# Convert becquerel to rutherford

Learn how to convert 1 becquerel to rutherford step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(becquerel\right)={\color{rgb(20,165,174)} x}\left(rutherford\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(becquerel\right)$$
$$\text{Left side: 1.0 } \left(becquerel\right) = {\color{rgb(89,182,91)} 1.0\left(becquerel\right)} = {\color{rgb(89,182,91)} 1.0\left(Bq\right)}$$
$$\text{Right side: 1.0 } \left(rutherford\right) = {\color{rgb(125,164,120)} 10^{6}\left(becquerel\right)} = {\color{rgb(125,164,120)} 10^{6}\left(Bq\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(becquerel\right)={\color{rgb(20,165,174)} x}\left(rutherford\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(becquerel\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{6}}} \times {\color{rgb(125,164,120)} \left(becquerel\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(Bq\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{6}} \cdot {\color{rgb(125,164,120)} \left(Bq\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(Bq\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{6}} \times {\color{rgb(125,164,120)} \cancel{\left(Bq\right)}}$$
$$\text{Conversion Equation}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 10^{6}$$
$$\text{Simplify}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 10^{6}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{6} = 1.0$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{6}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{6} \times \dfrac{1.0}{10^{6}} = 1.0 \times \dfrac{1.0}{10^{6}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{6}}}} = 1.0 \times \dfrac{1.0}{10^{6}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.0}{10^{6}}$$
Rewrite equation
$$\dfrac{1.0}{10^{6}}\text{ can be rewritten to }10^{-6}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10^{-6}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 10^{-6}$$
$$\text{Conversion Equation}$$
$$1.0\left(becquerel\right) = {\color{rgb(20,165,174)} 10^{-6}}\left(rutherford\right)$$