Convert square chain to shed
Learn how to convert
1
square chain to
shed
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(square \text{ } chain\right)={\color{rgb(20,165,174)} x}\left(shed\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(square \text{ } chain\right) = {\color{rgb(89,182,91)} 4.0 \times 10^{2}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 4.0 \times 10^{2}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(shed\right) = {\color{rgb(125,164,120)} 10^{-52}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-52}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(square \text{ } chain\right)={\color{rgb(20,165,174)} x}\left(shed\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.0 \times 10^{2}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-52}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.0 \times 10^{2}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-52}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.0 \times 10^{2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-52}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(4.0 \times 10^{2} = {\color{rgb(20,165,174)} x} \times 10^{-52}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-52} = 4.0 \times 10^{2}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-52}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-52} \times \dfrac{1.0}{10^{-52}} = 4.0 \times 10^{2} \times \dfrac{1.0}{10^{-52}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-52}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-52}}}} = 4.0 \times 10^{2} \times \dfrac{1.0}{10^{-52}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4.0 \times 10^{2}}{10^{-52}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-52}}\text{ can be rewritten to }10^{52}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{52} \times 4.0 \times 10^{2}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{54} \times 4.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 4 \times 10^{54}\)
\(\text{Conversion Equation}\)
\(1.0\left(square \text{ } chain\right) = {\color{rgb(20,165,174)} 4 \times 10^{54}}\left(shed\right)\)
