POWERS of 10 AND EXPONENTS. What are powers of 10 and exponents? Learn Zillion.

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Presentation transcript:

POWERS of 10 AND EXPONENTS

What are powers of 10 and exponents? Learn Zillion

POWERS & EXPONENTS VOCABULARY 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 & EXPONENTS VOCABULARY 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 2³ base exponent

EXPANDED FORM 2³ = 2 x 2 x 2 factors

STANDARD FORM 2³ = 2 x 2 x x 2

POWERS AND EXPONENTS 4³ 4 x 4 x ² 7 x 7 49 m 5 m  m  m mm

CRITICAL THINKING: 10² 10 x ³ 10 x x 1000 Exponential Form Expanded Form Standard Form 10 x x x 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 10 4 in expanded form. Write 2 5 in standard form. How would you read: –7 5 –3 2 –6 3

Practice In your math book on page 73, complete numbers all. Use your notes to help you!