Convert nano to hecto

Learn how to convert 1 nano to hecto step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(nano\right)={\color{rgb(20,165,174)} x}\left(hecto\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } nano \text{ } is \text{ } 10^{-9}\)
\(The \text{ } value \text{ } of \text{ } hecto \text{ } is \text{ } 10^{2}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(nano\right)={\color{rgb(20,165,174)} x}\left(hecto\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-9}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{2}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-9}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{2}}\)
\(\text{Conversion Equation}\)
\(10^{-9} = {\color{rgb(20,165,174)} x} \times 10^{2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{2} = 10^{-9}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{2} \times \dfrac{1.0}{10^{2}} = 10^{-9} \times \dfrac{1.0}{10^{2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{2}}}} = 10^{-9} \times \dfrac{1.0}{10^{2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-9}}{10^{2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{-2} \times 10^{-9}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{-11}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{-11}\)
\(\text{Conversion Equation}\)
\(1.0\left(nano\right) = {\color{rgb(20,165,174)} 10^{-11}}\left(hecto\right)\)

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