Problem Solving

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.

it is B i think

its B

Can you explain. I can't seem to get it.

sal2 wrote:Can you explain. I can't seem to get it.

e-exponent


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?

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?

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.

p.s.


10e6= 1, 000 000

10e2=100

10e7=1,000 000 0


10e3= 1,000

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.

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.

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.

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!!!