SOLUTION: How many 9’s are used when 10^99 – 99 is written as a natural number? A)97 B)98 c)96 D)99 E)95

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Question 317486: How many 9’s are used when 10^99 – 99 is written as a natural number?
A)97 B)98 c)96 D)99 E)95
Answer by Edwin McCravy(20056) About Me  (Show Source):
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How many 9’s are used when 10^99 – 99 is written as a natural number?

1000000000000000000000000000···00000000000000000000000000
-                                                      99
---------------------------------------------------------
 999999999999999999999999999···99999999999999999999999901

There are 99 0's on the top line, so there are 99 digits
on the bottom line, and the two digits on the end of the
bottom line are not 9's, so there are 97 9's in all on
the bottom line.  Choice A)

Edwin