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Base 10 and Powers of 10

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Explain what you see.

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

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Explain what you see.

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

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Explain what you see.

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

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Explain what you see.

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

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

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

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

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What do you notice about this pattern? How would you label each section? Write each number in exponential form. 100101 100,00010,0001,000 100,000,00010,000,0001,000,000 100,000,000,00010,000,000,0001,000,000,000

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How do your conclusions compare? How did you label each section? Were your numbers written in exponential form correct? How do you know? Flat or Square 100’s Long or Rod 10’s Cube 1’s 100 10²10 10¹1 10º 100,00010,0001,000 10³ 100,000,00010,000,0001,000,000 100,000,000,00010,000,000,0001,000,000,000

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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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