How many miles are there in ##3.44 xx 10^8" "## inches?

##3.44xx10^8## inches is equal to ##5.43xx10^3## miles.

Problem: convert ##3.44xx10^8## inches to miles.

First determine the relationships between inches and feet, and feet and miles.

##"12 in"="1 ft"##

##"5280 ft=1 mi"##

Multiply ##3.44xx10^8## inches by ##(1 "ft")/(12"in")## to get ft.

##3.44xx10^8cancel"in"xx(1 "ft")/(12 cancel"in")=2.867xx7 "ft"##

Multiply ##2.867xx10^7"ft"xx(1"mi")/(5280 "ft")## to get mi.

##2.867xx10^7cancel"ft"xx(1 "mi")/(5280 cancel"ft")=5.43xx10^3 "mi"## (rounded to three significant figures.

You can carry out both conversions together.

##3.44xx10^8cancel"in"xx(1cancel"ft")/(12cancel"in")xx(1"mi")/(5280cancel"ft")=5.43xx10^3"mi"## (rounded to three significant figures)