Convert ligne to nanon

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

Calculation Breakdown

Set up the equation

1.0 (l i g n e) = x (n a n o n)

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 (n a n o n) = 10^{- 9} (m e t e r) = 10^{- 9} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g n e) = x (n a n o n)

Insert known values =>

1.0 \times 2.256 \times 10^{- 3} \times (m e t e r) = x \times 10^{- 9} \times (m e t e r)

Or

1.0 \cdot 2.256 \times 10^{- 3} \cdot (m) = x \cdot 10^{- 9} \cdot (m)

Cancel SI units

1.0 \times 2.256 \times 10^{- 3} \cdot (m) = x \times 10^{- 9} \times (m)

Conversion Equation

2.256 \times 10^{- 3} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

2.256 \times 10^{- 3} = x \times {10^{- 9}}^{10^{- 6}}

Simplify

2.256 = x \times 10^{- 6}

Switch sides

x \times 10^{- 6} = 2.256

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 6}})

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 2.256 \times \frac{1.0}{10^{- 6}}

Cancel

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 2.256 \times \frac{1.0}{10^{- 6}}

Simplify

x = \frac{2.256}{10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = 10^{6} \times 2.256

Solve

x

x = 2256000 = 2.256 \times 10^{6}

Conversion Equation

1.0 (l i g n e) = 2.256 \times 10^{6} (n a n o n)

View All Examples