Convert kilo to micro
Learn how to convert
1
kilo to
micro
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(kilo\right)={\color{rgb(20,165,174)} x}\left(micro\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } kilo \text{ } is \text{ } 10^{3}\)
\(The \text{ } value \text{ } of \text{ } micro \text{ } is \text{ } 10^{-6}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(kilo\right)={\color{rgb(20,165,174)} x}\left(micro\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{3}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-6}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{3}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-6}}\)
\(\text{Conversion Equation}\)
\(10^{3} = {\color{rgb(20,165,174)} x} \times 10^{-6}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-6} = 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-6}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-6} \times \dfrac{1.0}{10^{-6}} = 10^{3} \times \dfrac{1.0}{10^{-6}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-6}}}} = 10^{3} \times \dfrac{1.0}{10^{-6}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{3}}{10^{-6}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-6}}\text{ can be rewritten to }10^{6}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{6} \times 10^{3}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{9}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1000000000 = 1 \times 10^{9}\)
\(\text{Conversion Equation}\)
\(1.0\left(kilo\right) = {\color{rgb(20,165,174)} 1 \times 10^{9}}\left(micro\right)\)
