Convert ounce to mic
Learn how to convert
1
ounce to
mic
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(mic\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(ounce\right) = {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(mic\right) = {\color{rgb(125,164,120)} 10^{-9}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 10^{-9}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(mic\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-9}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-9}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.8349523125 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-9}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(2.8349523125 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 10^{-9}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(2.8349523125 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{10^{-7}}{10^{-9}}}\)
\(\text{Simplify}\)
\(2.8349523125 = {\color{rgb(20,165,174)} x} \times 10^{-7}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-7} = 2.8349523125\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-7} \times \dfrac{1.0}{10^{-7}} = 2.8349523125 \times \dfrac{1.0}{10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-7}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-7}}}} = 2.8349523125 \times \dfrac{1.0}{10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.8349523125}{10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{7} \times 2.8349523125\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 28349523.125\approx2.835 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(ounce\right)\approx{\color{rgb(20,165,174)} 2.835 \times 10^{7}}\left(mic\right)\)