Order of Operations

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Order of Operations. Section 1.3. 1.3. Order of Operations. 1. GOAL. Use the order of operations to evaluate algebraic expressions. To solve real-life problems, such as calculating the cost of admission for a family to a state fair. What you should learn. Why you should learn it. 1.3.

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Order of Operations

Section 1.3

1.3

Order of Operations

1

GOAL

Use the order of operations to evaluate algebraic expressions.

To solve real-life problems, such as calculating the cost of admission for a family to a state fair.

Whatyou should learn

Why you should learn it

1.3

Order of Operations

USING THE ORDER OF OPERATIONS

1

GOAL

WHAT IS THE ORDER OF OPERATIONS?

It’s the method we use to evaluate an expression involving more than one operation:

1.

2.

3.

4.

Parenthesis (innermost first, work to the outermost)

Powers

Multiplication and division

left to right

left to right

EXAMPLE 2

What happens when operations that have the same priority appear in the same expression, such as 5 – 4 +1?

5 – 4 + 1

1 + 1

2

5 – 4 + 1

5 – 5

0

Which is correct?

Perform the operations from

left to right!

Simplify the expression. Click to see each step.

Example 4

Hint: The fraction bar serves as a grouping symbol. Simplify the numerator and denominator separately before the final step.

Simplify the power.

Simplify the numerator.

Work from left to right.

Subtract.

Simplify.

Simplify the expression.

Checkpoint
• 1. Evaluate the expression when x = 5.
• a. 2x2 + 8 b. 100 ÷ x2 + 6

58

10

• Simplify the expression.
• a. 25 + 10 – 8 b. 24 ÷ 2 • 3

27

36

4

Homework
• Worksheet 1.3 B

#’s 1-24 evens

SHOW YOUR WORK!! 

Can use a calculator to CHECK your answers but you MUST show your work for each step!