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Exercises Expressions, exponents and radicals

Example 7.33 from Prealgebra, 7.4 Properties of Identity, Inverses, and Zero

Properties of Identity, Inverses, and Zero: example 7.33

Identify whether each equation demonstrates the identity property of addition or multiplication.

ⓐ $7 + 0 = 7$
ⓑ $−16 (1) = −16$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

ⓐ

$7 + 0 = 7$

We are adding 0. We are using the identity property of addition.

ⓑ

$−16 (1) = −16$

We are multiplying by 1. We are using the identity property of multiplication.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Identify whether each equation demonstrates the identity property of addition or multiplication:

ⓐ $23 + 0 = 23$ ⓑ $−37 (1) = −37 .$

How did it go?

PreviousDistributive Property: example 7.32 Next Properties of Identity, Inverses, and Zero: example 7.34

From Prealgebra (1st edition) by OpenStax (Rice University), section 7.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.