Convert acre to board
Learn how to convert
1
acre to
board
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(acre\right)={\color{rgb(20,165,174)} x}\left(board\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(acre\right) = {\color{rgb(89,182,91)} 6555.0\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 6555.0\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(board\right) = {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(acre\right)={\color{rgb(20,165,174)} x}\left(board\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 6555.0} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 6555.0} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 6555.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(6555.0 = {\color{rgb(20,165,174)} x} \times 7.74192 \times 10^{-3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.74192 \times 10^{-3} = 6555.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.74192 \times 10^{-3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.74192 \times 10^{-3} \times \dfrac{1.0}{7.74192 \times 10^{-3}} = 6555.0 \times \dfrac{1.0}{7.74192 \times 10^{-3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.74192}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.74192}} \times {\color{rgb(99,194,222)} \cancel{10^{-3}}}} = 6555.0 \times \dfrac{1.0}{7.74192 \times 10^{-3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{6555.0}{7.74192 \times 10^{-3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-3}}\text{ can be rewritten to }10^{3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3} \times 6555.0}{7.74192}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx846689.19338\approx8.4669 \times 10^{5}\)
\(\text{Conversion Equation}\)
\(1.0\left(acre\right)\approx{\color{rgb(20,165,174)} 8.4669 \times 10^{5}}\left(board\right)\)
