Convert hao(毫) to inch

Learn how to convert 1 hao(毫) to inch step by step.

Calculation Breakdown

Set up the equation

1.0 (h a o (毫)) = x (i n c h)

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

(m e t e r)

Left side: 1.0 (h a o (毫)) = \frac{1.0}{3.0 \times 10^{4}} (m e t e r) = \frac{1.0}{3.0 \times 10^{4}} (m)

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

Insert known values into the conversion equation to determine

x

1.0 (h a o (毫)) = x (i n c h)

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{4}} \times (m e t e r) = x \times 2.54 \times 10^{- 2} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{4}} \cdot (m) = x \cdot 2.54 \times 10^{- 2} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{4}} \cdot (m) = x \times 2.54 \times 10^{- 2} \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{4}} = x \times 2.54 \times 10^{- 2}

Switch sides

x \times 2.54 \times 10^{- 2} = \frac{1.0}{3.0 \times 10^{4}}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.54 \times 10^{- 2}})

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = \frac{1.0}{3.0 \times 10^{4}} \times \frac{1.0}{2.54 \times 10^{- 2}}

Cancel

x \times 2.54 \times 10^{- 2} \times \frac{1.0}{2.54 \times 10^{- 2}} = \frac{1.0 \times 1.0}{3.0 \times {10^{4}}^{10^{2}} \times 2.54 \times 10^{- 2}}

Simplify

x = \frac{1.0}{3.0 \times 10^{2} \times 2.54}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2}}{3.0 \times 2.54}

Solve

x

x \approx 0.001312336 \approx 1.3123 \times 10^{- 3}

Conversion Equation

1.0 (h a o (毫)) \approx 1.3123 \times 10^{- 3} (i n c h)

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