Convert month to moment
Learn how to convert
1
month to
moment
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(month\right)={\color{rgb(20,165,174)} x}\left(moment\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(month\right) = {\color{rgb(89,182,91)} 2.4192 \times 10^{6}\left(second\right)} = {\color{rgb(89,182,91)} 2.4192 \times 10^{6}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(moment\right) = {\color{rgb(125,164,120)} 90.0\left(second\right)} = {\color{rgb(125,164,120)} 90.0\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(month\right)={\color{rgb(20,165,174)} x}\left(moment\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.4192 \times 10^{6}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 90.0}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.4192 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 90.0} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.4192 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 90.0} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(2.4192 \times 10^{6} = {\color{rgb(20,165,174)} x} \times 90.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 90.0 = 2.4192 \times 10^{6}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{90.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 90.0 \times \dfrac{1.0}{90.0} = 2.4192 \times 10^{6} \times \dfrac{1.0}{90.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{90.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{90.0}}} = 2.4192 \times 10^{6} \times \dfrac{1.0}{90.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.4192 \times 10^{6}}{90.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 26880 = 2.688 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(month\right) = {\color{rgb(20,165,174)} 2.688 \times 10^{4}}\left(moment\right)\)
