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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

5. The Coordinate Plane

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Exercise 10 Page 374

What effect does adding 0 to a real number have on the number?

Identity 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. m+0=m In this case, the terms are being added and one of the terms is 0. Because addittion of 0 to a real number has no effect on the value of the number, 0 is known as the additive identity. Therefore, the given equation demonstrates the Identity Property of Addition.

m+0=m

Add terms

m=m

Extra

The Other Properties

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

Commutative Property of Multiplication: This property shows that changing the order of 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.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