Convert inch to micron

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

Calculation Breakdown

Set up the equation

1.0 (i n c h) = x (m i c r 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 (i n c h) = 2.54 \times 10^{- 2} (m e t e r) = 2.54 \times 10^{- 2} (m)

Right side: 1.0 (m i c r o n) = 10^{- 6} (m e t e r) = 10^{- 6} (m)

Insert known values into the conversion equation to determine

x

1.0 (i n c h) = x (m i c r o n)

Insert known values =>

1.0 \times 2.54 \times 10^{- 2} \times (m e t e r) = x \times 10^{- 6} \times (m e t e r)

Or

1.0 \cdot 2.54 \times 10^{- 2} \cdot (m) = x \cdot 10^{- 6} \cdot (m)

Cancel SI units

1.0 \times 2.54 \times 10^{- 2} \cdot (m) = x \times 10^{- 6} \times (m)

Conversion Equation

2.54 \times 10^{- 2} = x \times 10^{- 6}

Cancel factors on both sides

Cancel factors

2.54 \times 10^{- 2} = x \times {10^{- 6}}^{10^{- 4}}

Simplify

2.54 = x \times 10^{- 4}

Switch sides

x \times 10^{- 4} = 2.54

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 4}})

x \times 10^{- 4} \times \frac{1.0}{10^{- 4}} = 2.54 \times \frac{1.0}{10^{- 4}}

Cancel

x \times 10^{- 4} \times \frac{1.0}{10^{- 4}} = 2.54 \times \frac{1.0}{10^{- 4}}

Simplify

x = \frac{2.54}{10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = 10^{4} \times 2.54

Solve

x

x = 25400 = 2.54 \times 10^{4}

Conversion Equation

1.0 (i n c h) = 2.54 \times 10^{4} (m i c r o n)

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