Powers of Ten

Powers of Ten

Sections within this review:

1. Exponents
2. Base ten with positive exponents
3. Base ten with negative exponents

Let's talk about exponents...

The exponent tells us how many times to multiply out the base times itself.

Multiple Choice

5² , in this example, 5 is the ______ and 2 is the _______

• base, product

• exponent, base

• base, exponent

• product, base

Multiple Choice

Which expression is in expanded form?

• 5³
• 5x5x5
• 125
• 53

Multiple Choice

Write 3⁴ in expanded form.

• 3+3+3+3

• 4+4+4

• 4x4x4

• 3x3x3x3

Multiple Choice

Simplify 8³

• 512

• 24

• 4096

• 288

Multiple Choice

Which is larger?

5³ or 3⁵

• 5³

• 3⁵

• They are equal

Multiple Choice

Which expression has the largest value?

• 6²
• 2⁶
• 1¹⁰
• 10¹

Multiple Choice

Any number written to the 0 power is always 1

Example: 8⁰=1

• True

• False

• Sometimes

Base Ten with Positive Exponents

• Example:

   $10^3$  

• Will have a whole number for the result

• If you need to write a whole number in decimal form, you add the decimal to the back of the whole number.

Multiple Choice

What is the meaning of 10³?

• 10 x 3
• 10 + 10 + 10
• 10 + 3
• 10 x 10 x10

Multiple Choice

10³ = _____

• 30
• 3,000
• 10
• 1,000

Multiple Choice

10⁰

• 1
• 10
• 100
• 1,000

Multiple Choice

 $10^2=$  ______ = ___

•  $10\times10=20$  

•  $10\times10=100$  

•  $10\times2=20$  

•  $10+10=20$  

Multiple Choice

10¹

• 10
• 100
• 1,000
• 10,000

Multiple Choice

10⁴

• 1,000
• 10,000
• 10
• 100

Multiple Choice

Which expression is equivalent to 10⁶?

• 1,000,000
• 60
• 3,294,360
• 600

Multiple Choice

Express the following numbers as powers of ten:
100,000

• 10⁴
• 10⁵
• 10⁶
• 10⁷

Base Ten with Negative Exponents

• Example:

   $10^{-3}$  

• Will have a decimal that is less than 1 for the result

Multiple Choice

 What is 10^-2 written as a decimal?

• 0.001
• 0.0001
• 0.02
• 0.01

Multiple Choice

What is 10^-2  written as a fraction?

• 1/100
• 1/1000
• 1/10
• 1/200

Multiple Choice

Which is a true statement?

• 10^-3 = 0.001

• 10^-5 = 0.0001

• 10^-1 = 0.01

• 10^-2 = 0.001

Multiple Choice

Write the following in expanded form:

 $10^{-4}$  

•  $\frac{1}{10}\times\frac{1}{10\ }\times\frac{1}{10}\times\frac{1}{10}$  
  

• 104

•  $\frac{1}{10^4}$  

•  $-10\times-10\times-10\times-10$  
  

Multiple Choice

Which of the following is NOT equal to 10^-3 ?

• 0.001
• 1/1000
• -0.001

Multiple Choice

 What is 10^-5 written as a decimal?

• 0.00001
• 0.0001
• 0.000001
• 0.00005

Multiple Choice

 $10^{-2}$  is equivalent to:

•  $\frac{1}{10^{-2}}$  
  

•  $10^{-2}$  
  

•  $\frac{1}{10^2}$  

•  $10^2$  

Multiple Choice

Select the correct answer.

10 ^{- 2} is the same as:

• $\frac{1}{10^2}$
  
  

  and 0.02

• $-\frac{1}{10^2}$
  
  and 0.001

• $\frac{1}{10^2}$
  
  

  and -0.01

• $\frac{1}{10^2}$
  
  

  and 0.01

Multiple Choice

Which is the correct exponent ? 0.000001 = 10^?

• 6

• 5

• -6

• -5