Convert ligne to si(丝)

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

Calculation Breakdown

Set up the equation

1.0 (l i g n e) = x (s i (丝))

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

Right side: 1.0 (s i (丝)) = 10^{- 5} (m e t e r) = 10^{- 5} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g n e) = x (s i (丝))

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

2.256 = x \times 10^{- 2}

Switch sides

x \times 10^{- 2} = 2.256

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 2}})

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

Cancel

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

Simplify

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

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = 10^{2} \times 2.256

Solve

x

x = 225.6 = 2.256 \times 10^{2}

Conversion Equation

1.0 (l i g n e) = 2.256 \times 10^{2} (s i (丝))

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