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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

Cumulative Practice

Exercise 7 Page 498

Changing the order of the terms does not change the sum.

G

To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed. 723 + (y + 277) = 723 + (277 + y) In this case, the terms are being added. The equation shows that changing the order of the terms being added does not change the sum. This is the Commutative Property of Addition.

723 + (y + 277) = 723 + (277 + y)

CommutativePropAdd

Commutative Property of Addition

723 + (y + 277) = 723 + (y + 277)

This corresponds to answer G.

Extra

The Other Properties

In this exercise, we saw an example of the Commutative Property of Addition. Now, let's review some other Properties of Real Numbers.

Associative Property of Addition: This property shows that changing the grouping of the terms being added does not change the sum.
Associative Property of Multiplication: This property shows that changing the grouping of the factors being multiplied does not change the product.
Distributive Property: This property shows that the product of a number and a parenthetical factor is equal to the sum of the products of the number and each term inside the parentheses.
Identity Property of Multiplication: This property shows that the product of a number and 1 is equal to the number itself.

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