# Convert mile to point

Learn how to convert 1 mile to point step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(point\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(mile\right) = {\color{rgb(89,182,91)} 7532.0\left(meter\right)} = {\color{rgb(89,182,91)} 7532.0\left(m\right)}$$
$$\text{Right side: 1.0 } \left(point\right) = {\color{rgb(125,164,120)} 2.54 \times 10^{-5}\left(meter\right)} = {\color{rgb(125,164,120)} 2.54 \times 10^{-5}\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(point\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 7532.0} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.54 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 7532.0} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.54 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 7532.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.54 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$7532.0 = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-5}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-5} = 7532.0$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{2.54 \times 10^{-5}}\right)$$
$${\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-5} \times \dfrac{1.0}{2.54 \times 10^{-5}} = 7532.0 \times \dfrac{1.0}{2.54 \times 10^{-5}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}}} = 7532.0 \times \dfrac{1.0}{2.54 \times 10^{-5}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{7532.0}{2.54 \times 10^{-5}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-5}}\text{ can be rewritten to }10^{5}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{5} \times 7532.0}{2.54}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx296535433.07\approx2.9654 \times 10^{8}$$
$$\text{Conversion Equation}$$
$$1.0\left(mile\right)\approx{\color{rgb(20,165,174)} 2.9654 \times 10^{8}}\left(point\right)$$