POWERS of 10 AND EXPONENTS

What are powers of 10 and exponents?• Learn Zillion

POWERS & EXPONENTSVOCABULARY

• FACTORS - numbers that are multiplied together.

• BASE - the number to be multiplied

• EXPONENT - tells how many times the base is used as a factor.

POWERS & EXPONENTSVOCABULARY• POWER - a number that is

expressed using exponents.• SQUARED - a number that

has an exponent of 2.• CUBED - a number that has

an exponent of 3.

EXPONENTIAL FORM

2³base

exponent

EXPANDED FORM

2³ = 2 x 2 x 2

factors

STANDARD FORM

2³ = 2 x 2 x 2

84 x 2

POWERS AND EXPONENTS

Exponent Form Factor Form Standard form

4³ 4 x 4 x 4 64

7² 7 x 7 49

m5 mm m m m

CRITICAL THINKING:

10² 10 x 10 100

10³ 10 x 10 x 10 1000

Exponential

Form

Expanded

Form

Standard

Form

10 x 10 x 10 x10 100004

How could you find 10 without using a calculator?

20

10

A light year is the distance light travels in one year. The Milky Way galaxy is about 100,000 light years wide. Write 100,000 as a power with 10 as the base.

10 5

CRITICAL THINKING

• CAN YOU WRITE 5 x 4 x 2 IN EXPOENTIAL NOTATION?

PRACTICE

• Write 4 x 4 x 4 in exponential form.• Write 104 in expanded form.• Write 25 in standard form.

• How would you read:– 75

– 32

– 63

Practice

• In your math book on page 73, complete numbers 1- 34 all.

• Use your notes to help you!