than zero).
  • When a number appears without one of these two signs, it means that the number is positive.
  • Exception: The number 0 0 . Zero is the only number that is neither positive nor negative. It is possible to write "+0 +0 " or "0 -0 ", but in this case the signs will have no meaning.
Negative and Positive integers

Detailed explanation

Practice Signed Numbers (Positive and Negative)

Test your knowledge with 19 quizzes

Fill in the missing number:

\( (-3)\cdot?=-9 \)

Examples with solutions for Signed Numbers (Positive and Negative)

Step-by-step solutions included
Exercise #1

What will be the sign of the result of the next exercise?

(16)(5)= (-16)\cdot(-5)=

Step-by-Step Solution

To determine the sign of the expression (16)(5)(-16)\cdot(-5), we follow these logical steps:

  • Step 1: Identify the signs of the numbers involved. Both numbers (16)(-16) and (5)(-5) are negative.
  • Step 2: Apply the rule for multiplication of signed numbers: The product of two numbers with the same sign (both negative) is always positive.

Therefore, the sign of the result for the expression (16)(5)(-16)\cdot(-5) is Positive.

Answer:

Positive

Video Solution
Exercise #2

What will be the sign of the result of the next exercise?

(2)(4)= (-2)\cdot(-4)=

Step-by-Step Solution

It's important to remember: when we multiply a negative by a negative, the result is positive!

You can use this guide:

Answer:

Positive

Video Solution
Exercise #3

What will be the sign of the result of the next exercise?

(3)(4)= (-3)\cdot(-4)=

Step-by-Step Solution

Let's remember the rule:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the sign of the exercise result will be positive:

3×4=+12 -3\times-4=+12

Answer:

Positive

Video Solution
Exercise #4

What will be the sign of the result of the next exercise?

(2)(12)= (-2)\cdot(-\frac{1}{2})=

Step-by-Step Solution

Let's recall the law:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the sign of the exercise result will be positive:

2×12=+1 -2\times-\frac{1}{2}=+1

Answer:

Positive

Video Solution
Exercise #5

Determine the resulting sign of the following exercise:

1412= \frac{1}{4}\cdot\frac{1}{2}=

Step-by-Step Solution

When there is no minus or plus sign before the numbers, we usually assume that these are positive numbers as shown below:

(+1/4)*(+1/2)=

The dot in the middle represents multiplication:

So the question in other words is - what happens when we multiply two positive numbers together?

We know that two positive integers when multiplied result in a positive integer:

Therefore the answer is "positive".

Answer:

Positive

Video Solution

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Signed Numbers (Positive and Negative)

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