The value of (10^8 - 10^2)/(10^7 - 10^3)is closest to which of the following?
A) 1
B) 10
C) 10^2
D) 10^3
E) 10^4
Thanks.
A) 1
B) 10
C) 10^2
D) 10^3
E) 10^4
Thanks.
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Power Prep Exponent Questions
Source: Beat The GMAT — Problem Solving |
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Lattefah84
- Senior | Next Rank: 100 Posts
- Posts: 93
e-exponentsal2 wrote:Can you explain. I can't seem to get it.
10e8= 1, 000 000 00, 10e2= 100
(1,000 000 00 - 100) /(1,000 000 0 - 1,000)
9, 999 990 0/ 9,999000=10,00099009901 (10e2)
When I pulled out the 10^2, I got (10^6 - 1)/(10^5 - 10), which I could not manipulate to one of the answers. I guess at that point you can kind of eyeball it and see that the -1 and the 10 are insignificant, so 10^6/10^5 will give you 10. Is there a better way? Can someone explain?
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Lattefah84
- Senior | Next Rank: 100 Posts
- Posts: 93
I don't get what part of the answer is not clear... with simple math operations you can get the answer... Subtract and divide by heart and you will see that 10e2 is the closest.sal2 wrote:When I pulled out the 10^2, I got (10^6 - 1)/(10^5 - 10), which I could not manipulate to one of the answers. I guess at that point you can kind of eyeball it and see that the -1 and the 10 are insignificant, so 10^6/10^5 will give you 10. Is there a better way? Can someone explain?
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Lattefah84
- Senior | Next Rank: 100 Posts
- Posts: 93
10^2 is incorrect.
https://www.beatthegmat.com/gmat-prep-t13201.html
The answer is, in fact, B as previously stated and easily explained by Sal2.
https://www.beatthegmat.com/gmat-prep-t13201.html
The answer is, in fact, B as previously stated and easily explained by Sal2.
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Lattefah84
- Senior | Next Rank: 100 Posts
- Posts: 93
sorry, it was lapsus calami, I meant 10e1 too, but I wrote wrong exponent. From my previous post it is obviously 10e1 the result. Sorry.nittanylion530 wrote:10^2 is incorrect.
https://www.beatthegmat.com/gmat-prep-t13201.html
The answer is, in fact, B as previously stated and easily explained by Sal2.
The value of (10^8 - 10^2)/(10^7 - 10^3)is closest to which of the following?
(10^8 - 10^2)/(10^7 - 10^3) = 10^2(10^6 - 1)/10^3(10^4 - 1)
as we are interested in calculating closest value not exact value..
we can neglect 1 (10^6 - 1 is approx equal to 10 ^6)
similarly 10^4 -1
now we have,
(10^2*10^6)/(10^3*10^4) = 10^8/10^7
=10
hope this helps!!!
(10^8 - 10^2)/(10^7 - 10^3) = 10^2(10^6 - 1)/10^3(10^4 - 1)
as we are interested in calculating closest value not exact value..
we can neglect 1 (10^6 - 1 is approx equal to 10 ^6)
similarly 10^4 -1
now we have,
(10^2*10^6)/(10^3*10^4) = 10^8/10^7
=10
hope this helps!!!
