1 / 11

# Negative exponents - PowerPoint PPT Presentation

Negative exponents. What do we know? . Which number is in exponential form: -10, , 10 Identify the Base of that number What is the exponent in that number ?. - the number being multiplied by itself ie . 10. +2. What does the exponent represent? 10.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Negative exponents' - ciara

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Negative exponents

• Which number is in exponential form:

-10, , 10

• Identify the Base of that number

• What is the exponent in that number?

- the number being multiplied by itself ie. 10

+2

• 10 x 10

Or the number of times the base is used as a factor.

Also called the “power”

1

10

100

1000

• 100 =

• 101=

• 102=

• 103=

What are we doing each time to get the next number in standard form?

= 1 x 10

= 10 x 10

= 100 x 10

Multiplying by 10

• 103 = 1000

• 102= 100

• 101= 10

• 100 = 1

• Do you see a pattern?

•  10 =

•  10 =

•  10 =

What if we keep going down and use our negative integers as exponents?

Based on our patterns we have just seen, what will happen?

Writing negative exponentsin multiple forms

• If 10-1 = 1/10 how could you write that in decimal form?

• How about 10-2 = 1/100, write it in decimal form.

• How about 10-3 ? Write it in decimal form.

• What type of numbers will be represented by powers of 10 with negative exponents?

Answer: decimals and fractions, small numbers between 0 and 1

.01

or

10-2

1

0

Write a rule to show the fraction form of a negative exponent

10-x =

1

10x

• Ex. 10-2 = 1 = 1 = .01

• 102 100