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03 Mar 2016, 18:25
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C
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Difficulty:
15%
(low)
Question Stats:
74% (00:51) correct
26%
(00:44)
wrong
based on 145
sessions
History
Date
Time
Result
Not Attempted Yet
9^9 - 9^2 is approximation of which of the following?
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
* A solution will be posted in two days.
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
* A solution will be posted in two days.
03 Mar 2016, 20:00
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Bookmarks
MathRevolution
9^9 - 9^2 is approximation of which of the following?
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
* A solution will be posted in two days.
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
* A solution will be posted in two days.
It can be straight way seen from the equation that 9^9 is much higher than 9^2 and addition or subtraction of 9^2 from 9^9 will not make much difference..
so \(9^9 - 9^2\) should be nearly equal to C\(9^9\)..
Other way would be factorization..
\(9^9 - 9^2=9^2(9^7-1)..\) ..
1 is way too small quantity in comparison to 9^7..
so (9^7-1)=9^7..
so \(9^9 - 9^2=9^2(9^7-1)=9^2*9^7=9^9\\
ans C..\)
06 Mar 2016, 03:51
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9^9 - 9^2 is approximation of which of the following?
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
=> Since 9^2 is a small number compared to 9^9, it can be disregarded. Thus, 9^9-9^2=9^9 is derived and the answer is C.
A. 9^7
B. 9^8
C. 9^9
D. 9^11
E. 9^10
=> Since 9^2 is a small number compared to 9^9, it can be disregarded. Thus, 9^9-9^2=9^9 is derived and the answer is C.
