Convert fall to parsec

Learn how to convert 1 fall to parsec step by step.

Calculation Breakdown

Set up the equation

1.0 (f a l l) = 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 (f a l l) = 6.858 (m e t e r) = 6.858 (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 (f a l l) = x (p a r s e c)

Insert known values =>

1.0 \times 6.858 \times (m e t e r) = x \times 3.08567400801506 \times 10^{16} \times (m e t e r)

Or

1.0 \cdot 6.858 \cdot (m) = x \cdot 3.08567400801506 \times 10^{16} \cdot (m)

Cancel SI units

1.0 \times 6.858 \cdot (m) = x \times 3.08567400801506 \times 10^{16} \times (m)

Conversion Equation

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

Switch sides

x \times 3.08567400801506 \times 10^{16} = 6.858

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}} = 6.858 \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}} = 6.858 \times \frac{1.0}{3.08567400801506 \times 10^{16}}

Simplify

x = \frac{6.858}{3.08567400801506 \times 10^{16}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 16} \times 6.858}{3.08567400801506}

Solve

x

x \approx 2.2225290106 \times 10^{- 16} \approx 2.2225 \times 10^{- 16}

Conversion Equation

1.0 (f a l l) \approx 2.2225 \times 10^{- 16} (p a r s e c)

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