Convert qing(顷) to hundred

Learn how to convert 1 qing(顷) to hundred step by step.

Calculation Breakdown

Set up the equation

1.0 (q i n g (顷)) = x (h u n d r e d)

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 (q i n g (顷)) = \frac{2.0 \times 10^{5}}{3.0} (s q u a r e m e t e r) = \frac{2.0 \times 10^{5}}{3.0} (m^{2})

Right side: 1.0 (h u n d r e d) = 5.0 \times 10^{7} (s q u a r e m e t e r) = 5.0 \times 10^{7} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (q i n g (顷)) = x (h u n d r e d)

Insert known values =>

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \times (s q u a r e m e t e r) = x \times 5.0 \times 10^{7} \times (s q u a r e m e t e r)

Or

1.0 \cdot \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \cdot 5.0 \times 10^{7} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \times 5.0 \times 10^{7} \times (m^{2})

Conversion Equation

\frac{2.0 \times 10^{5}}{3.0} = x \times 5.0 \times 10^{7}

Cancel factors on both sides

Cancel factors

\frac{2.0 \times 10^{5}}{3.0} = x \times 5.0 \times {10^{7}}^{10^{2}}

Simplify

\frac{2.0}{3.0} = x \times 5.0 \times 10^{2}

Switch sides

x \times 5.0 \times 10^{2} = \frac{2.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{2}})

x \times 5.0 \times 10^{2} \times \frac{1.0}{5.0 \times 10^{2}} = \frac{2.0}{3.0} \times \frac{1.0}{5.0 \times 10^{2}}

Cancel

x \times 5.0 \times 10^{2} \times \frac{1.0}{5.0 \times 10^{2}} = \frac{2.0 \times 1.0}{3.0 \times 5.0 \times 10^{2}}

Simplify

x = \frac{2.0}{3.0 \times 5.0 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 2.0}{3.0 \times 5.0}

Solve

x

x \approx 0.0013333333 \approx 1.3333 \times 10^{- 3}

Conversion Equation

1.0 (q i n g (顷)) \approx 1.3333 \times 10^{- 3} (h u n d r e d)

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