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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 37 Page 324

Pay close attention to the order of operations.

- 4

Practice makes perfect

According to the order of operations, the expression in parentheses is calculated first.

( - 4 + 12 - 6^2 ) ÷ 7 For this, we must remember to first evaluate the expression in parentheses, which includes evaluating the exponent first, then the addition and subtraction. After we calculate the expression in parentheses, we can finally divide.

Operation	Before Simplification	After Simplification
Calculate power	( - 4 + 12 - 6^2 ) ÷ 7	( - 4 + 12 - 36 ) ÷ 7
Add and subtract terms	( - 4 + 12 - 36 ) ÷ 7	( - 28 ) ÷ 7
Divide	( - 28 ) ÷ 7	- 4

The expression equals - 4.

Alternative Solution

Using a Calculator

We can also evaluate this expression using a calculator. To do so, type it as shown below.

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