Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
Maintaining Mathematical Proficiency
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Exercise 2 Page 1

Pay close attention to the order of operations.

-46

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

4-2(3+2)^2 For this problem, we must remember to evaluate the sum inside the parentheses first, then exponents, after that multiplication, and finally the subtraction.

Operation Before Simplification After Simplification
Add terms 4-2( 3+2)^2 4-2( 5)^2
Calculate power 4-2(5) ^2 4-2( 25)
Multiply 4- 2(25) 4- 50
Subtract term 4-50 -46
The expression equals -46.

Alternative Solution

Using a Calculator

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