Question

Which property was applied to create this equivalent expression? 7x+(5+6×)--->(7x+5)+6x

Answer 1

Associative property of Addition.

Explanation:

We are given the following information in the question:

We are given the expression:

`7x + (5+6x) = (7x+5)+6x`

We have used the associative property of addition.

Associative property of addition:

• The associative property states that we can add regardless of how the numbers are grouped.
• By grouped it is meant how you use parenthesis are used.
• In other words, if we are adding, it does not matter where you put the parenthesis.
• Whatever may be the order of addends, the sum will always be same.

Answer 2

Associative property is applied

Explanation:

7x+(5+6×)--->(7x+5)+6x

In the given expression , the terms are grouped in different order

In associative property, we can group the numbers in any order

(a+b)+c -------> a+(b+c)

first two terms are grouped on the left side

last two terms are grouped on the right side

7x+(5+6×)--->(7x+5)+6x

In the given expression, the terms are grouped in different order

So Associative property is applied