1. Exponents
Lesson 2-8

2. Vocabulary
exponent – the number of times a number is multiplied by itself.
base – the number that is being multiplied.
exponent 83
base
This is read “8 to the 3rd power” or “8 cubed.”
It means 8 x 8 x 8.

3. Evaluating Exponents 25
= 2 x 2 x 2 x 2 x 2
= 32
= 6 x 6 x 6
= 216 63
1.34
= 1.3 x 1.3 x 1.3 x 1.3 =

4. Exponents with a base of 10
Any multiple of ten can be expressed as an exponent with a base of ten.
The base is 10. The number of zeroes gives us the exponent.
Example: 100 = 102
10,000 = 104
1,000,000 =
106

5. Writing in Expanded Form Using Powers of 10
First, write the problem in expanded form.
Then, change each term to a multiplication of the value and its place.
Change the place values to exponents with powers of 10.

6. Example
7, 946 7,
(7 x 1,000) + (9 x 100) + (4 x 10) + (6 x 1)
7 x x x

7. Homework Time