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
B
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I have got B as answer as below
10^2(10^6-1) (10^2)^3) - 1
---------------- ------> ---------------- *1/10
10^3(10^4-1) (10^2)^2 - 1
Expanding as A^3-B^3 and A^2 - B^2
Gives us 10101/1010 gives 10 as answer
Hope i am right
10^2(10^6-1) (10^2)^3) - 1
---------------- ------> ---------------- *1/10
10^3(10^4-1) (10^2)^2 - 1
Expanding as A^3-B^3 and A^2 - B^2
Gives us 10101/1010 gives 10 as answer
Hope i am right
If you are subtracting a very small number from a comparatively bigger number then the resulting number is very near to the bigger number.
So your question would effectively convert into 10^8/10^7 equals to what??
and the answer to that is simple 10
B
So your question would effectively convert into 10^8/10^7 equals to what??
and the answer to that is simple 10
B
SACX
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pathaniaus
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hmm i tried solving that on my own... I got 10^2. I do not know where i am making my mistake. Could you please explain in detail?
Here is what I did. Try this...pathaniaus wrote:hmm i tried solving that on my own... I got 10^2. I do not know where i am making my mistake. Could you please explain in detail?
(10^8 - 10^2) / (10^7 - 10^3)
Factor out 10^2 on both the top and bottom of the fraction.
[ 10^2 * (10^6 - 1) ] / [ 10^2 * (10^5 - 10) ]
You can now cancel out 10^2 and you are left with...
(10^6 - 1) / (10^5 -10)
Which is basically...
10^6 / 10^5 = 10
