Convert parsec to em

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

Calculation Breakdown

Set up the equation

1.0 (p a r s e c) = x (e m)

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

(m e t e r)

Left 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)

Right side: 1.0 (e m) = \frac{1.0}{2835.0} (m e t e r) = \frac{1.0}{2835.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (p a r s e c) = x (e m)

Insert known values =>

1.0 \times 3.08567400801506 \times 10^{16} \times (m e t e r) = x \times \frac{1.0}{2835.0} \times (m e t e r)

Or

1.0 \cdot 3.08567400801506 \times 10^{16} \cdot (m) = x \cdot \frac{1.0}{2835.0} \cdot (m)

Cancel SI units

1.0 \times 3.08567400801506 \times 10^{16} \cdot (m) = x \times \frac{1.0}{2835.0} \times (m)

Conversion Equation

3.08567400801506 \times 10^{16} = x \times \frac{1.0}{2835.0}

Switch sides

x \times \frac{1.0}{2835.0} = 3.08567400801506 \times 10^{16}

Isolate

x

Multiply both sides by

(\frac{2835.0}{1.0})

x \times \frac{1.0}{2835.0} \times \frac{2835.0}{1.0} = 3.08567400801506 \times 10^{16} \times \frac{2835.0}{1.0}

Cancel

x \times \frac{1.0 \times 2835.0}{2835.0 \times 1.0} = 3.08567400801506 \times 10^{16} \times \frac{2835.0}{1.0}

Simplify

x = 3.08567400801506 \times 10^{16} \times 2835.0

Solve

x

x \approx 8.7478858127 \times 10^{19} \approx 8.7479 \times 10^{19}

Conversion Equation

1.0 (p a r s e c) \approx 8.7479 \times 10^{19} (e m)

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