# Convert yocto to kilo

Learn how to convert 1 yocto to kilo step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(yocto\right)={\color{rgb(20,165,174)} x}\left(kilo\right)$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } yocto \text{ } is \text{ } 10^{-24}$$
$$The \text{ } value \text{ } of \text{ } kilo \text{ } is \text{ } 10^{3}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(yocto\right)={\color{rgb(20,165,174)} x}\left(kilo\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{-24}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{3}}}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 10^{-24}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{3}}$$
$$\text{Conversion Equation}$$
$$10^{-24} = {\color{rgb(20,165,174)} x} \times 10^{3}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{3} = 10^{-24}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{3}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{3} \times \dfrac{1.0}{10^{3}} = 10^{-24} \times \dfrac{1.0}{10^{3}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{3}}}} = 10^{-24} \times \dfrac{1.0}{10^{3}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-24}}{10^{3}}$$
Rewrite equation
$$\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10^{-3} \times 10^{-24}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = 10^{-27}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 10^{-27}$$
$$\text{Conversion Equation}$$
$$1.0\left(yocto\right) = {\color{rgb(20,165,174)} 10^{-27}}\left(kilo\right)$$

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