Convert tenth meter to mil

Learn how to convert 1 tenth meter to mil step by step.

Calculation Breakdown

Set up the equation

1.0 (t e n t h m e t e r) = x (m i l)

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

(m e t e r)

Left side: 1.0 (t e n t h m e t e r) = 10^{- 10} (m e t e r) = 10^{- 10} (m)

Right side: 1.0 (m i l) = 2.54 \times 10^{- 5} (m e t e r) = 2.54 \times 10^{- 5} (m)

Insert known values into the conversion equation to determine

x

1.0 (t e n t h m e t e r) = x (m i l)

Insert known values =>

1.0 \times 10^{- 10} \times (m e t e r) = x \times 2.54 \times 10^{- 5} \times (m e t e r)

Or

1.0 \cdot 10^{- 10} \cdot (m) = x \cdot 2.54 \times 10^{- 5} \cdot (m)

Cancel SI units

1.0 \times 10^{- 10} \cdot (m) = x \times 2.54 \times 10^{- 5} \times (m)

Conversion Equation

10^{- 10} = x \times 2.54 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

{10^{- 10}}^{10^{- 5}} = x \times 2.54 \times 10^{- 5}

Simplify

10^{- 5} = x \times 2.54

Switch sides

x \times 2.54 = 10^{- 5}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54})

x \times 2.54 \times \frac{1.0}{2.54} = 10^{- 5} \times \frac{1.0}{2.54}

Cancel

x \times 2.54 \times \frac{1.0}{2.54} = 10^{- 5} \times \frac{1.0}{2.54}

Simplify

x = \frac{10^{- 5}}{2.54}

Solve

x

x \approx 0.000003937 \approx 3.937 \times 10^{- 6}

Conversion Equation

1.0 (t e n t h m e t e r) \approx 3.937 \times 10^{- 6} (m i l)

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