The Order of Operations

Chapter 1.5

1. Evaluate inside grouping symbols ( ), { }, [ ], | |, √ (square root), ─ (fraction bar)

2. Evaluate exponents

3. Multiply and divide left to right

4. Add and subtract left to right

Using the Order of Operations

1. 25 ÷ 5 • 6 + problem

25 exponents

5 divide

multiply30

add38

Using the Order of Operations

23

• 6÷ 5 + 8

• 6 + 8

+ 8

2. (-4)3 problem

exponents-64-128 subtract

–

Using the Order of Operations

– 26

64

3. 6 – problem

(-4) (subtract)

6 – exponents

divide6 – 16 +

subtract-10 + 4

add-6

Using the Order of Operations

(8 – 12)2 + 8 ÷ 2

6 – 2 + 8 ÷ 2

16 + 8 ÷ 2

4

( )43( )( )7

-15

-14 ( )4. + 2-1 ÷

52

34

1

-2

615-415

1

2x

(-10)

Using the Order of Operations

multiplysimplify first

+ 2-1 change to

multiplicationwrite the reciprocal

multiplysimplify first5

2 + 3-2

change to equivalent fractions, LCD = 15

+

add

The Order of Operations

Chapter 1.5