[Math Revolution GMAT math practice question]
(0.0004)(0.000005)/200,000 is equal to which of the following?
A. 10^-15
B. 10^-14
C. 10^-13
D. 10^-12
E. 10^-11
(0.0004)(0.000005)/200,000 is equal to which of the followin
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- Max@Math Revolution
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Last edited by Max@Math Revolution on Mon Dec 24, 2018 6:39 am, edited 1 time in total.
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$$? = {{4 \cdot {{10}^{ - 4}} \cdot 5 \cdot {{10}^{ - 6}}} \over {2 \cdot {{10}^5}}} = 10 \cdot {10^{ - 15}} = {10^{ - 14}}$$Max@Math Revolution wrote: (0.0004)(0.000005)/200,000 is equal to which of the following?
A. 10^-15
B. 10^-14
C. 10^-13
D. 10^-12
E. 10^-11
This solution follows the notations and rationale taught in the GMATH method.
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I believe that the answer choices should appear as shown below:
(4 * 10¯�)(5 * 10¯�) / (20 * 10�) = 10¯¹�/10� = 10¯¹�.
The correct answer is B.
The blue values below cancel out, leaving only the red values:Max@Math Revolution wrote:[Math Revolution GMAT math practice question]
(0.0004)(0.000005)/200,000 is equal to which of the following?
A. 10^-15
B. 10^-14
C. 10^-13
D. 10^-12
E. 10^-11
(4 * 10¯�)(5 * 10¯�) / (20 * 10�) = 10¯¹�/10� = 10¯¹�.
The correct answer is B.
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- Max@Math Revolution
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=>
(0.0004)(0.000005)/200,000
= {4*5*(0.0001)(0.000001)}/{2*100,000}
= (2*10^1*10^-4*10^-6)/ (2*10^5)
= (10^-9)/(10^5) = 10^-14
Therefore, the answer is B.
Answer: B
(0.0004)(0.000005)/200,000
= {4*5*(0.0001)(0.000001)}/{2*100,000}
= (2*10^1*10^-4*10^-6)/ (2*10^5)
= (10^-9)/(10^5) = 10^-14
Therefore, the answer is B.
Answer: B
Last edited by Max@Math Revolution on Mon Dec 24, 2018 1:09 pm, edited 1 time in total.
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- fskilnik@GMATH
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Hi, Max!Max@Math Revolution wrote:=>
(0.0004)(0.000005)/200,000
= {4*5*(0.0001)(0.000001)}/{2*100,000}
= (2*10^1*10^-4*10^-6)/ (2*10^5)
= (10^-9)/(10^-5) = 10^-4
Therefore, the answer is B.
Answer: B
You certainly mean:
= (10^-9)/(10^5) = 10^-14
Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
English-speakers :: https://www.gmath.net
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- Max@Math Revolution
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You are right. The solution and choices are fixed.fskilnik@GMATH wrote:Hi, Max!Max@Math Revolution wrote:=>
(0.0004)(0.000005)/200,000
= {4*5*(0.0001)(0.000001)}/{2*100,000}
= (2*10^1*10^-4*10^-6)/ (2*10^5)
= (10^-9)/(10^-5) = 10^-4
Therefore, the answer is B.
Answer: B
You certainly mean:
= (10^-9)/(10^5) = 10^-14
Regards,
Fabio.
Thank you for your comments.
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Using scientific notation, we have:Max@Math Revolution wrote:[Math Revolution GMAT math practice question]
(0.0004)(0.000005)/200,000 is equal to which of the following?
A. 10^-15
B. 10^-14
C. 10^-13
D. 10^-12
E. 10^-11
(4 x 10^-4)(5 x 10^-6)/(2 x 10^5)
(2 x 10^-4)(5 x 10^-6)/10^5
(10^1 x 10^-10)/10^5
10^-9/10^5 = 10^-14
Answer: B
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