Convert point to point
Learn how to convert
1
point to
point
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(point\right)={\color{rgb(20,165,174)} x}\left(point\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(point\right) = {\color{rgb(89,182,91)} 3.514598 \times 10^{-4}\left(meter\right)} = {\color{rgb(89,182,91)} 3.514598 \times 10^{-4}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(point\right) = {\color{rgb(125,164,120)} 2.54 \times 10^{-5}\left(meter\right)} = {\color{rgb(125,164,120)} 2.54 \times 10^{-5}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(point\right)={\color{rgb(20,165,174)} x}\left(point\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.514598 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.54 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.514598 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.54 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.514598 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.54 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(3.514598 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-5}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.514598 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}} = {\color{rgb(20,165,174)} x} \times 2.54 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-5}}}\)
\(\text{Simplify}\)
\(3.514598 = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-1}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-1} = 3.514598\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.54 \times 10^{-1}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-1} \times \dfrac{1.0}{2.54 \times 10^{-1}} = 3.514598 \times \dfrac{1.0}{2.54 \times 10^{-1}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = 3.514598 \times \dfrac{1.0}{2.54 \times 10^{-1}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.514598}{2.54 \times 10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 3.514598}{2.54}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 13.837\)
\(\text{Conversion Equation}\)
\(1.0\left(point\right) = {\color{rgb(20,165,174)} 13.837}\left(point\right)\)
