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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

3. Properties of Addition and Multiplication

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Exercise 19 Page 219

Changing the order of the factors does not change the product.

Commutative Property of Multiplication

Practice makes perfect

To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed. 5* p = p* 5 In this case, the terms are being multiplied. The equation shows that changing the order of the terms being added does not change the product. This is the Commutative Property of Multiplication.

5* p = p* 5

Multiply

5p=5p

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

Try It p.216-217

Self-Assessment for Concepts & Skills p.217

Self-Assessment for Problem Solving p.218

Review & Refresh p.219