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Negative and Zero ExponentsUnit 1Lesson 5
From: http://www.ih.k12.oh.us/MSDunlap/PreAlgebra/Negative%20Exponents.ppt#256,1,Negative Exponents
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http://www.brainpop.com/math/numbersandoperations/exponents/preview.weml
Exponents:
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Complete the following table.Stand. Form Expanded
FormExpon. Form
100,00010,0001000100101
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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](https://reader034.vdocuments.us/reader034/viewer/2022050720/5a4d1b577f8b9ab0599a9cc2/html5/thumbnails/5.jpg)
Complete the following table. Stand. Form Expanded
FormExpon. Form
100,000 10∙10∙10∙10∙10 105
10,0001000100101
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Complete the following table. Stand. Form Expanded
FormExpon. Form
100,000 10∙10∙10∙10∙10 105
10,000 10∙10∙10∙101000100101
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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
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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
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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
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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
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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](https://reader034.vdocuments.us/reader034/viewer/2022050720/5a4d1b577f8b9ab0599a9cc2/html5/thumbnails/12.jpg)
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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](https://reader034.vdocuments.us/reader034/viewer/2022050720/5a4d1b577f8b9ab0599a9cc2/html5/thumbnails/23.jpg)
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
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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](https://reader034.vdocuments.us/reader034/viewer/2022050720/5a4d1b577f8b9ab0599a9cc2/html5/thumbnails/25.jpg)
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.
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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.
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Evaluate.1) 2-3 = 2) 4-4 =
3) (-2)-4 = 4) (-5)-3 =
5) 80 = 6) (-4)0 =
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Evaluate.1) 2-3 = 2) 4-4 =
3) (-2)-4 = 4) (-5)-3 =
5) 80 = 6) (-4)0 =
18
1256
116
1125-
1 1