Convert bu(分) to astronomical unit

Learn how to convert 1 bu(分) to astronomical unit step by step.

Calculation Breakdown

Set up the equation

1.0 (b u (分)) = x (a s t r o n o m i c a l u n i t)

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

(m e t e r)

Left side: 1.0 (b u (分)) = \frac{1.0}{3.3 \times 10^{2}} (m e t e r) = \frac{1.0}{3.3 \times 10^{2}} (m)

Right side: 1.0 (a s t r o n o m i c a l u n i t) = 149597870691.0 (m e t e r) = 149597870691.0 (m)

Insert known values into the conversion equation to determine

x

1.0 (b u (分)) = x (a s t r o n o m i c a l u n i t)

Insert known values =>

1.0 \times \frac{1.0}{3.3 \times 10^{2}} \times (m e t e r) = x \times 149597870691.0 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.3 \times 10^{2}} \cdot (m) = x \cdot 149597870691.0 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.3 \times 10^{2}} \cdot (m) = x \times 149597870691.0 \times (m)

Conversion Equation

\frac{1.0}{3.3 \times 10^{2}} = x \times 149597870691.0

Switch sides

x \times 149597870691.0 = \frac{1.0}{3.3 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{149597870691.0})

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = \frac{1.0}{3.3 \times 10^{2}} \times \frac{1.0}{149597870691.0}

Cancel

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = \frac{1.0 \times 1.0}{3.3 \times 10^{2} \times 149597870691.0}

Simplify

x = \frac{1.0}{3.3 \times 10^{2} \times 149597870691.0}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2}}{3.3 \times 149597870691.0}

Solve

x

x \approx 2.0256324614 \times 10^{- 14} \approx 2.0256 \times 10^{- 14}

Conversion Equation

1.0 (b u (分)) \approx 2.0256 \times 10^{- 14} (a s t r o n o m i c a l u n i t)

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