Convert square chain to fang cun(方寸)

Learn how to convert 1 square chain to fang cun(方寸) step by step.

Calculation Breakdown

Set up the equation

1.0 (s q u a r e c h a i n) = x (f a n g c u n (方 寸))

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 (s q u a r e c h a i n) = 4.0 \times 10^{2} (s q u a r e m e t e r) = 4.0 \times 10^{2} (m^{2})

Right side: 1.0 (f a n g c u n (方 寸)) = \frac{10^{- 2}}{9.0} (s q u a r e m e t e r) = \frac{10^{- 2}}{9.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (s q u a r e c h a i n) = x (f a n g c u n (方 寸))

Insert known values =>

1.0 \times 4.0 \times 10^{2} \times (s q u a r e m e t e r) = x \times \frac{10^{- 2}}{9.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 4.0 \times 10^{2} \cdot (m^{2}) = x \cdot \frac{10^{- 2}}{9.0} \cdot (m^{2})

Cancel SI units

1.0 \times 4.0 \times 10^{2} \cdot (m^{2}) = x \times \frac{10^{- 2}}{9.0} \times (m^{2})

Conversion Equation

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

Switch sides

x \times \frac{10^{- 2}}{9.0} = 4.0 \times 10^{2}

Isolate

x

Multiply both sides by

(\frac{9.0}{10^{- 2}})

x \times \frac{10^{- 2}}{9.0} \times \frac{9.0}{10^{- 2}} = 4.0 \times 10^{2} \times \frac{9.0}{10^{- 2}}

Cancel

x \times \frac{10^{- 2} \times 9.0}{9.0 \times 10^{- 2}} = 4.0 \times 10^{2} \times \frac{9.0}{10^{- 2}}

Simplify

x = \frac{4.0 \times 10^{2} \times 9.0}{10^{- 2}}

Rewrite equation

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

Rewrite

x = 10^{2} \times 4.0 \times 10^{2} \times 9.0

Simplify

x = 10^{4} \times 4.0 \times 9.0

Solve

x

x = 360000 = 3.6 \times 10^{5}

Conversion Equation

1.0 (s q u a r e c h a i n) = 3.6 \times 10^{5} (f a n g c u n (方 寸))

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