Exercise 11 Page 78

Pay close attention to the order of operations.

Practice makes perfect

According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!

For the given expression, this means evaluating the sum inside the parentheses completely before calculating the exponent. (35+9)÷ 4 - 3^2 Let's do it!

Operation	Before Simplification	After Simplification
Add Terms	(35+9)÷ 4 - 3^2	44÷ 4 - 3^2
Calculate Power	44÷ 4 - 3^2	44÷ 4 - 9
Divide	44÷ 4 - 9	11 - 9
Subtract	11 - 9	2

The expression is equal to 2.

Alternative Solution

Using a Calculator

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

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Subchapter links

Try It p.74-76

Self-Assessment for Concepts & Skills p.76

Self-Assessment for Problem Solving p.77

Review & Refresh p.78

Concepts, Skills, & Problem Solving p.78-80

Exercise 11 Page 78

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Alternative Solution