Convert myriagram to scruple
Learn how to convert
1
myriagram to
scruple
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(myriagram\right)={\color{rgb(20,165,174)} x}\left(scruple\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(myriagram\right) = {\color{rgb(89,182,91)} 10.0\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 10.0\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(scruple\right) = {\color{rgb(125,164,120)} 0.0012959782\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 0.0012959782\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(myriagram\right)={\color{rgb(20,165,174)} x}\left(scruple\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10.0} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.0012959782}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10.0} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.0012959782} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10.0} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.0012959782} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(10.0 = {\color{rgb(20,165,174)} x} \times 0.0012959782\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.0012959782 = 10.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.0012959782}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.0012959782 \times \dfrac{1.0}{0.0012959782} = 10.0 \times \dfrac{1.0}{0.0012959782}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.0012959782}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.0012959782}}} = 10.0 \times \dfrac{1.0}{0.0012959782}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0}{0.0012959782}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx7716.1791765\approx7.7162 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(myriagram\right)\approx{\color{rgb(20,165,174)} 7.7162 \times 10^{3}}\left(scruple\right)\)
