Question

How do you evaluate `\frac { 5\times 10^ { - 3} } { 8\times 10^ { - 2} }`?

Answer 1

`(5xx10^(-3))/(8xx10^(-2))=6.25xx10^(-2)`

Explanation:

`(5xx10^(-3))/(8xx10^(-2))`

= `5/8xx10^(-3)/10^(-2)`

= `0.625xx10^((-3-(-2)))`

= `0.625xx10^((-3+2))`

= `0.625xx10^(-1)`

= `6.25/10xx10^(-1)`

= `6.25xx10^(-1-1)`

= `6.25xx10^(-2)`