Convert rin(厘) to tenth meter
Learn how to convert
1
rin(厘) to
tenth meter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(rin(厘)\right)={\color{rgb(20,165,174)} x}\left(tenth \text{ } meter\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(rin(厘)\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(tenth \text{ } meter\right) = {\color{rgb(125,164,120)} 10^{-10}\left(meter\right)} = {\color{rgb(125,164,120)} 10^{-10}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(rin(厘)\right)={\color{rgb(20,165,174)} x}\left(tenth \text{ } meter\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-10}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-10}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-10}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{3.3 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times 10^{-10}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-10} = \dfrac{1.0}{3.3 \times 10^{3}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-10}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-10} \times \dfrac{1.0}{10^{-10}} = \dfrac{1.0}{3.3 \times 10^{3}} \times \dfrac{1.0}{10^{-10}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-10}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-10}}}} = \dfrac{1.0 \times 1.0}{3.3 \times {\color{rgb(255,204,153)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancelto{10^{-7}}{10^{-10}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{3.3 \times 10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{7}}{3.3}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx3030303.0303\approx3.0303 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(rin(厘)\right)\approx{\color{rgb(20,165,174)} 3.0303 \times 10^{6}}\left(tenth \text{ } meter\right)\)
