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

RELATED QUESTIONS

A computer can do one calculation in 1.4 X 10^-7 seconds. How long would it take the... (answered by stanbon)
If a computer can perform a calculation in 0.0000000008 seconds, how long will it take to (answered by josgarithmetic)
Solve: A computer can do one calculation in 1.4 x 10-7 seconds. How long would it take... (answered by Edwin McCravy)
If a computer can do a calculation in 0.000004 ​second, how​ long, in​... (answered by MathLover1,Alan3354)
A certain computer can do a simple computation in 10–7 seconds. Express how long it... (answered by Alan3354,ikleyn)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at (answered by richwmiller)
A computer can execute one addition in 1.4 x 10^-7 seconds. How long would it take the... (answered by stanbon)
A certain computer does one calculation in 6 * 10^-7 second. How long does this computer... (answered by robertb)
A computer can scan 1,150 words for errors in 8 seconds. How many seconds would it take... (answered by richwmiller)