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(105) / (102) = 103 = 1,000

(100,000) / (100) = 1,000

I would just like to add that using powers of ten is a good way to show how the exponent rules work: When you multiply numbers with like bases, you add the exponents: bx * by = b(x+y), so if you have: 103 * 102 = 105 , so

103 = 1000 (one with 3 zeros), 102 = 100 (one with 2 zeros), and 105 = 100,000 (one with 5 zeros). Multiplying by 100 can be accomplished by move the decimal point to the right 2 places.

In division (like bases remember), you subtract exponents, so (105) / (102) = (105-2) = 103 = 1000. So dividing by (102, which is 100) is the same as moving the decimal point to the left, 2 places.

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13y ago
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