Convert giga to hecto
Learn how to convert
1
giga to
hecto
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(giga\right)={\color{rgb(20,165,174)} x}\left(hecto\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } giga \text{ } is \text{ } 10^{9}\)
\(The \text{ } value \text{ } of \text{ } hecto \text{ } is \text{ } 10^{2}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(giga\right)={\color{rgb(20,165,174)} x}\left(hecto\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{9}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{2}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{9}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{2}}\)
\(\text{Conversion Equation}\)
\(10^{9} = {\color{rgb(20,165,174)} x} \times 10^{2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{10^{7}}{10^{9}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{2}}}\)
\(\text{Simplify}\)
\(10^{7} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10^{7}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10000000 = 1 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(giga\right) = {\color{rgb(20,165,174)} 1 \times 10^{7}}\left(hecto\right)\)
