SOLUTION: A computer can do a calculation in 4x10^-6 seconds. How long, in seconds, will it take the computer to do 8x10^12 such calculations? Give your answer in scientific notation/ standa

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: A computer can do a calculation in 4x10^-6 seconds. How long, in seconds, will it take the computer to do 8x10^12 such calculations? Give your answer in scientific notation/ standa      Log On


   



Question 1132139: A computer can do a calculation in 4x10^-6 seconds. How long, in seconds, will it take the computer to do 8x10^12 such calculations? Give your answer in scientific notation/ standard form
Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
one calculation can be done in 4 * 10^-6 seconds.
8 * 10^12 calculations * 4 * 10^-6 seconds for each calculation will take 32 * 10^6 seconds which is equal to 3.2 * 10^7 seconds in scientific notation.

the multiplication is done as follows:

8 * 10^12 * 4 * 10^-6 is equal to 8 * 4 * 10^12 * 10^-6 which is equal to 32 * 10^(12-6) which is equal to 32 * 10^6.

to convert to scientific notation, you divide 32 by 10 and you multiply 10^6 by 10 to get 3.2 * 10^7.

i confirmed with my scientific calculator that the arithmetic is correct.

3.2 * 10^7 is equal to 32 * 10^6 which is equal to 32 million (32,000,000).

here's a reference on scientific notation you might find helpful.

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut3_scinot.htm

all you are dding is multiplying the time it takes to do one calculation by the number of calculations required.









Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's an incredibly slow computer.
Maybe it's an abacus.
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Plus, I did this problem earlier today.
Doesn't hurt to get a 2nd opinion, tho.
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The doctor gave me some discouraging medical news.
I asked about a 2nd opinion, and he said, "OK - you're ugly."