Convert chain to ligne

Learn how to convert 1 chain to ligne step by step.

Calculation Breakdown

Set up the equation

1.0 (c h a i n) = 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 (c h a i n) = 20.1168 (m e t e r) = 20.1168 (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 (c h a i n) = x (l i g n e)

Insert known values =>

1.0 \times 20.1168 \times (m e t e r) = x \times 2.256 \times 10^{- 3} \times (m e t e r)

Or

1.0 \cdot 20.1168 \cdot (m) = x \cdot 2.256 \times 10^{- 3} \cdot (m)

Cancel SI units

1.0 \times 20.1168 \cdot (m) = x \times 2.256 \times 10^{- 3} \times (m)

Conversion Equation

20.1168 = x \times 2.256 \times 10^{- 3}

Switch sides

x \times 2.256 \times 10^{- 3} = 20.1168

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}} = 20.1168 \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}} = 20.1168 \times \frac{1.0}{2.256 \times 10^{- 3}}

Simplify

x = \frac{20.1168}{2.256 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 20.1168}{2.256}

Solve

x

x \approx 8917.0212766 \approx 8.917 \times 10^{3}

Conversion Equation

1.0 (c h a i n) \approx 8.917 \times 10^{3} (l i g n e)

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