Convert hecto to deca
Learn how to convert
1
hecto to
deca
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(hecto\right)={\color{rgb(20,165,174)} x}\left(deca\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } hecto \text{ } is \text{ } 10^{2}\)
\(The \text{ } value \text{ } of \text{ } deca \text{ } is \text{ } 10.0\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(hecto\right)={\color{rgb(20,165,174)} x}\left(deca\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{2}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10.0}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{2}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10.0}\)
\(\text{Conversion Equation}\)
\(10^{2} = {\color{rgb(20,165,174)} x} \times 10.0\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{10}{10^{2}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10.0}}\)
\(\text{Simplify}\)
\(10.0 = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10\)
\(\text{Conversion Equation}\)
\(1.0\left(hecto\right) = {\color{rgb(20,165,174)} 10}\left(deca\right)\)
