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Problem Solving (PS) | Re: The value of (10^8-10^2)/(10^7-10^3) is closest to which of

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It is not

If you multiply the denominator by 10 you get very close to the numerator. No need to do exact calculatio

999999/99990

99990X10=999900 which is only 99 less than the numerator.

gmontalvo wrote:

I've run across several variants of the followingquestion:
\(\frac{10^8 - 10^2}{10^7 - 10^3}\)

Here is the approach I want totake:
\(\frac{10^2(10^6 - 1)}{10^3(10^4 - 1)}\)

But when I cancel the numerator/demoninator what I am left with is kind ofugly.
\(\frac{999999}{99990}\)

Is there something I am missing? Is there a better way?

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