Convert are to qing(顷)

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

Calculation Breakdown

Set up the equation

1.0 (a r e) = x (q i n g (顷))

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 (a r e) = 10^{2} (s q u a r e m e t e r) = 10^{2} (m^{2})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (a r e) = x (q i n g (顷))

Insert known values =>

1.0 \times 10^{2} \times (s q u a r e m e t e r) = x \times \frac{2.0 \times 10^{5}}{3.0} \times (s q u a r e m e t e r)

Or

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

10^{2} = x \times \frac{2.0 \times {10^{5}}^{10^{3}}}{3.0}

Simplify

1.0 = x \times \frac{2.0 \times 10^{3}}{3.0}

Switch sides

x \times \frac{2.0 \times 10^{3}}{3.0} = 1.0

Isolate

x

Multiply both sides by

(\frac{3.0}{2.0 \times 10^{3}})

x \times \frac{2.0 \times 10^{3}}{3.0} \times \frac{3.0}{2.0 \times 10^{3}} = \times \frac{3.0}{2.0 \times 10^{3}}

Cancel

x \times \frac{2.0 \times 10^{3} \times 3.0}{3.0 \times 2.0 \times 10^{3}} = \frac{3.0}{2.0 \times 10^{3}}

Simplify

x = \frac{3.0}{2.0 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 3.0}{2.0}

Solve

x

x = 1.5 \times 10^{- 3}

Conversion Equation

1.0 (a r e) = 1.5 \times 10^{- 3} (q i n g (顷))

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