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(0.0004)(0.000005)/200,000 is equal to which of the followin

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(0.0004)(0.000005)/200,000 is equal to which of the followin

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[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

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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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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
$$? = {{4 \cdot {{10}^{ - 4}} \cdot 5 \cdot {{10}^{ - 6}}} \over {2 \cdot {{10}^5}}} = 10 \cdot {10^{ - 15}} = {10^{ - 14}}$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

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English-speakers :: https://www.gmath.net
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I believe that the answer choices should appear as shown below:

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
The blue values below cancel out, leaving only the red values:
(4 * 10¯⁴)(5 * 10¯⁶) / (20 * 10⁴) = 10¯¹⁰/10⁴ = 10¯¹⁴.

The correct answer is B.

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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

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Last edited by Max@Math Revolution on Mon Dec 24, 2018 1:09 pm; edited 1 time in total

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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
Hi, Max!

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

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fskilnik@GMATH wrote:
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
Hi, Max!

You certainly mean:

= (10^-9)/(10^5) = 10^-14

Regards,
Fabio.
You are right. The solution and choices are fixed.
Thank you for your comments.

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Only $149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
Email to : info@mathrevolution.com

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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
Using scientific notation, we have:

(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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