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0.06*0.014/0.007*0.003
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28 Feb 2021, 10:36
28 Feb 2021, 10:36
Expert Reply
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Question Stats:
93% (00:49) correct
6% (00:34) wrong based on 15 sessions
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\(\frac{(0.06)(0.014)}{(0.007)(0.003)}=\)
A. 400
B. 40
C. 4
D. 0.4
E. 0.04
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 400
B. 40
C. 4
D. 0.4
E. 0.04
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
0.06*0.014/0.007*0.003
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28 Feb 2021, 10:54
28 Feb 2021, 10:54
1
Though a calculator can be employed here, it will steal a highly needed portion of your precious time. Therefore, let's make use of mental math instead.
The trick of decimals multiplication that are between 0 and 1 is simple: remove all zeros to the lift of the number, then put the decimal at the correct place after you successfully completing the multiplication; this is easier illustrated than explained:
numerator = (0.06)(0.014) --> (6)(14) = (60+24) = 84 --> five decimal places --> 0.00084
denominator = (0.007)(0.003) --> (7)(3) = 21 --> six decimal places --> 0.000021
multiply both by 10^6 --> 840/21 = (10) (84/21) = 40
The answer is B.
The trick of decimals multiplication that are between 0 and 1 is simple: remove all zeros to the lift of the number, then put the decimal at the correct place after you successfully completing the multiplication; this is easier illustrated than explained:
numerator = (0.06)(0.014) --> (6)(14) = (60+24) = 84 --> five decimal places --> 0.00084
denominator = (0.007)(0.003) --> (7)(3) = 21 --> six decimal places --> 0.000021
multiply both by 10^6 --> 840/21 = (10) (84/21) = 40
The answer is B.
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0.06*0.014/0.007*0.003
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28 Feb 2021, 12:25
28 Feb 2021, 12:25
1
Carcass wrote:
\(\frac{(0.06)(0.014)}{(0.007)(0.003)}=\)
A. 400
B. 40
C. 4
D. 0.4
E. 0.04
A. 400
B. 40
C. 4
D. 0.4
E. 0.04
\(\frac{(0.06)(0.014)}{(0.007)(0.003)}\)
\(\frac{(6)(14)(1000)(1000)}{(7)(3)(100)(1000)}\)
\(\frac{(6)(14)(1000)}{(7)(3)(100)} = 40\)
Hence, option B
