The distributive property of multiplication allows us to break down the highest term of the exercise into a smaller number. This simplifies the multiplication operation and we can solve the exercise without the need to use a calculator.
The distributive property of multiplication allows us to break down the highest term of the exercise into a smaller number. This simplifies the multiplication operation and we can solve the exercise without the need to use a calculator.
Let's assume we have an exercise with a multiplication that is simple, but with large numbers, for example:
Thanks to the distributive property, we can break it down into simpler exercises:
+
+
=
\( 94+72= \)
\( 63-36= \)
\( 133+30= \)
\( 140-70= \)
Solve the exercise:
84:4=
To facilitate the resolution process, we break down 94 and 72 into smaller numbers. Preferably round numbers
We obtain:
Using the associative property, we arrange the exercise in a more comfortable way:
We solve the exercise in the following way, first the round numbers and then the small numbers.
Now we obtain the exercise:
166
To solve the problem, first we will use the distributive property on the two numbers:
(60+3)-(30+6)
Now, we will use the substitution property to arrange the exercise in the way that is most convenient for us to solve:
60-30+3-6
It is important to pay attention that when we open the second parentheses, the minus sign moved to the two numbers inside.
30-3 =
27
27
To solve the question, we first use the distributive property for 133:
Now we use the distributive property for 33:
We arrange the exercise in a more comfortable way:
We solve the middle exercise:
Now we obtain the exercise:
163
To facilitate the resolution process, we use the distributive property for 140:
Now we arrange the exercise using the substitution property in a more convenient way:
We solve the exercise from left to right:
70
Solve the exercise:
84:4=
There are several ways to solve the exercise,
We will present two of them.
In both ways, in the first step we divide the number 84 into 80 and 4.
And thus we are left with only the 80.
From the first method, we will decompose 80 into
We know that:
And therefore, we reduce the exercise
In fact, we will be left with
which is equal to 20
In the second method, we decompose 80 into
We know that:
And therefore:
which is also equal to 20
Now, let's remember the 1 from the first step and add them:
And thus we manage to decompose that:
21
Which equation is the same as the following?
\( 13\times29 \)
Which equation is the same as the following?
\( 36\times4 \)
Which equation is the same as the following?
\( 3\times83 \)
Which equation is the same as the following?
\( 14\times42 \)
Which equation is the same as the following?
\( 160\times6 \)
Which equation is the same as the following?
We solve each of the options and keep in mind the order of arithmetic operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option A.
Which equation is the same as the following?
We solve each of the options and keep in mind the order of operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option B.
Which equation is the same as the following?
We solve each of the options and keep in mind the order of arithmetic operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option B.
Which equation is the same as the following?
We solve each of the options and keep in mind the order of operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option C.
Which equation is the same as the following?
We solve each of the options and keep in mind the order of operations: calculation of the operation inside parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option D.
Which equation is the same as the following?
\( 34\times11 \)
Which equation is the same as the following?
\( 39\times19 \)
\( 4\times53= \)
\( 11\times34= \)
\( 6\times29= \)
Which equation is the same as the following?
We solve each of the options and keep in mind the order of operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option D.
Which equation is the same as the following?
We solve each of the options and keep in mind the order of operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right).
a.
b.
c.
d.
Therefore, the answer is option C.
To make solving easier, we break down 53 into more comfortable numbers, preferably round ones.
We obtain:
We multiply 2 by each of the terms inside the parentheses:
We solve the exercises inside the parentheses and obtain:
212
To make solving easier, we break down 11 into more comfortable numbers, preferably round ones.
We obtain:
We multiply 34 by each of the terms in parentheses:
We solve the exercises in parentheses and obtain:
374
To make solving easier, we break down 29 into more comfortable numbers, preferably round ones.
We obtain:
We multiply 6 by each of the terms in parentheses:
We solve the exercises in parentheses and obtain:
174