Question

A computer performs a calculation in 2.5*10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 3*10^6 math problems. What operation are we using and show your work

Answer 1

length of time to solve one problem: 2.5 X10^-5

Explanation:

no. of problems/divided by the amount of time to solve one problem

= 3* 10^6/2.5x10^-5

= 3/2.5 x 10^6/10^-5

= 1.2 x 10 ^11

What operation are we using? : division

Answer 2

Answer: Time taken by computer to solve
`3*10^6` math problems = 75 seconds

The operation we are here is "Multiplication".

Explanation:

Given : Time taken by computer to solve a calculation =
`2.5*10^(-5)` seconds.

Then, the time taken by computer to solve
`3*10^6` math problems will be :-

`3*10^6*2.5*10^(-5)\\\\=3*2.5*10^6*10^(-5)\\\\\text{By using exponent rule }a^m* a^n=a^(m+n)\\\\=7.5*10^(6-5)\\\\=7.5*10=75`

Hence, time taken by computer to solve
`3*10^6` math problems = 75 seconds