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Negative and Zero Exponents Unit 1 Lesson 5 ttp://www.ih.k12.oh.us/MSDunlap/PreAlgebra/Negative%20Exponents.ppt#256,1,Negative Exp

Negative and Zero Exponents Unit 1 Lesson 5 From: Exponents

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Complete the following table. Stand. FormExpanded Form Expon. Form 100,000 10,

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Page 1: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Negative and Zero ExponentsUnit 1Lesson 5

From: http://www.ih.k12.oh.us/MSDunlap/PreAlgebra/Negative%20Exponents.ppt#256,1,Negative Exponents

Page 3: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table.Stand. Form Expanded

FormExpon. Form

100,00010,0001000100101

Page 4: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙1010,0001000100101

Page 5: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,0001000100101

Page 6: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙101000100101

Page 7: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000100101

Page 8: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10100101

Page 9: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100101

Page 10: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10101

Page 11: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

101

Page 12: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 101

Page 13: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1

Page 14: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

Page 15: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

1101

1001

10001

10,000

Page 16: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110

1100

11000

110,000

Page 17: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

11000

110,000

Page 18: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10

11000

110,000

Page 19: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110,000

Page 20: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10

110,000

Page 21: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

Page 22: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

110∙10∙10∙10

Page 23: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Now let’s continue the pattern.Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

110∙10∙10∙10 10-4

Page 24: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

What should you learn from this?Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

110∙10∙10∙10 10-4

Page 25: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

What should you learn from this?Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

110∙10∙10∙10 10-4

1) Any number raised to the zero power is always 1.

Page 26: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

What should you learn from this?Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙10 104

1000 10∙10∙10 103

100 10∙10 102

10 10 101

1 100

110

110 10-1

1100

110∙10 10-2

11000

110∙10∙10 10-3

110,000

110∙10∙10∙10 10-4

2) A negative exponent will create a fraction.

Page 27: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Evaluate.1) 2-3 = 2) 4-4 =

3) (-2)-4 = 4) (-5)-3 =

5) 80 = 6) (-4)0 =

Page 28: Negative and Zero Exponents Unit 1 Lesson 5 From:  Exponents

Evaluate.1) 2-3 = 2) 4-4 =

3) (-2)-4 = 4) (-5)-3 =

5) 80 = 6) (-4)0 =

18

1256

116

1125-

1 1