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

Sep 13, 2016

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

#### Explanation:

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

Sep 13, 2016

$3.44 \times {10}^{8}$ inches is equal to $5.43 \times {10}^{3}$ miles.

#### Explanation:

Problem: convert $3.44 \times {10}^{8}$ inches to miles.

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

$\text{12 in"="1 ft}$

$\text{5280 ft=1 mi}$

Multiply $3.44 \times {10}^{8}$ inches by $\left(1 \text{ft")/(12"in}\right)$ to get ft.

$3.44 \times {10}^{8} \cancel{\text{in"xx(1 "ft")/(12 cancel"in")=2.867xx7 "ft}}$

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

$2.867 \times {10}^{7} \cancel{\text{ft"xx(1 "mi")/(5280 cancel"ft")=5.43xx10^3 "mi}}$ (rounded to three significant figures.

You can carry out both conversions together.

$3.44 \times {10}^{8} \cancel{\text{in"xx(1cancel"ft")/(12cancel"in")xx(1"mi")/(5280cancel"ft")=5.43xx10^3"mi}}$ (rounded to three significant figures)