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How can you use exponents to represent repeated multiplication of the same number?

How can you use exponents to represent repeated multiplication of the same number?. Suppose you wanted to start with 5 and then repeatedly multiply by 5 until there are 1,000 factors of 5. How could you record this calculation?. Why might you want a different way to show this?.

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How can you use exponents to represent repeated multiplication of the same number?

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  1. How can you use exponents to represent repeated multiplication of the same number? Suppose you wanted to start with 5 and then repeatedly multiply by 5 until there are 1,000 factors of 5. How could you record this calculation?

  2. Why might you want a different way to show this?

  3. It will take a VERY long time to write out the calculation. • Suppose you multiplied 4 by itself 5 times. How could you record this calculation?

  4. How can you start with 4 and then repeatedly multiply by 4 until there are 5 factors? How could you write this using the multiplication symbol?

  5. 4 x 4 x 4 x 4 x 4 -- this is known as expanded form. • You can also watch this another way. Which number is multiplied repeatedly?

  6. The 4. • How many times is 4 used as a factor?

  7. 5 times…. • So you can write it this way: • The number that is repeatedly multiplied is called the BASE. What is the base? • The EXPONENT shows the number of times the base is used as a factor. What is the exponent?

  8. 3 x 3 x 3 x 3 • Write these expressions in another form.

  9. Write • Do you and your group members have the same answer? • Write either a factor with an exponent or an expression in expanded form. Trade with your partner to see if they can solve.

  10. Independently work on numbers 1-4 on page 72 • And numbers 8-22 on page 73

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