Convert fang zhang(方丈) to barn

Learn how to convert 1 fang zhang(方丈) to barn step by step.

Calculation Breakdown

Set up the equation

1.0 (f a n g z h a n g (方 丈)) = x (b a r n)

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

(s q u a r e m e t e r)

Left side: 1.0 (f a n g z h a n g (方 丈)) = \frac{10^{2}}{9.0} (s q u a r e m e t e r) = \frac{10^{2}}{9.0} (m^{2})

Right side: 1.0 (b a r n) = 10^{- 28} (s q u a r e m e t e r) = 10^{- 28} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a n g z h a n g (方 丈)) = x (b a r n)

Insert known values =>

1.0 \times \frac{10^{2}}{9.0} \times (s q u a r e m e t e r) = x \times 10^{- 28} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{10^{2}}{9.0} \cdot (m^{2}) = x \cdot 10^{- 28} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{10^{2}}{9.0} \cdot (m^{2}) = x \times 10^{- 28} \times (m^{2})

Conversion Equation

\frac{10^{2}}{9.0} = x \times 10^{- 28}

Switch sides

x \times 10^{- 28} = \frac{10^{2}}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 28}})

x \times 10^{- 28} \times \frac{1.0}{10^{- 28}} = \frac{10^{2}}{9.0} \times \frac{1.0}{10^{- 28}}

Cancel

x \times 10^{- 28} \times \frac{1.0}{10^{- 28}} = \frac{10^{2} \times 1.0}{9.0 \times 10^{- 28}}

Simplify

x = \frac{10^{2}}{9.0 \times 10^{- 28}}

Rewrite equation

\frac{1.0}{10^{- 28}} can be rewritten to 10^{28}

Rewrite

x = \frac{10^{28} \times 10^{2}}{9.0}

Simplify

x = \frac{10^{30}}{9.0}

Solve

x

x \approx 1.1111111111 \times 10^{29} \approx 1.1111 \times 10^{29}

Conversion Equation

1.0 (f a n g z h a n g (方 丈)) \approx 1.1111 \times 10^{29} (b a r n)

View All Examples