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Exponent problem.

Expert replies
by ManSab » Sun May 17, 2009 12:37 pm
value of 10^8-10^2 / 10^7 - 10 ^3 = ?
1
10
10^2
10^3
10^4

Please answer with explanation.

OA : B
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Source: — Problem Solving |

by m&m » Sun May 17, 2009 1:03 pm
10^8-10^2
------------------
10^7 - 10 ^3


10^2(10^6-1)
------------------
10^3( 10^4 - 1)

10^6-1
------------------
10* 10^4 - 10*1

10^6-1
------------------
10^5 - 10

~ 10^6
------------------
10^5

~10
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Re: Exponent problem.

by iamcste » Sun May 17, 2009 1:20 pm
ManSab wrote:value of 10^8-10^2 / 10^7 - 10 ^3 = ?
1
10
10^2
10^3
10^4

Please answer with explanation.

OA : B

Key is to realize that it hardly matters when you remove 100 or 1000 from a number as high as 10^8 or 10^7

I would just consider problem as (10^8/10^7)=10

I think trick is many would just try to find rule of exponents would simplify the problem!

B
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by ManSab » Sun May 17, 2009 1:30 pm
Thanks m&m and iamcste.

iamcste - You are absolutely right,, I was trying to solve it using exponent rules and got caught on the wrong foot. :(
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by tdadic84 » Mon May 18, 2009 6:50 am
the way i did it...

10^8 - 10^2/10^7-10^3 = 10 - 10^-1 = 10 - 1/10 = approx 10....

and i think the original question says what is the approximate value...
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