Convert second to century
Learn how to convert
1
second to
century
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(second\right)={\color{rgb(20,165,174)} x}\left(century\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(second\right) = {\color{rgb(89,182,91)} 1.0\left(second\right)} = {\color{rgb(89,182,91)} 1.0\left(s\right)}\)
\(\text{Right side: 1.0 } \left(century\right) = {\color{rgb(125,164,120)} 3.1536 \times 10^{9}\left(second\right)} = {\color{rgb(125,164,120)} 3.1536 \times 10^{9}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(second\right)={\color{rgb(20,165,174)} x}\left(century\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.1536 \times 10^{9}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.1536 \times 10^{9}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.1536 \times 10^{9}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{9}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{9}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{9} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.1536 \times 10^{9}}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{9} \times \dfrac{1.0}{3.1536 \times 10^{9}} = 1.0 \times \dfrac{1.0}{3.1536 \times 10^{9}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancel{10^{9}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancel{10^{9}}}} = 1.0 \times \dfrac{1.0}{3.1536 \times 10^{9}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{3.1536 \times 10^{9}}\)
Rewrite equation
\(\dfrac{1.0}{10^{9}}\text{ can be rewritten to }10^{-9}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-9}}{3.1536}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000000003\approx3.171 \times 10^{-10}\)
\(\text{Conversion Equation}\)
\(1.0\left(second\right)\approx{\color{rgb(20,165,174)} 3.171 \times 10^{-10}}\left(century\right)\)
