Convert li(公里) to parsec

Learn how to convert 1 li(公里) to parsec step by step.

Calculation Breakdown

Set up the equation

1.0 (l i (公 里)) = 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 (l i (公 里)) = 10^{3} (m e t e r) = 10^{3} (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 (l i (公 里)) = x (p a r s e c)

Insert known values =>

1.0 \times 10^{3} \times (m e t e r) = x \times 3.08567400801506 \times 10^{16} \times (m e t e r)

Or

1.0 \cdot 10^{3} \cdot (m) = x \cdot 3.08567400801506 \times 10^{16} \cdot (m)

Cancel SI units

1.0 \times 10^{3} \cdot (m) = x \times 3.08567400801506 \times 10^{16} \times (m)

Conversion Equation

10^{3} = x \times 3.08567400801506 \times 10^{16}

Cancel factors on both sides

Cancel factors

10^{3} = x \times 3.08567400801506 \times {10^{16}}^{10^{13}}

Simplify

1.0 = x \times 3.08567400801506 \times 10^{13}

Switch sides

x \times 3.08567400801506 \times 10^{13} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{3.08567400801506 \times 10^{13}})

x \times 3.08567400801506 \times 10^{13} \times \frac{1.0}{3.08567400801506 \times 10^{13}} = \times \frac{1.0}{3.08567400801506 \times 10^{13}}

Cancel

x \times 3.08567400801506 \times 10^{13} \times \frac{1.0}{3.08567400801506 \times 10^{13}} = \frac{1.0}{3.08567400801506 \times 10^{13}}

Simplify

x = \frac{1.0}{3.08567400801506 \times 10^{13}}

Rewrite equation

\frac{1.0}{10^{13}} can be rewritten to 10^{- 13}

Rewrite

x = \frac{10^{- 13}}{3.08567400801506}

Solve

x

x \approx 3.2407830425 \times 10^{- 14} \approx 3.2408 \times 10^{- 14}

Conversion Equation

1.0 (l i (公 里)) \approx 3.2408 \times 10^{- 14} (p a r s e c)

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