Convert qian(市钱) to mic

Learn how to convert 1 qian(市钱) to mic step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(qian(市钱)\right)={\color{rgb(20,165,174)} x}\left(mic\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(qian(市钱)\right) = {\color{rgb(89,182,91)} 5.0 \times 10^{-3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 5.0 \times 10^{-3}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(mic\right) = {\color{rgb(125,164,120)} 10^{-9}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 10^{-9}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(qian(市钱)\right)={\color{rgb(20,165,174)} x}\left(mic\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-9}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 5.0 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-9}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-9}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(5.0 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 10^{-9}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(5.0 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{10^{-6}}{10^{-9}}}\)
\(\text{Simplify}\)
\(5.0 = {\color{rgb(20,165,174)} x} \times 10^{-6}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-6} = 5.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-6}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-6} \times \dfrac{1.0}{10^{-6}} = 5.0 \times \dfrac{1.0}{10^{-6}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-6}}}} = 5.0 \times \dfrac{1.0}{10^{-6}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{5.0}{10^{-6}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-6}}\text{ can be rewritten to }10^{6}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{6} \times 5.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 5000000 = 5 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(qian(市钱)\right) = {\color{rgb(20,165,174)} 5 \times 10^{6}}\left(mic\right)\)

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