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powers of 10

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powers of 10

by nicajvch » Fri May 28, 2010 4:35 am
10^8 - 10^2 - most closely approximates to which of the following?
10^7 - 10^4

a) 1
b) 10
c) 100
d) 10^3
e) 10^5
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by gmatjedi » Fri May 28, 2010 4:39 am
10^2(10^6-1) / 10^4(10^3-1)

999,999/ 999 *10^2

1001/100= ~10
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by liferocks » Fri May 28, 2010 4:40 am
10^8 - 10^2 /10^7 - 10^4 =10^2(10^6)/10^4(10^3-1) will be approx 10^3/10^2=10

And option B
we discussed this few days back but could not find the post.It had some interesting discussions.
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by Rahul@gurome » Fri May 28, 2010 4:42 am
(10^8 - 10^2) / (10^7 - 10^4) = (10^2)(10^6 - 1) / (10^4)(10^3 - 1)
= (10^6) / (10^2)(10^3) [Ignore subtracting 1 from numerator and denominator]
= 10
The correct answer should be (B).
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by m3th0d » Fri May 28, 2010 6:58 am
Rahul@gurome wrote:(10^8 - 10^2) / (10^7 - 10^4) = (10^2)(10^6 - 1) / (10^4)(10^3 - 1)
= (10^6) / (10^2)(10^3) [Ignore subtracting 1 from numerator and denominator]
= 10
The correct answer should be (B).
Really nice, the move to drop the 1 is a real time-saver!
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