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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

Maintaining Mathematical Proficiency

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Exercise 1 Page 1

Pay close attention to the order of operations.

$47$

According to the order of operations, expressions inside parentheses are evaluated first, and addition and subtraction are evaluated last.

5 \cdot 2^{3} + 7

For this problem, we must remember to evaluate the exponent first, multiplication next, and finally the sum.

Operation	Before Simplification	After Simplification
Calculate power	$5 \cdot 2^{3} + 7$	$5 \cdot 8 + 7$
Multiply	$5 \cdot 8 + 7$	$40 + 7$
Add terms	$40 + 7$	$47$

The expression equals

47 .

Alternative Solution

Using a Calculator

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

Subchapter links

Exercises p.1