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

http://www.brainpop.com/math/numbersandoperations/exponents/preview.weml

Exponents:

Complete the following table.Stand. Form Expanded

FormExpon. Form

100,00010,0001000100101

Complete the following table.Stand. Form Expanded

FormExpon. Form

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

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,0001000100101

Complete the following table. Stand. Form Expanded

FormExpon. Form

100,000 10∙10∙10∙10∙10 105

10,000 10∙10∙10∙101000100101

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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.

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

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

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

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

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

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

18

1256

116

1125-

1 1