Question

What is `"44.7 cm"` in nanometers?

Answer 1

`"44.7 cm"=4.47xx"10"^8 "nm"`

Explanation:

Write the equality between cm and nm.

`"1 cm"=1xx"10"^7 "nm"`

There are two conversion factors from this equality.

`"1 cm"/(1xx10^7"nm")` `color(white)(..)`and`color(white)(..)` `(1xx10^7"nm")/(1"cm")`

Multiply `"44.7 cm"` by the conversion factor that cancels cm and leaves nm.

`44.7color(red)cancel(color(black)("cm"))xx(1xx10^7"nm")/(1color(red)cancel(color(black)("cm")))=4.47xx10^8`