body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 6

BI

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

5. The Coordinate Plane

Continue to next subchapter

Exercise 9 Page 374

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

Associative 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. (2* p)* 3=2*(p* 3) In this case, the factors are being multiplied. The equation shows that changing the grouping of the factors being multiplied does not change the product. This is the Associative Property of Multiplication.

2* p * 3 = 2* p * 3

Add parentheses

(2* p)* 3=2*(p* 3)

Extra

The Other Properties

In this exercise, we saw an example of the Associative Property of Multiplication. Now, let's review some 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.
Commutative Property of Addition:This property shows that changing the order of the terms being added does not change the sum.
Associative Property of Addition: This property shows that changing the grouping of the terms being added does not change the sum.
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.370-372

Self-Assessment for Concepts & Skills p.372

Self-Assessment for Problem Solving p.373

Review & Refresh p.374

Concepts, Skills, & Problem Solving p.374-376