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

Answer: Time taken by computer to solve $3\times10^6$ math problems = 75 seconds

The operation we are here is "Multiplication".

Step-by-step explanation:

Given : Time taken by computer to solve a calculation = $2.5\times10^{-5}$ seconds.

Then, the time taken by computer to solve $3\times10^6$ math problems will be :-

$3\times10^6\times2.5\times10^{-5}\\\\=3\times2.5\times10^6\times10^{-5}\\\\\text{By using exponent rule }a^m\times a^n=a^{m+n}\\\\=7.5\times10^{6-5}\\\\=7.5\times10=75$

Hence, time taken by computer to solve $3\times10^6$ math problems = 75 seconds

Answer 2

Answer:

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

Step-by-step 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