Convert crith to sheet
Learn how to convert
1
crith to
sheet
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(crith\right)={\color{rgb(20,165,174)} x}\left(sheet\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(crith\right) = {\color{rgb(89,182,91)} 9.0 \times 10^{-5}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 9.0 \times 10^{-5}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(sheet\right) = {\color{rgb(125,164,120)} 6.479891 \times 10^{-4}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 6.479891 \times 10^{-4}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(crith\right)={\color{rgb(20,165,174)} x}\left(sheet\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 9.0 \times 10^{-5}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.479891 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 9.0 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.479891 \times 10^{-4}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 9.0 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.479891 \times 10^{-4}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(9.0 \times 10^{-5} = {\color{rgb(20,165,174)} x} \times 6.479891 \times 10^{-4}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(9.0 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-5}}} = {\color{rgb(20,165,174)} x} \times 6.479891 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}}\)
\(\text{Simplify}\)
\(9.0 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 6.479891\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.479891 = 9.0 \times 10^{-1}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.479891}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.479891 \times \dfrac{1.0}{6.479891} = 9.0 \times 10^{-1} \times \dfrac{1.0}{6.479891}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.479891}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.479891}}} = 9.0 \times 10^{-1} \times \dfrac{1.0}{6.479891}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.0 \times 10^{-1}}{6.479891}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.1388912252\approx1.3889 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(crith\right)\approx{\color{rgb(20,165,174)} 1.3889 \times 10^{-1}}\left(sheet\right)\)
