Convert century to year
Learn how to convert
1
century to
year
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(century\right)={\color{rgb(20,165,174)} x}\left(year\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(century\right) = {\color{rgb(89,182,91)} 3.1536 \times 10^{9}\left(second\right)} = {\color{rgb(89,182,91)} 3.1536 \times 10^{9}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(year\right) = {\color{rgb(125,164,120)} 3.1536 \times 10^{7}\left(second\right)} = {\color{rgb(125,164,120)} 3.1536 \times 10^{7}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(century\right)={\color{rgb(20,165,174)} x}\left(year\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.1536 \times 10^{7}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.1536 \times 10^{7}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.1536 \times 10^{7}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(3.1536 \times 10^{9} = {\color{rgb(20,165,174)} x} \times 3.1536 \times 10^{7}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancelto{10^{2}}{10^{9}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.1536}} \times {\color{rgb(99,194,222)} \cancel{10^{7}}}\)
\(\text{Simplify}\)
\(10^{2} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10^{2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 100 = 1 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(century\right) = {\color{rgb(20,165,174)} 1 \times 10^{2}}\left(year\right)\)
