Convert arpent to hundred
Learn how to convert
1
arpent to
hundred
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(arpent\right)={\color{rgb(20,165,174)} x}\left(hundred\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(arpent\right) = {\color{rgb(89,182,91)} 3418.74\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 3418.74\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(hundred\right) = {\color{rgb(125,164,120)} 5.0 \times 10^{7}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 5.0 \times 10^{7}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(arpent\right)={\color{rgb(20,165,174)} x}\left(hundred\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3418.74} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.0 \times 10^{7}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3418.74} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.0 \times 10^{7}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3418.74} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.0 \times 10^{7}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(3418.74 = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{7}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{7} = 3418.74\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.0 \times 10^{7}}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{7} \times \dfrac{1.0}{5.0 \times 10^{7}} = 3418.74 \times \dfrac{1.0}{5.0 \times 10^{7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{7}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{7}}}} = 3418.74 \times \dfrac{1.0}{5.0 \times 10^{7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3418.74}{5.0 \times 10^{7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{7}}\text{ can be rewritten to }10^{-7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-7} \times 3418.74}{5.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.0000683748\approx6.8375 \times 10^{-5}\)
\(\text{Conversion Equation}\)
\(1.0\left(arpent\right)\approx{\color{rgb(20,165,174)} 6.8375 \times 10^{-5}}\left(hundred\right)\)
