Order of Operations and Exponents

Exponents

Review

• Evaluating exponents involves repeated addition

• If a number has an exponent of 2 it is referred to as being squared, 3² you say "three squared"

• If a number has an exponent of 3 it is referred to as being cubed, 4³ you say "four cubed"

Multiple Choice

Which number is the BASE?

2³ = 8

• 2

• 3

• 8

Multiple Choice

Which number is the EXPONENT?

2³ = 8

• 2

• 3

• 8

Multiple Choice

Which number is the base?

5⁴

• 4

• 5

Multiple Choice

Which number is the exponent?

6⁷

• 6

• 7

Evaluating Exponents

The exponent tells you how many times to multiply the base.

Writing in Exponential Form

The exponent is the number of times you see the base written.

Multiple Choice

Solve. 

$$4^2$$  

• 8

• 6

• 12

• 16

Multiple Choice

What is nine cubed in exponential form?

• 9 x 9 x 9 
• 9³

Multiple Choice

Evaluate 2^4.

• 8

• 20

• 16

• 12

Multiple Choice

Evaluate 5^3.

• 15

• 125

• 8

• 53

Multiple Choice

What is nine squared in exponential form?

• 9 x 9

• 9²

Multiple Choice

Write in exponential form

7 x 7 x 7 x 7 x 7 x 7 ?

• 7⁵

• 7⁶

• 6⁷

• 7⁷

Multiple Choice

Write in exponential form

1/2 x 1/2 x 1/2 x 1/2

• (1/2)³

• (1/2)²

• (1/2)⁵

• (1/2)⁴

Order of Operations

What are the order of operations?

• P

• E

• M/D

• A/S

Multiple Choice

Solve.

$$\left(3\ \times\ 4\right)\ -\ \left(2\ \times\ 6\right)$$  

• 9

• 0

• 24

• 10

P stands for Parentheses

• Solve the Grouping Symbols first

• These include: Parentheses, Brackets, and Braces

Open Ended

What does the P in PEMDAS stand for?

E stands for Exponents

• Solve the exponents after you have solved the grouping symbols.

• Remember the exponent tells you how many times to multiply a number by itself

• Ex: 4³ 4x4x4= 84

• NOT 4 x 3 (This is the most common mistake!)

Open Ended

What does the E in PEMDAS stand for?

Open Ended

What does the MD in PEMDAS stand for?

Multiply and Divide (L to R)

• Multiplication and Division are done in the order they arise, from LEFT to RIGHT.

Multiple Choice

Solve.

$$9\ \times\ 2\ \div6$$  

• 27

• 9

• 4

• 3

Open Ended

What does the AS in PEMDAS stand for?

Addition and Subtraction

Add and subtract from LEFT TO RIGHT

Multiple Choice

Solve.

$$8\ +4\ -\ 2$$  

• 12

• 10

• nine

• 7

Multiple Choice

Simplify

• 232

• 278

• 332

• 488

Multiple Choice

• 156

• 67

• 78

• 128