Convert hao(毫) to parsec

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

Calculation Breakdown

Set up the equation

1.0 (h a o (毫)) = x (p a r s e c)

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 (p a r s e c) = 3.08567400801506 \times 10^{16} (m e t e r) = 3.08567400801506 \times 10^{16} (m)

Insert known values into the conversion equation to determine

x

1.0 (h a o (毫)) = x (p a r s e c)

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{4}} \times (m e t e r) = x \times 3.08567400801506 \times 10^{16} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{4}} \cdot (m) = x \cdot 3.08567400801506 \times 10^{16} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{4}} \cdot (m) = x \times 3.08567400801506 \times 10^{16} \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{4}} = x \times 3.08567400801506 \times 10^{16}

Switch sides

x \times 3.08567400801506 \times 10^{16} = \frac{1.0}{3.0 \times 10^{4}}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.08567400801506 \times 10^{16}})

x \times 3.08567400801506 \times 10^{16} \times \frac{1.0}{3.08567400801506 \times 10^{16}} = \frac{1.0}{3.0 \times 10^{4}} \times \frac{1.0}{3.08567400801506 \times 10^{16}}

Cancel

x \times 3.08567400801506 \times 10^{16} \times \frac{1.0}{3.08567400801506 \times 10^{16}} = \frac{1.0 \times 1.0}{3.0 \times 10^{4} \times 3.08567400801506 \times 10^{16}}

Simplify

x = \frac{1.0}{3.0 \times 10^{4} \times 3.08567400801506 \times 10^{16}}

Rewrite equation

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

\frac{1.0}{10^{16}} can be rewritten to 10^{- 16}

Rewrite

x = \frac{10^{- 4} \times 10^{- 16}}{3.0 \times 3.08567400801506}

Simplify

x = \frac{10^{- 20}}{3.0 \times 3.08567400801506}

Solve

x

x \approx 1.0802610142 \times 10^{- 21} \approx 1.0803 \times 10^{- 21}

Conversion Equation

1.0 (h a o (毫)) \approx 1.0803 \times 10^{- 21} (p a r s e c)

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