Convert drop to drop

Learn how to convert 1 drop to drop step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(drop\right)={\color{rgb(20,165,174)} x}\left(drop\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(drop\right) = {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(drop\right) = {\color{rgb(125,164,120)} 8.21486932291667 \times 10^{-8}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 8.21486932291667 \times 10^{-8}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(drop\right)={\color{rgb(20,165,174)} x}\left(drop\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 8.21486932291667 \times 10^{-8}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 8.21486932291667 \times 10^{-8}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 8.21486932291667 \times 10^{-8}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(7.78866844846491 \times 10^{-8} = {\color{rgb(20,165,174)} x} \times 8.21486932291667 \times 10^{-8}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(7.78866844846491 \times {\color{rgb(255,204,153)} \cancel{10^{-8}}} = {\color{rgb(20,165,174)} x} \times 8.21486932291667 \times {\color{rgb(255,204,153)} \cancel{10^{-8}}}\)
\(\text{Simplify}\)
\(7.78866844846491 = {\color{rgb(20,165,174)} x} \times 8.21486932291667\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 8.21486932291667 = 7.78866844846491\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{8.21486932291667}\right)\)
\({\color{rgb(20,165,174)} x} \times 8.21486932291667 \times \dfrac{1.0}{8.21486932291667} = 7.78866844846491 \times \dfrac{1.0}{8.21486932291667}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{8.21486932291667}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{8.21486932291667}}} = 7.78866844846491 \times \dfrac{1.0}{8.21486932291667}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{7.78866844846491}{8.21486932291667}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.9481183622\approx9.4812 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(drop\right)\approx{\color{rgb(20,165,174)} 9.4812 \times 10^{-1}}\left(drop\right)\)

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