What is #"44.7 cm"# in nanometers?

1 Answer
Sep 9, 2017

#"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#