Convert shekel to hundredweight
Learn how to convert
1
shekel to
hundredweight
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(shekel\right)={\color{rgb(20,165,174)} x}\left(hundredweight\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(shekel\right) = {\color{rgb(89,182,91)} 1.632932532 \times 10^{-2}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 1.632932532 \times 10^{-2}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(hundredweight\right) = {\color{rgb(125,164,120)} 50.80234544\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 50.80234544\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(shekel\right)={\color{rgb(20,165,174)} x}\left(hundredweight\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.632932532 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 50.80234544}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.632932532 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 50.80234544} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.632932532 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 50.80234544} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(1.632932532 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 50.80234544\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 50.80234544 = 1.632932532 \times 10^{-2}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{50.80234544}\right)\)
\({\color{rgb(20,165,174)} x} \times 50.80234544 \times \dfrac{1.0}{50.80234544} = 1.632932532 \times 10^{-2} \times \dfrac{1.0}{50.80234544}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{50.80234544}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{50.80234544}}} = 1.632932532 \times 10^{-2} \times \dfrac{1.0}{50.80234544}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.632932532 \times 10^{-2}}{50.80234544}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0003214286\approx3.2143 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(shekel\right)\approx{\color{rgb(20,165,174)} 3.2143 \times 10^{-4}}\left(hundredweight\right)\)