Convert se(畝) to cho(町)
Learn how to convert
1
se(畝) to
cho(町)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(se(畝)\right)={\color{rgb(20,165,174)} x}\left(cho(町)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(se(畝)\right) = {\color{rgb(89,182,91)} \dfrac{1.2 \times 10^{4}}{121.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{1.2 \times 10^{4}}{121.0}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(cho(町)\right) = {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(se(畝)\right)={\color{rgb(20,165,174)} x}\left(cho(町)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.2 \times 10^{4}}{121.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.2 \times 10^{4}}{121.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.2 \times 10^{4}}{121.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.2 \times 10^{4}}{121.0} = {\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times 10^{6}}{121.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.2}} \times {\color{rgb(166,218,227)} \cancel{10^{4}}}}{{\color{rgb(99,194,222)} \cancel{121.0}}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.2}} \times {\color{rgb(166,218,227)} \cancelto{10^{2}}{10^{6}}}}{{\color{rgb(99,194,222)} \cancel{121.0}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 10^{2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{2} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{2} \times \dfrac{1.0}{10^{2}} = \times \dfrac{1.0}{10^{2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{2}}}} = \dfrac{1.0}{10^{2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{10^{2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{-2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(se(畝)\right) = {\color{rgb(20,165,174)} 10^{-2}}\left(cho(町)\right)\)
