Convert inch to ångström

Learn how to convert 1 inch to ångström step by step.

Calculation Breakdown

Set up the equation

1.0 (i n c h) = x (å n g s t r ö m)

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

(m e t e r)

Left side: 1.0 (i n c h) = 2.5400051 \times 10^{- 2} (m e t e r) = 2.5400051 \times 10^{- 2} (m)

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

Insert known values into the conversion equation to determine

x

1.0 (i n c h) = x (å n g s t r ö m)

Insert known values =>

1.0 \times 2.5400051 \times 10^{- 2} \times (m e t e r) = x \times 10^{- 10} \times (m e t e r)

Or

1.0 \cdot 2.5400051 \times 10^{- 2} \cdot (m) = x \cdot 10^{- 10} \cdot (m)

Cancel SI units

1.0 \times 2.5400051 \times 10^{- 2} \cdot (m) = x \times 10^{- 10} \times (m)

Conversion Equation

2.5400051 \times 10^{- 2} = x \times 10^{- 10}

Cancel factors on both sides

Cancel factors

2.5400051 \times 10^{- 2} = x \times {10^{- 10}}^{10^{- 8}}

Simplify

2.5400051 = x \times 10^{- 8}

Switch sides

x \times 10^{- 8} = 2.5400051

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 8}})

x \times 10^{- 8} \times \frac{1.0}{10^{- 8}} = 2.5400051 \times \frac{1.0}{10^{- 8}}

Cancel

x \times 10^{- 8} \times \frac{1.0}{10^{- 8}} = 2.5400051 \times \frac{1.0}{10^{- 8}}

Simplify

x = \frac{2.5400051}{10^{- 8}}

Rewrite equation

\frac{1.0}{10^{- 8}} can be rewritten to 10^{8}

Rewrite

x = 10^{8} \times 2.5400051

Solve

x

x = 254000510 \approx 2.54 \times 10^{8}

Conversion Equation

1.0 (i n c h) \approx 2.54 \times 10^{8} (å n g s t r ö m)

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