Convert ångström to li(里)

Learn how to convert 1 ångström to li(里) step by step.

Calculation Breakdown

Set up the equation

1.0 (å n g s t r ö m) = x (l i (里))

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

(m e t e r)

Left side: 1.0 (å n g s t r ö m) = 10^{- 10} (m e t e r) = 10^{- 10} (m)

Right side: 1.0 (l i (里)) = 5.0 \times 10^{2} (m e t e r) = 5.0 \times 10^{2} (m)

Insert known values into the conversion equation to determine

x

1.0 (å n g s t r ö m) = x (l i (里))

Insert known values =>

1.0 \times 10^{- 10} \times (m e t e r) = x \times 5.0 \times 10^{2} \times (m e t e r)

Or

1.0 \cdot 10^{- 10} \cdot (m) = x \cdot 5.0 \times 10^{2} \cdot (m)

Cancel SI units

1.0 \times 10^{- 10} \cdot (m) = x \times 5.0 \times 10^{2} \times (m)

Conversion Equation

10^{- 10} = x \times 5.0 \times 10^{2}

Switch sides

x \times 5.0 \times 10^{2} = 10^{- 10}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{2}})

x \times 5.0 \times 10^{2} \times \frac{1.0}{5.0 \times 10^{2}} = 10^{- 10} \times \frac{1.0}{5.0 \times 10^{2}}

Cancel

x \times 5.0 \times 10^{2} \times \frac{1.0}{5.0 \times 10^{2}} = 10^{- 10} \times \frac{1.0}{5.0 \times 10^{2}}

Simplify

x = \frac{10^{- 10}}{5.0 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 10^{- 10}}{5.0}

Simplify

x = \frac{10^{- 12}}{5.0}

Solve

x

x = 2 \times 10^{- 13}

Conversion Equation

1.0 (å n g s t r ö m) = 2 \times 10^{- 13} (l i (里))

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