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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!
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