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*106 math problems? (standard form)

Answer 1

Given :

A computer performs a calculation in $2.5\times 10^{-5}$ seconds to solve a maths problem.

To Find :

How long does the computer need to calculate the solutions to $3\times 10^6$ maths problems.

Solution :

Time taken to perform 1 calculation is $2.5\times 10^{-5}$.

$t=2.5\times 10^{-5}\ s$

So, time taken to perform $3\times 10^6$ calculations.

$T = t\times( 3\times 10^6)\\\\T = 2.5\times 10^{-5}\times 3\times 10^6\\\\T = 75\ seconds$

Hence, this is the required solution.