Core Connections: Course 2
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2. Section 4.2
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Exercise 63 Page 215

Practice makes perfect
First, let's circle the terms in the expression. Recall that a term is an algebraic or numeric expression that does not involve addition or subtraction.

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

pemdas

For the given expression, this means performing the multiplication before the addition. 3+1* 4+(- 7) Let's do it!

Operation Before Simplification After Simplification
Multiplication 3+ 1* 4+(- 7) 3+ 4+(- 7)
Addition 3+ 4+( - 7) 0

The expression is equal to 0.

Let's start by circling the terms in the expression!

By the order of operations, we perform the multiplication before the addition. 50+3(- 10)+2(- 20) Let's do it!

Operation Before Simplification After Simplification
Multiplication 50+ 3( - 10)+ 2( - 20) 50+( - 30)+( - 40)
Addition 50+( - 30)+( - 40) - 20

The expression is equal to - 20.

We can begin by circling the terms in the expression!

By the order of operations, we perform the multiplication before the addition. 4+(- 50)* 2 Let's do it!

Operation Before Simplification After Simplification
Multiplication 4+( - 50)* 2 4+( - 100)
Addition 4+( - 100) - 96

The expression is equal to - 96.

First, we can circle the terms in the expression.

By the order of operations, we evaluate the expressions inside the parentheses before performing the multiplication. (4+(- 170))(5+(- 4)) Let's do it!

Operation Before Simplification After Simplification
Addition ( 4+( - 170))( 5+( - 4)) ( - 166)( 1)
Multiplication ( - 166)( 1) - 166

The expression is equal to - 166.