Convert barony to rai
Learn how to convert
1
barony to
rai
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(barony\right)={\color{rgb(20,165,174)} x}\left(rai\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(barony\right) = {\color{rgb(89,182,91)} 16187425.6896\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 16187425.6896\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(rai\right) = {\color{rgb(125,164,120)} 1.6 \times 10^{3}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.6 \times 10^{3}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(barony\right)={\color{rgb(20,165,174)} x}\left(rai\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 16187425.6896} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 16187425.6896} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.6 \times 10^{3}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 16187425.6896} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.6 \times 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(16187425.6896 = {\color{rgb(20,165,174)} x} \times 1.6 \times 10^{3}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.6 \times 10^{3} = 16187425.6896\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.6 \times 10^{3}}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.6 \times 10^{3} \times \dfrac{1.0}{1.6 \times 10^{3}} = 16187425.6896 \times \dfrac{1.0}{1.6 \times 10^{3}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.6}} \times {\color{rgb(99,194,222)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.6}} \times {\color{rgb(99,194,222)} \cancel{10^{3}}}} = 16187425.6896 \times \dfrac{1.0}{1.6 \times 10^{3}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{16187425.6896}{1.6 \times 10^{3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 16187425.6896}{1.6}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10117.141056\approx1.0117 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(barony\right)\approx{\color{rgb(20,165,174)} 1.0117 \times 10^{4}}\left(rai\right)\)
