Convert giga to yotta
Learn how to convert
1
giga to
yotta
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(giga\right)={\color{rgb(20,165,174)} x}\left(yotta\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } giga \text{ } is \text{ } 10^{9}\)
\(The \text{ } value \text{ } of \text{ } yotta \text{ } is \text{ } 10^{24}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(giga\right)={\color{rgb(20,165,174)} x}\left(yotta\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{9}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{24}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{9}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{24}}\)
\(\text{Conversion Equation}\)
\(10^{9} = {\color{rgb(20,165,174)} x} \times 10^{24}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{10^{9}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{10^{15}}{10^{24}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 10^{15}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{15} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{15}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{15} \times \dfrac{1.0}{10^{15}} = \times \dfrac{1.0}{10^{15}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{15}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{15}}}} = \dfrac{1.0}{10^{15}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{10^{15}}\)
Rewrite equation
\(\dfrac{1.0}{10^{15}}\text{ can be rewritten to }10^{-15}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{-15}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{-15}\)
\(\text{Conversion Equation}\)
\(1.0\left(giga\right) = {\color{rgb(20,165,174)} 10^{-15}}\left(yotta\right)\)
