Convert mile to caliber
Learn how to convert
1
mile to
caliber
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(caliber\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(mile\right) = {\color{rgb(89,182,91)} 1609.344\left(meter\right)} = {\color{rgb(89,182,91)} 1609.344\left(m\right)}\)
\(\text{Right side: 1.0 } \left(caliber\right) = {\color{rgb(125,164,120)} 2.54 \times 10^{-4}\left(meter\right)} = {\color{rgb(125,164,120)} 2.54 \times 10^{-4}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(caliber\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1609.344} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.54 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1609.344} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.54 \times 10^{-4}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1609.344} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.54 \times 10^{-4}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(1609.344 = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-4}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-4} = 1609.344\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.54 \times 10^{-4}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-4} \times \dfrac{1.0}{2.54 \times 10^{-4}} = 1609.344 \times \dfrac{1.0}{2.54 \times 10^{-4}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}}} = 1609.344 \times \dfrac{1.0}{2.54 \times 10^{-4}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1609.344}{2.54 \times 10^{-4}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-4}}\text{ can be rewritten to }10^{4}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{4} \times 1609.344}{2.54}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 6336000 = 6.336 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(mile\right) = {\color{rgb(20,165,174)} 6.336 \times 10^{6}}\left(caliber\right)\)
