SOLUTION: How many integers are there between 6 x 10^98 and 5 x 10^100 (not counting 6 x 10^98 and 5 x 10^100 )? a 4.94 x 10^100 -1 b 4.94 x 10^99 -1 c 4.94 x 10^98 -1 d 4

Question 334191: How many integers are there between 6 x 10^98 and 5 x 10^100
(not counting 6 x 10^98 and 5 x 10^100 )?
a 4.94 x 10^100 -1
b 4.94 x 10^99 -1
c 4.94 x 10^98 -1
d 494
e 493
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First change

so that it is expressed in the same power of 10 that the other number is in.

So, reduce the exponent by 2, and move the decimal point two places right.

Now that the decimal points line up, you can just subtract the numbers:

But just subtracting two integers gives you the number of integers between them including one of the endpoints. Since you want to eliminate both endpoints, you need to subtract 1 more unit. Furthermore, you need to put the decimal point back where it belongs.

Hence:

John

My calculator said it, I believe it, that settles it

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