Convert light-year to hu(忽)
Learn how to convert
1
light-year to
hu(忽)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(light-year\right)={\color{rgb(20,165,174)} x}\left(hu(忽)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(light-year\right) = {\color{rgb(89,182,91)} 9.4607304725808 \times 10^{15}\left(meter\right)} = {\color{rgb(89,182,91)} 9.4607304725808 \times 10^{15}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(hu(忽)\right) = {\color{rgb(125,164,120)} 10^{-6}\left(meter\right)} = {\color{rgb(125,164,120)} 10^{-6}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(light-year\right)={\color{rgb(20,165,174)} x}\left(hu(忽)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 9.4607304725808 \times 10^{15}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-6}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 9.4607304725808 \times 10^{15}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-6}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 9.4607304725808 \times 10^{15}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-6}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(9.4607304725808 \times 10^{15} = {\color{rgb(20,165,174)} x} \times 10^{-6}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-6} = 9.4607304725808 \times 10^{15}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-6}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-6} \times \dfrac{1.0}{10^{-6}} = 9.4607304725808 \times 10^{15} \times \dfrac{1.0}{10^{-6}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-6}}}} = 9.4607304725808 \times 10^{15} \times \dfrac{1.0}{10^{-6}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.4607304725808 \times 10^{15}}{10^{-6}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-6}}\text{ can be rewritten to }10^{6}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{6} \times 9.4607304725808 \times 10^{15}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{21} \times 9.4607304725808\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx9.4607304726 \times 10^{21}\approx9.4607 \times 10^{21}\)
\(\text{Conversion Equation}\)
\(1.0\left(light-year\right)\approx{\color{rgb(20,165,174)} 9.4607 \times 10^{21}}\left(hu(忽)\right)\)
