Convert light-second to ligne

Learn how to convert 1 light-second to ligne step by step.

Calculation Breakdown

Set up the equation

1.0 (l i g h t - s e c o n d) = x (l i g n e)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (l i g h t - s e c o n d) = 299792458.0 (m e t e r) = 299792458.0 (m)

Right side: 1.0 (l i g n e) = 2.256 \times 10^{- 3} (m e t e r) = 2.256 \times 10^{- 3} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g h t - s e c o n d) = x (l i g n e)

Insert known values =>

1.0 \times 299792458.0 \times (m e t e r) = x \times 2.256 \times 10^{- 3} \times (m e t e r)

Or

1.0 \cdot 299792458.0 \cdot (m) = x \cdot 2.256 \times 10^{- 3} \cdot (m)

Cancel SI units

1.0 \times 299792458.0 \cdot (m) = x \times 2.256 \times 10^{- 3} \times (m)

Conversion Equation

299792458.0 = x \times 2.256 \times 10^{- 3}

Switch sides

x \times 2.256 \times 10^{- 3} = 299792458.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2.256 \times 10^{- 3}})

x \times 2.256 \times 10^{- 3} \times \frac{1.0}{2.256 \times 10^{- 3}} = 299792458.0 \times \frac{1.0}{2.256 \times 10^{- 3}}

Cancel

x \times 2.256 \times 10^{- 3} \times \frac{1.0}{2.256 \times 10^{- 3}} = 299792458.0 \times \frac{1.0}{2.256 \times 10^{- 3}}

Simplify

x = \frac{299792458.0}{2.256 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 299792458.0}{2.256}

Solve

x

x \approx 1.3288672784 \times 10^{11} \approx 1.3289 \times 10^{11}

Conversion Equation

1.0 (l i g h t - s e c o n d) \approx 1.3289 \times 10^{11} (l i g n e)

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