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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 13 Page 321

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

- 216

Practice makes perfect

The expression - 6^3, or negative of 6 to the third power, can be written as the product of three 6 terms with a negative sign in front. Note that the negative sign is applied after raising 6 to the third power. - 6^3 ⇔ - (6^3)Let's evaluate the expression. We add parentheses to better visualize all of the transitions, although they are not necessary.

- 6^3

Add parentheses

- (6^3)

Rewrite 6^3 as 6* 6* 6

- ( 6* 6* 6)

Multiply

- (216)

Remove parentheses

- 216

Using a calculator, we can either enter - 6^3 or - 6* 6* 6, or -(6* 6* 6). 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