Question

Rahal is adding the Epression below. -3+[(-7)+(-6)] First he rewrites the expression. [3+(-7)]+(6) Which number property did Rashal use to rewrite the expressio?

Answer 1

Note: The second expression must be $[(-3)+(-7)]+(-6)$ instead of $[3+(-7)]+(6)$

Given:

The given expression is:

$-3+[(-7)+(-6)]$

Rahal rewrites the expression as:

$[(-3)+(-7)]+(-6)$

To find:

The property that Rahal use to rewrite the expression.

Solution:

According to the associative property of addition, if a, b and c are three real numbers, then

$a+(b+c)=(a+b)+c$

We have,

$-3+[(-7)+(-6)]$

Using the associative property of addition, we get

$-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)$

Therefore, the required property is associative property of addition.