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

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Presentation on theme: "POWERS of 10 AND EXPONENTS. What are powers of 10 and exponents? Learn Zillion."— Presentation transcript:

1 POWERS of 10 AND EXPONENTS

2 What are powers of 10 and exponents? Learn Zillion

3 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.

4 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.

5 EXPONENTIAL FORM 2³ base exponent

6 EXPANDED FORM 2³ = 2 x 2 x 2 factors

7 STANDARD FORM 2³ = 2 x 2 x 2 8 4 x 2

8 POWERS AND EXPONENTS 4³ 4 x 4 x 4 64 7² 7 x 7 49 m 5 m  m  m mm

9 CRITICAL THINKING: 10² 10 x 100 10³ 10 x x 1000 Exponential Form Expanded Form Standard Form 10 x x x10 10000 4 How could you find 10 without using a calculator? 20 10

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

11 CRITICAL THINKING CAN YOU WRITE 5 x 4 x 2 IN EXPOENTIAL NOTATION?

12 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

13 Practice In your math book on page 73, complete numbers 1- 34 all. Use your notes to help you!


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