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Integer Exponents

Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

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What pattern do you see in the powers of 5? What pattern do you see in the powers of 4? What patterns do you see in the powers of 3? Complete the table. Write a general rule for the value of a 0. Write a general rule for the value of a -n.

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Page 1: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Integer Exponents

Page 2: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Warm UpFind Each Product or Quotient

1. 45.3 x 103 5. 0.5 x 102

2. 7.08 ÷ 102 6. 67.7 ÷ 105

3. 0.00235 x 106 7. 0.0057 x 104

4. 3600 ÷ 104 8. 195 ÷ 106

Page 3: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

• What pattern do you see in the powers of 5?• What pattern do you see in the powers of 4?• What patterns do you see in the powers of 3?• Complete the table.• Write a general rule for the value of a0.• Write a general rule for the value of a-n.

Page 4: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 5: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 6: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 7: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 8: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 9: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Use the general rules we discovered.

Page 10: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 11: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 12: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600
Page 13: Integer Exponents. Warm Up Find Each Product or Quotient 1.45.3 x 10 3 5. 0.5 x 10 2 2.7.08 ÷ 10 2 6. 67.7 ÷ 10 5 3.0.00235 x 10 6 7. 0.0057 x 10 4 4.3600

Simplify each expression.


T-T5-12 · 4ÈKft 571 590 190 167 18 30 10 160 358 835 551 526 524 502 243 0.0085 0.0036 0.0071 0.0688 0.0079 0.0096 0.0064 0.0063 0.0057 0.0065 49,678 38,541

T-T5-12 · 4ÈKft 571 590 190 167 18 30 10 160 358 835 551 526 524 502 243 0.0085 0.0036 0.0071 0.0688 0.0079 0.0096 0.0064 0.0063 0.0057 0.0065 49,678 38,541

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