Convert yotta to yocto
Learn how to convert
1
yotta to
yocto
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(yotta\right)={\color{rgb(20,165,174)} x}\left(yocto\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } yotta \text{ } is \text{ } 10^{24}\)
\(The \text{ } value \text{ } of \text{ } yocto \text{ } is \text{ } 10^{-24}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(yotta\right)={\color{rgb(20,165,174)} x}\left(yocto\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{24}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-24}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{24}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-24}}\)
\(\text{Conversion Equation}\)
\(10^{24} = {\color{rgb(20,165,174)} x} \times 10^{-24}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-24} = 10^{24}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-24}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-24} \times \dfrac{1.0}{10^{-24}} = 10^{24} \times \dfrac{1.0}{10^{-24}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-24}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-24}}}} = 10^{24} \times \dfrac{1.0}{10^{-24}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{24}}{10^{-24}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-24}}\text{ can be rewritten to }10^{24}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{24} \times 10^{24}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{48}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{48}\)
\(\text{Conversion Equation}\)
\(1.0\left(yotta\right) = {\color{rgb(20,165,174)} 10^{48}}\left(yocto\right)\)
