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