$3.44×10^8$ 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)

3.44×10^83.44×10^8 inches are equal to how many miles?