Convert hao(毫) to meile
Learn how to convert
1
hao(毫) to
meile
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(hao(毫)\right)={\color{rgb(20,165,174)} x}\left(meile\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(hao(毫)\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{3.0 \times 10^{4}}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{3.0 \times 10^{4}}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(meile\right) = {\color{rgb(125,164,120)} 7532.568\left(meter\right)} = {\color{rgb(125,164,120)} 7532.568\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(hao(毫)\right)={\color{rgb(20,165,174)} x}\left(meile\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.0 \times 10^{4}}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7532.568}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{3.0 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7532.568} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.0 \times 10^{4}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7532.568} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{3.0 \times 10^{4}} = {\color{rgb(20,165,174)} x} \times 7532.568\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7532.568 = \dfrac{1.0}{3.0 \times 10^{4}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7532.568}\right)\)
\({\color{rgb(20,165,174)} x} \times 7532.568 \times \dfrac{1.0}{7532.568} = \dfrac{1.0}{3.0 \times 10^{4}} \times \dfrac{1.0}{7532.568}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7532.568}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7532.568}}} = \dfrac{1.0 \times 1.0}{3.0 \times 10^{4} \times 7532.568}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{3.0 \times 10^{4} \times 7532.568}\)
Rewrite equation
\(\dfrac{1.0}{10^{4}}\text{ can be rewritten to }10^{-4}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-4}}{3.0 \times 7532.568}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000000044\approx4.4252 \times 10^{-9}\)
\(\text{Conversion Equation}\)
\(1.0\left(hao(毫)\right)\approx{\color{rgb(20,165,174)} 4.4252 \times 10^{-9}}\left(meile\right)\)
