Convert dunam to sao
Learn how to convert
1
dunam to
sao
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(dunam\right)={\color{rgb(20,165,174)} x}\left(sao\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(dunam\right) = {\color{rgb(89,182,91)} 10^{3}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 10^{3}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(sao\right) = {\color{rgb(125,164,120)} 3.6 \times 10^{2}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 3.6 \times 10^{2}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(dunam\right)={\color{rgb(20,165,174)} x}\left(sao\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.6 \times 10^{2}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.6 \times 10^{2}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.6 \times 10^{2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{3} = {\color{rgb(20,165,174)} x} \times 3.6 \times 10^{2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{10}{10^{3}}} = {\color{rgb(20,165,174)} x} \times 3.6 \times {\color{rgb(255,204,153)} \cancel{10^{2}}}\)
\(\text{Simplify}\)
\(10.0 = {\color{rgb(20,165,174)} x} \times 3.6\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.6 = 10.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.6}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.6 \times \dfrac{1.0}{3.6} = 10.0 \times \dfrac{1.0}{3.6}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.6}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.6}}} = 10.0 \times \dfrac{1.0}{3.6}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0}{3.6}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx2.7777777778\approx2.7778\)
\(\text{Conversion Equation}\)
\(1.0\left(dunam\right)\approx{\color{rgb(20,165,174)} 2.7778}\left(sao\right)\)
