Exponents and Order of Operations

Exponents and Order of Operations

REVIEW EXPONENTS

Remember that exponents are repeated multiplication.

REVIEW EXPONENTS

VOCABULARY

Base: the number being multiplied.

Exponent: the number of times you multiply the base by itself.

Power: the base and the exponent together.

REVIEW OF EXPONENTS

Expanded form

Write the power as repeated multiplication

Here is the expanded form of 5³

Standard form

The value of the power after doing the repeated multiplication.

5³ = 125

Multiple Choice

What form is 7x7?

• Exponential form

• Expanded form

• Standard form

Multiple Choice

What form is 4⁸

• Exponential form

• Expanded form

• Standard form

Multiple Choice

Write 9² in standard form

• 81

• 18

• 9x9

• 9+9

REVIEW OF ORDER OF OPERATIONS

EXAMPLE:

9 X 5 + 6 - 2

Step 1: = 45 + 6 - 2

Step 2: = 51 - 2

Step 3: = 49

EXAMPLE

4² - (5 +2) x 2

Step 1: = 4² - 7 x 2

Step 2: = 16 - 7 x 2

Step 3: = 16 - 14

Step 4: = 2

Multiple Choice

What would this expression look like after the first step?

4 + 5 x 8

• 9 x 8

• 4 + 40

Multiple Choice

Which operation would you do first in this problem?

 $10\div5\ \times4\ +\ 8$  

• Multiplication

• Division

• Addition

Multiple Choice

Which operation would you do LAST in this problem?

 $7^2\ -5\ +8$  

• Exponent

• Subtraction

• Addition