Convert si(丝) to ligne

Learn how to convert 1 si(丝) to ligne step by step.

Calculation Breakdown

Set up the equation

1.0 (s i (丝)) = 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 (s i (丝)) = 10^{- 5} (m e t e r) = 10^{- 5} (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 (s i (丝)) = x (l i g n e)

Insert known values =>

1.0 \times 10^{- 5} \times (m e t e r) = x \times 2.256 \times 10^{- 3} \times (m e t e r)

Or

1.0 \cdot 10^{- 5} \cdot (m) = x \cdot 2.256 \times 10^{- 3} \cdot (m)

Cancel SI units

1.0 \times 10^{- 5} \cdot (m) = x \times 2.256 \times 10^{- 3} \times (m)

Conversion Equation

10^{- 5} = x \times 2.256 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

{10^{- 5}}^{10^{- 2}} = x \times 2.256 \times 10^{- 3}

Simplify

10^{- 2} = x \times 2.256

Switch sides

x \times 2.256 = 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.256})

x \times 2.256 \times \frac{1.0}{2.256} = 10^{- 2} \times \frac{1.0}{2.256}

Cancel

x \times 2.256 \times \frac{1.0}{2.256} = 10^{- 2} \times \frac{1.0}{2.256}

Simplify

x = \frac{10^{- 2}}{2.256}

Solve

x

x \approx 0.0044326241 \approx 4.4326 \times 10^{- 3}

Conversion Equation

1.0 (s i (丝)) \approx 4.4326 \times 10^{- 3} (l i g n e)

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