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The number 0.01 is how many times as great as the number (0.0001)^2?

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The number 0.01 is how many times as great as the number (0.0001)^2?  [#permalink]

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New post 05 Jul 2018, 03:58
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

69% (00:55) correct 31% (01:06) wrong based on 50 sessions

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Re: The number 0.01 is how many times as great as the number (0.0001)^2?  [#permalink]

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New post 05 Jul 2018, 04:13
Bunuel wrote:
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) \(10^{10}\)



\((0.0001)^2=(1*10^{-4})^2=10^{-8}=10^{-2}*10^{-6}=0.01^10^{-6}\)
so \((0.0001)^2=0.01*10^{-6}.........0.01=(0.0001)^2*10^6\)

C
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Re: The number 0.01 is how many times as great as the number (0.0001)^2?  [#permalink]

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New post 05 Jul 2018, 08:30
Bunuel wrote:
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) \(10^{10}\)


We are asked to find out \(\frac{0.01}{(0.0001)^2}\)=\(\frac{10^{-2}}{(10^{-4})^2}\)=\(\frac{10^{-2}}{10^{-8}}=10^{-2+8}=10^6\)

Ans. (C)
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Re: The number 0.01 is how many times as great as the number (0.0001)^2?  [#permalink]

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New post 07 Jul 2018, 17:24
Bunuel wrote:
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) \(10^{10}\)


We can create the equation:

0.01 = (0.0001)^2 x k

0.01/[0.0001 x 0.0001] = k

(10^-2)/(10^-8) = k

10^6 = k

Answer: C
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Re: The number 0.01 is how many times as great as the number (0.0001)^2? &nbs [#permalink] 07 Jul 2018, 17:24
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