how many arithmetic operations can the computer perform in 4 hours?

Question

a computer can do an arithmetic operation in 5*10^-7 seconds. how many arithmetic operations can the computer perform in 4 hours? choose on of the following (a) 4.80 * 10^8 operations (b) 7.20 * 10^9 operations (c) 2.88 *10^10 operations (d) 1.44 * 10^11 operations (e) 9.60 * 10 ^9 operations

Answer 1

One computation in 5*10^-7  seconds (0.0000005 seconds)  means that the computer can do:

1/(5 * 10 ^ -7) = 1/0.0000005 = 2 000 000 operations per second

4 Hours = 4 x 60 x 60 = 14 400 seconds.

So in 4 hours, the computer can do:

14400 x 2 000 000

= 28 800 000 000 computations

= 2.88 x 10^10

So the answer is (c), above.

 

Answer 2

2.88 x 10^10