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Powers of Ten.

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Presentation on theme: "Powers of Ten."— Presentation transcript:

1 Powers of Ten

2 Googol In year old Milton Sirotta, in conversation with his uncle, the mathematician Edward Kasner, coined the term googol for a number which has a 1 followed by 100 zeroes: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

3 106 10 10000 103 1000 101 100000 102 105 100 104

4 106 ? 100000 105 10000 104 ? 1012 1000 103 100 102 A googol ? 10 101

5 1000 103 100 102 10 101 ? ? ? ? ? ? ? ?

6 1000 103 100 102 ? 10 101 ? 10-6 1 100 0.1 10-1 0.01 10-2 0.001 10-3 0.0001 10-4

7 Standard Index Form

8 106 Million 3 Million = ? 3 x 106 100000 105 Hundred Thousand 10000
106 Million 3 Million = ? 3 x 106 100000 105 Hundred Thousand 10000 104 Ten Thousand 1000 103 Thousand 100 102 Hundred 10 101 Ten

9 106 50000 5 x 104 100000 105 300 3 x 102 10000 104 24000 2.4 x104 1000 103 7000 7 x 103 100 102 2.8 x 106 10 101 42 4.2 x 101

10 Convert these numbers into standard index form:
3000 540 712000 41 780,000,000,000 63452 762 7 x 106 3 x 103 5.4 x 102 7.12 x 105 4.1 x 101 7.8 x 1011 x 104 7.62 x 102

11 Convert these numbers into ordinary form:
3 x 105 7 x 107 4.8 x 103 5.04 x 104 6.9 x 101 7 x 102 5.62 x 101 3.4 x 100 30000 4800 50400 69 700 56.2 3.4

12 1000 103 0.003 = ? 3 x 10-3 100 102 10 101 1 100 0.1 10-1 0.01 10-2 0.001 10-3 0.0001 10-4

13 0.0005 5 x 10-4 0.1 10-1 0.3 3 x 10-1 0.01 10-2 5.7 x10-5 0.001 10-3 0.007 7 x 10-3 0.0001 10-4 10-5 2.8 x 10-6 10-6 0.042 4.2 x 10-2

14 Convert these numbers into standard index form:
0.003 0.02 0.0079 0.7 0.0063 0.038 0.43 3 x 10-3 5 x 10-5 2 x 10-2 7.9 x 10-3 7 x 10-1 6.3 x 10-3 3.8 x 10-2 4.3 x 10-1

15 Convert these numbers into ordinary form:
3 x 10-4 7 x 10-6 4.8 x 10-3 5.04 x 10-2 6.9 x 10-1 7 x 10-8 5.62 x 10-3 3.4 x 10-5 0.0003 0.0048 0.0504 0.69


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