#3.44×10^8# inches are equal to how many miles?

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Answer 1 · 2016-09-13T01:54:51

#3.44×10^8# inches are equal to #5.43×10^3# miles.

There are #1760# yards in a mile and each yard has 36 inches.

So, there are #1760×36=63360=6.336×10^4# inches.

Hence, in #3.44×10^8# inches, are equivalent to
#(3.44×10^8)/(6.336×10^4)# miles.

= #(34.4/6.336)×10^(7-4)#

= #5.43×10^3# miiles

Answer 2 · 2016-09-13T03:14:31

#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)