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If 3/(10^4) = x%, then x = [#permalink]
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27 May 2016, 05:02
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If \(\frac{3}{10^4}\) = x%, then x = (A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003
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Re: If 3/(10^4) = x%, then x = [#permalink]
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27 May 2016, 05:35
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 \(\frac{3}{10^4}\) = x% \(\frac{x}{100}\) = \(\frac{3}{10000}\) x = \(\frac{3}{100}\) = 0.03Option B is correct answer.



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Re: If 3/(10^4) = x%, then x = [#permalink]
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30 Nov 2016, 13:52
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 Key Concepts: #1) We can create equivalent fractions by multiplying or dividing numerator and denominator by the same value. #2) p/100 = p%. For example, 19/100 = 19% \(\frac{3}{10^4}\) = \(\frac{3}{10000}\) Divide numerator and denominator by 100 to get: = \(\frac{0.03}{100}\) = 0.03% Answer:
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Re: If 3/(10^4) = x%, then x = [#permalink]
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30 Nov 2016, 14:07
3/(10^4) = x/100....Solve for x
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Re: If 3/(10^4) = x%, then x = [#permalink]
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12 Dec 2016, 15:31
Guys, I'm really confused and here is the origin of my confusion OG Thought: X%= (x/100) or 19%= (19/100) My thought: X%= (x/ 100) * 100 or 19%= (19/100) * 100 or 19%= .19 * 100 or otherwords, 19/100 doesn't equal 19%, but rather .19. Only when you multiply .19 by 100 does it equal 19% I swear I'm not trying to be stubborn, maybe my definitional perspective of the question statement if off Please help!



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Re: If 3/(10^4) = x%, then x = [#permalink]
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13 Dec 2016, 01:51
SonofaSaracen wrote: Guys, I'm really confused and here is the origin of my confusion OG Thought: X%= (x/100) or 19%= (19/100) My thought: X%= (x/ 100) * 100 or 19%= (19/100) * 100 or 19%= .19 * 100 or otherwords, 19/100 doesn't equal 19%, but rather .19. Only when you multiply .19 by 100 does it equal 19% I swear I'm not trying to be stubborn, maybe my definitional perspective of the question statement if off Please help! OG is right. A percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred"). It is often denoted using the percent sign, "%", or the abbreviation "pct". Since a percent is an amount per 100, percents can be represented as fractions with a denominator of 100. For example, 25% means 25 per 100, 25/100 and 350% means 350 per 100, 350/100. Check Percents chapter here: mathnumbertheory88376.html
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Re: If 3/(10^4) = x%, then x = [#permalink]
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13 Dec 2016, 02:50
By definition itself, percentage is nothing but amount in each hundred. i.e. 20% mean 20/100 = 0.2 In the equation, 3/10^4 = 0.0003 which is X%. Let's back calculate as I mentioned. What value of X will the equation will give 0.0003.
X% = 0.0003, i.e. X = 0.03. Answer is B.



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Re: If 3/(10^4) = x%, then x = [#permalink]
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23 Aug 2017, 18:13
The key concept for this question is direction of moving decimal places.
Take the numerator 3. , and move the decimal place four places to the left, for you are dividing by 10^4, meaning the numerator will become small by 4 places, which is the number in the exponent.
After moving the decimal four places left, you get 3.0 > 0.0003
Now, with 0.0003 you move the decimal two places to the right, because you are multiplying by 100 (i.e. the percent) Since you are multiplying a decimal by a whole number, the value of the decimal becomes larger, hence, 0.0003 x 100  move decimal two to right > 0.03 = x
Therefore, the answer is (B) 0.03



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If 3/(10^4) = x%, then x = [#permalink]
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23 Aug 2017, 18:41
nalinnair wrote: If \(\frac{3}{10^4}\) = x%, then x =
(A) 0.3 (B) 0.03 (C) 0.003 (D) 0.0003 (E) 0.00003 \(\frac{3}{10^4}\) = \(\frac{x}{100}\) \(3 * 10^2 = x * 10^4\) \(\frac{3 * 10^2}{10^4} = x\) \(3 * (10^{24}) = x\) \(3 * 10^{2} = x\) \(.03 = x\) Answer B
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