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Base 10 and Powers of 10

Base 10 and Powers of 10. Explain what you see. Now, what do you think? Ten to the power of zero = 10 º = 1 One Unit . Cube. Explain what you see. Now, what do you think? Ten to the power of one = 10¹ = 10. Long or Rod. Explain what you see.

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Base 10 and Powers of 10

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  1. Base 10 and Powers of 10

  2. Explain what you see.

  3. Now, what do you think?Ten to the power of zero = 10º = 1One Unit Cube

  4. Explain what you see.

  5. Now, what do you think? Ten to the power of one = 10¹ = 10 Long or Rod

  6. Explain what you see.

  7. Now, what do you think? Ten to the power of two = 10² = 100Why do we say (10²) ten squared? 10 x 10 Square or Flat

  8. Explain what you see.

  9. Now, what do you think? Ten to the power of three = 10³ = 1000Why do we say (10³) ten cubed?10 x 10 x10 Cube

  10. What patterns do you discover when you make a comparison? 10º = 1 10² = 10 x 10 = 100 10¹ = 10 10³ = 10 x 10 10 =1000

  11. What do you think will come next? • Are you able to predict? • Explain your thinking

  12. What do you think will come next? 10 x 10 x 10 x 10 = 10,000 = 10 to the 4th power 10 x 10 x 10 x 10 x 10 = 100,000 = 10 to the 5th power 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 = 10 to the 6th power 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000 = 10 to the 7th power 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 = 10 to the 8th power 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000 = 10 to the 9th power Could we continue from here?

  13. What do you notice about this pattern?How would you label each section? Write each number in exponential form.

  14. How do your conclusions compare?How did you label each section?Were your numbers written in exponential form correct? How do you know?

  15. Let’s clarify Base Ten and Exponents (Powers) 10³ Exponent Base The base (10) is the number which will be multiplied by itself the number of times that the exponent indicates. 10³ = 10 x 10 x 10 = 1000

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