Convert century to score
Learn how to convert
1
century to
score
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(century\right)={\color{rgb(20,165,174)} x}\left(score\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(century\right) = {\color{rgb(89,182,91)} 3.1536 \times 10^{9}\left(second\right)} = {\color{rgb(89,182,91)} 3.1536 \times 10^{9}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(score\right) = {\color{rgb(125,164,120)} 6.3072 \times 10^{8}\left(second\right)} = {\color{rgb(125,164,120)} 6.3072 \times 10^{8}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(century\right)={\color{rgb(20,165,174)} x}\left(score\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.3072 \times 10^{8}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.3072 \times 10^{8}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{9}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.3072 \times 10^{8}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(3.1536 \times 10^{9} = {\color{rgb(20,165,174)} x} \times 6.3072 \times 10^{8}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.1536 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{9}}} = {\color{rgb(20,165,174)} x} \times 6.3072 \times {\color{rgb(255,204,153)} \cancel{10^{8}}}\)
\(\text{Simplify}\)
\(3.1536 \times 10.0 = {\color{rgb(20,165,174)} x} \times 6.3072\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.3072 = 3.1536 \times 10.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.3072}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.3072 \times \dfrac{1.0}{6.3072} = 3.1536 \times 10.0 \times \dfrac{1.0}{6.3072}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.3072}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.3072}}} = 3.1536 \times 10.0 \times \dfrac{1.0}{6.3072}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.1536 \times 10.0}{6.3072}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 5\)
\(\text{Conversion Equation}\)
\(1.0\left(century\right) = {\color{rgb(20,165,174)} 5}\left(score\right)\)
