Convert pound to kilogram
Learn how to convert
1
pound to
kilogram
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pound\right)={\color{rgb(20,165,174)} x}\left({\color{rgb(230,179,255)} kilo}gram\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(pound\right) = {\color{rgb(89,182,91)} 0.5\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 0.5\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(gram\right) = {\color{rgb(125,164,120)} 10^{-3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 10^{-3}\left({\color{rgb(230,179,255)} k}g\right)}\)
Define the values of the selected prefixes
\(\text{Right side: } kilo = k = {\color{rgb(204,139,6)} 10^{3}}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pound\right)={\color{rgb(20,165,174)} x}\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.5} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(204,139,6)} 10^{3}} \times {\color{rgb(125,164,120)} 10^{-3}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.5} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(204,139,6)} 10^{3}} \times {\color{rgb(125,164,120)} 10^{-3}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.5} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(204,139,6)} 10^{3}} \times {\color{rgb(125,164,120)} 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(0.5 = {\color{rgb(20,165,174)} x} \times 10^{3} \times 10^{-3}\)
\(\text{Simplify}\)
\(0.5 = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 0.5\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 5 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(pound\right) = {\color{rgb(20,165,174)} 5 \times 10^{-1}}\left({\color{rgb(230,179,255)} kilo}gram\right)\)
