Convert Olympiad to century
Learn how to convert
1
Olympiad to
century
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(Olympiad\right)={\color{rgb(20,165,174)} x}\left(century\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(Olympiad\right) = {\color{rgb(89,182,91)} 1.26144 \times 10^{8}\left(second\right)} = {\color{rgb(89,182,91)} 1.26144 \times 10^{8}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(century\right) = {\color{rgb(125,164,120)} 3.1536 \times 10^{9}\left(second\right)} = {\color{rgb(125,164,120)} 3.1536 \times 10^{9}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(Olympiad\right)={\color{rgb(20,165,174)} x}\left(century\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.26144 \times 10^{8}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.1536 \times 10^{9}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.26144 \times 10^{8}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.1536 \times 10^{9}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.26144 \times 10^{8}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.1536 \times 10^{9}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(1.26144 \times 10^{8} = {\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{9}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.26144 \times {\color{rgb(255,204,153)} \cancel{10^{8}}} = {\color{rgb(20,165,174)} x} \times 3.1536 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{9}}}\)
\(\text{Simplify}\)
\(1.26144 = {\color{rgb(20,165,174)} x} \times 3.1536 \times 10.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.1536 \times 10.0 = 1.26144\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.1536 \times 10.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.1536 \times 10.0 \times \dfrac{1.0}{3.1536 \times 10.0} = 1.26144 \times \dfrac{1.0}{3.1536 \times 10.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancel{10.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancel{10.0}}} = 1.26144 \times \dfrac{1.0}{3.1536 \times 10.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.26144}{3.1536 \times 10.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 4 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(Olympiad\right) = {\color{rgb(20,165,174)} 4 \times 10^{-2}}\left(century\right)\)
