Convert cun(公寸) to si(丝)

Learn how to convert 1 cun(公寸) to si(丝) step by step.

Calculation Breakdown

Set up the equation

1.0 (c u n (公 寸)) = x (s i (丝))

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

(m e t e r)

Left side: 1.0 (c u n (公 寸)) = 10^{- 1} (m e t e r) = 10^{- 1} (m)

Right side: 1.0 (s i (丝)) = 10^{- 5} (m e t e r) = 10^{- 5} (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (公 寸)) = x (s i (丝))

Insert known values =>

1.0 \times 10^{- 1} \times (m e t e r) = x \times 10^{- 5} \times (m e t e r)

Or

1.0 \cdot 10^{- 1} \cdot (m) = x \cdot 10^{- 5} \cdot (m)

Cancel SI units

1.0 \times 10^{- 1} \cdot (m) = x \times 10^{- 5} \times (m)

Conversion Equation

10^{- 1} = x \times 10^{- 5}

Cancel factors on both sides

Cancel factors

10^{- 1} = x \times {10^{- 5}}^{10^{- 4}}

Simplify

1.0 = x \times 10^{- 4}

Switch sides

x \times 10^{- 4} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 4}})

x \times 10^{- 4} \times \frac{1.0}{10^{- 4}} = \times \frac{1.0}{10^{- 4}}

Cancel

x \times 10^{- 4} \times \frac{1.0}{10^{- 4}} = \frac{1.0}{10^{- 4}}

Simplify

x = \frac{1.0}{10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = 10^{4}

Solve

x

x = 10000 = 1 \times 10^{4}

Conversion Equation

1.0 (c u n (公 寸)) = 1 \times 10^{4} (s i (丝))

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