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

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Presentation on theme: "Base 10 and Powers of 10. Explain what you see. Now, what do you think? Ten to the power of zero = 10º = 1 One Unit Cube."— Presentation transcript:

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 = 1 One 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 = 100 Why 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 = 1000 Why do we say (10³) ten cubed? 10 x 10 x10 Cube

10 What patterns do you discover when you make a comparison? 10º = 1 10¹ = 10 10³ = 10 x = ² = 10 x 10 = 100

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 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?

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

14 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 ²10 10¹1 10º 100,00010,0001,000 10³ 100,000,00010,000,0001,000, ,000,000,00010,000,000,0001,000,000,000

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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