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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 19 Page 323

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

- 1331

Practice makes perfect

The expression - 11^3, or negative of 11 to the third power, can be written as the product of three 11 terms with a negative sign in front. Note that the negative sign is applied after raising 11 to the third power. - 11^3 ⇔ - (11^3)Let's evaluate the expression. We add parentheses to better visualize all of the transitions, although they are not necessary.

- 11^3

Add parentheses

- (11^3)

Rewrite 11^3 as 11* 11* 11

- ( 11* 11* 11)

Multiply

- (1331)

Remove parentheses

- 1331

Using a calculator, we can either enter - 11^3, or - 11* 11* 11, or -(11* 11* 11). 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