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.