Exponents and Prime Factorization

Prime Factorization

100

DOUBLE JEOPARDY!

What is the prime factorization of 325?

5²x13

or 

5x5x13

200

What is the prime factorization of 32?

2⁵

^or

^2x2x2x2x2

300

What is the prime factorization of 175?

5² x 7

or

5x5x7

400

What is the prime factorization of 363?

3x11²

^or

^3x11x11

500

What is the prime factorization of 418?

2x11x19

Expanded Form

100

Write the following in expanded form:

2⁶

2x2x2x2x2x2

200

Write the following in expanded form:

5³

5x5x5

300

Write the following in expanded form: 

7⁹

7x7x7x7x7x7x7x7x7

400

DOUBLE JEOPARDY!!! Solve the Problem!

Write the following in expanded form:

5³ x 3² x 6⁴

5x5x5x3x3x6x6x6x6

1,458,000 

500

Write the following in expanded form:

2² x 3²

2 x 2 x 3 x 3

Exponential Form

100

Write the following using exponents:

2 x 2 x 2 x 2

2⁴

200

Write the following using exponents: 

3x3x3x3x3x3x3

3⁷

300

DOUBLE JEOPARDY!!! Solve the Problem!

Write the following using exponents: 

2x2x4x5x5x7

2² x 4 x 5² x 7

2,800

400

Write the following using exponents:

4x4x4+3x3

4³ + 3²

500

Write the following using exponents:

3x3x3x3+4x4+2x2x2

3⁴ + 4² +2³

Exponent Basics

100

Identify the base in the following expression:

5⁴

5

200

What is the value of the following equation:

5⁰

1

300

True or False:

5x5x5=5³=15

False

400

Identify the exponent in the following expression:

5⁴

4

500

Explain how to determine what the exponent should be in an equation.

Count how many times a number is used as a factor

Powers of 10

100

When you divide a number by a power of 10, you move the decimal in what direction?

to the left

200

.002 x 100 = .02 x ___ = ____

10²

2

300

When you multiplying a number by a power of 10, you move the decimal in what direction?

to the right

400

.18 x 1000 = .18 x ___ = ____

10³

¹⁸⁰

500

DOUBE JEOPARDY!

Round to the nearest hundredths:

5,286,574.913 ÷ 1,000,000 = 

5.29