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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Exponents

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Exercise 21 Page 323

When raising a number to an exponent we multiply it by itself that many times as indicated by the exponent.

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Practice makes perfect

The expression ( 12)^6, or 12 to the sixth power, can be written as the product of six 12 terms. Let's evaluate the expression.

(1/2)^6

Rewrite (1/2)^6 as (1/2)* (1/2)* (1/2)* (1/2)* (1/2)* (1/2)

(1/2)* (1/2)* (1/2)* (1/2)* (1/2)* (1/2)

Multiply fractions

1* 1* 1* 1* 1* 1/2* 2* 2* 2* 2* 2

Identity Property of Multiplication

1/2* 2* 2* 2* 2* 2

Multiply

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Using a calculator, we can either enter ( 12)^6, or 12 * 2* 2* 2* 2* 2, or 164. All of the expressions give us the same answer.

Subchapter links

Try It p.320-321

Self-Assessment for Concepts & Skills p.321

Self-Assessment for Problem Solving p.322

Review & Refresh p.323

Concepts, Skills, & Problem Solving p.323-324