# Convert hecto to deci

Learn how to convert 1 hecto to deci step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(hecto\right)={\color{rgb(20,165,174)} x}\left(deci\right)$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } hecto \text{ } is \text{ } 10^{2}$$
$$The \text{ } value \text{ } of \text{ } deci \text{ } is \text{ } 10^{-1}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(hecto\right)={\color{rgb(20,165,174)} x}\left(deci\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{2}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-1}}}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 10^{2}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-1}}$$
$$\text{Conversion Equation}$$
$$10^{2} = {\color{rgb(20,165,174)} x} \times 10^{-1}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{-1} = 10^{2}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{-1}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{-1} \times \dfrac{1.0}{10^{-1}} = 10^{2} \times \dfrac{1.0}{10^{-1}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-1}}}} = 10^{2} \times \dfrac{1.0}{10^{-1}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{2}}{10^{-1}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10.0 \times 10^{2}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = 10^{3}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 1000 = 1 \times 10^{3}$$
$$\text{Conversion Equation}$$
$$1.0\left(hecto\right) = {\color{rgb(20,165,174)} 1 \times 10^{3}}\left(deci\right)$$