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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Properties of Real Numbers

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Exercise 7 Page 26

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

Commutative Property of Addition

Practice makes perfect

To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed. 75+6=6+75 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.

75+6=6+75

Add terms

81=81

Extra

The Other Properties

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

Commutative Property of Multiplication: This property shows that changing the order of the factors being multiplied does not change the product.
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.

Subchapter links

Lesson Check p.26

Practice and Problem-Solving Exercises p.26-28

Standardized Test Prep p.28

Mixed Review p.28