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# The number 0.01 is how many times as great as the number

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Kudos [?]: 1029 [0], given: 4636

The number 0.01 is how many times as great as the number [#permalink]  22 Mar 2018, 03:10
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Question Stats:

100% (00:20) correct 0% (00:00) wrong based on 3 sessions
The number $$0.01$$ is how many times as great as the number $$(0.0001)^2$$?

(A) $$10^2$$

(B) $$10^4$$

(C) $$10^6$$

(D) $$10^8$$

(E) $$10^{10}$$
[Reveal] Spoiler: OA

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Joined: 15 Jan 2018
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Kudos [?]: 174 [1] , given: 0

Re: The number 0.01 is how many times as great as the number [#permalink]  29 Mar 2018, 18:32
1
KUDOS
Notice the answer choices are given in terms of powers of 10. This is a hint that perhaps we should do that to the question. If we do so, we would change .01 to 10^-2, and .0001 to 10^-4. Since .0001 is squared, we should also square 10^-4, and (10^-4)^2 can be simplified as 10^-8, since exponents with exponents in parenthesis should be multiplied. At this point we have:

10^-2
10^-8

If we multiply both the numerator and denominator by 10^8, we'll have

10^6
1

So we know the numerator is a million times bigger than the denominator, giving us answer choice C.
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Re: The number 0.01 is how many times as great as the number   [#permalink] 29 Mar 2018, 18:32
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