Convert qing(顷) to football field

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

Calculation Breakdown

Set up the equation

1.0 (q i n g (顷)) = x (f o o t b a l l f i e l 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 (f o o t b a l l f i e l d) = 7.14 \times 10^{3} (s q u a r e m e t e r) = 7.14 \times 10^{3} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (q i n g (顷)) = x (f o o t b a l l f i e l 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 7.14 \times 10^{3} \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 7.14 \times 10^{3} \cdot (m^{2})

Cancel SI units

1.0 \times \frac{2.0 \times 10^{5}}{3.0} \cdot (m^{2}) = x \times 7.14 \times 10^{3} \times (m^{2})

Conversion Equation

\frac{2.0 \times 10^{5}}{3.0} = x \times 7.14 \times 10^{3}

Cancel factors on both sides

Cancel factors

\frac{2.0 \times {10^{5}}^{10^{2}}}{3.0} = x \times 7.14 \times 10^{3}

Simplify

\frac{2.0 \times 10^{2}}{3.0} = x \times 7.14

Switch sides

x \times 7.14 = \frac{2.0 \times 10^{2}}{3.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.14})

x \times 7.14 \times \frac{1.0}{7.14} = \frac{2.0 \times 10^{2}}{3.0} \times \frac{1.0}{7.14}

Cancel

x \times 7.14 \times \frac{1.0}{7.14} = \frac{2.0 \times 10^{2} \times 1.0}{3.0 \times 7.14}

Simplify

x = \frac{2.0 \times 10^{2}}{3.0 \times 7.14}

Solve

x

x \approx 9.3370681606 \approx 9.3371

Conversion Equation

1.0 (q i n g (顷)) \approx 9.3371 (f o o t b a l l f i e l d)

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