   Chapter 1.3, Problem 12PS

Chapter
Section
Textbook Problem

For Problems 1-14, state the property that justifies each of the statements. For example, 3 + ( − 4 ) = ( − 4 ) + 3 because of the commutative property of addition.(Objective 1) ( x + 3 ) + ( − 3 ) = x + [ 3 + ( − 3 ) ]

To determine

To state:

The property that justifies the statement.

Explanation

Definition:

Associative Property of Addition:

If a,b, and c are real number, then

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

Given:

(x+3)+(3)=x+[3+(3)]

Calculation:

By the above definition,

We say that addition is an associative operation. Changing the grouping of the numbers does not affect the final sum

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