Exponents

Vocabulary

exponent – the number of times a number is multiplied by itself.

base – the number that is being multiplied.

83base

exponent

This is read “8 to the 3rd power” or “8 cubed.”

It means 8 x 8 x 8.

Evaluating Exponents

25= 2 x 2 x 2 x 2 x 2 = 32

63 = 6 x 6 x 6 = 216

1.34 = 1.3 x 1.3 x 1.3 x 1.3 = 2.8561

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

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.

Example 7, 946

7, 000 + 900 + 40 + 6(7 x 1,000) + (9 x 100) + (4 x 10) + (6 x 1)

7 x 103 + 9 x 102 + 4 x 101 + 6

Homework Time