A computer program in Shannon's computer carries a single mathematical operation in 1.5*10^-6 seconds. How much time would the program take to complete 2.5*10^3 mathematical operations?

Respuesta :

2.5(10^3) / 1.5(10^-6) = 2500/.0000015 = 1.67 seconds

Answer: [tex]3.75\times10^{-3}[/tex] seconds

Step-by-step explanation:

Given: Time taken by computer program in Shannon's computer carries a single mathematical operation=[tex]1.5\times10^{-6}[/tex] seconds

Time taken by computer program to carry a [tex] 2.5\times10^3[/tex] mathematical operation is given by :-

[tex]2.5\times10^3\times1.5\times10^{-6}\\\\=(2.5\times1.5)\times(10^3\times10^{-6})\\\\=3.75\times10^{3+(-6)}=3.75\times10^{3-6}\\\\=3.75\times10^{-3}[/tex]

Hence, Time taken by computer program to carry a [tex] 2.5\times10^3[/tex] mathematical operation is [tex]3.75\times10^{-3}[/tex] seconds