Convert yotta to zetta
Learn how to convert
1
yotta to
zetta
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(yotta\right)={\color{rgb(20,165,174)} x}\left(zetta\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } yotta \text{ } is \text{ } 10^{24}\)
\(The \text{ } value \text{ } of \text{ } zetta \text{ } is \text{ } 10^{21}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(yotta\right)={\color{rgb(20,165,174)} x}\left(zetta\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{24}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{21}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{24}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{21}}\)
\(\text{Conversion Equation}\)
\(10^{24} = {\color{rgb(20,165,174)} x} \times 10^{21}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{10^{3}}{10^{24}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{21}}}\)
\(\text{Simplify}\)
\(10^{3} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10^{3}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1000 = 1 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(yotta\right) = {\color{rgb(20,165,174)} 1 \times 10^{3}}\left(zetta\right)\)
