Convert ton to rin(厘)

Learn how to convert 1 ton to rin(厘) step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(ton\right)={\color{rgb(20,165,174)} x}\left(rin(厘)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(ton\right) = {\color{rgb(89,182,91)} 10^{3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 10^{3}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(rin(厘)\right) = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{4}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{4}}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ton\right)={\color{rgb(20,165,174)} x}\left(rin(厘)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{4}}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{4}}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{4}}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(10^{3} = {\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{4}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{4}} = 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{8.0 \times 10^{4}}{3.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{4}} \times \dfrac{8.0 \times 10^{4}}{3.0} = 10^{3} \times \dfrac{8.0 \times 10^{4}}{3.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{3.0}} \times {\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{4}}}}{{\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{4}}} \times {\color{rgb(255,204,153)} \cancel{3.0}}} = 10^{3} \times \dfrac{8.0 \times 10^{4}}{3.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 8.0 \times 10^{4}}{3.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx26666666.667\approx2.6667 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(ton\right)\approx{\color{rgb(20,165,174)} 2.6667 \times 10^{7}}\left(rin(厘)\right)\)

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