Convert football field to virgate

Learn how to convert 1 football field to virgate step by step.

Calculation Breakdown

Set up the equation

1.0 (f o o t b a l l f i e l d) = x (v i r g a t e)

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 (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})

Right side: 1.0 (v i r g a t e) = 1.2 \times 10^{5} (s q u a r e m e t e r) = 1.2 \times 10^{5} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f o o t b a l l f i e l d) = x (v i r g a t e)

Insert known values =>

1.0 \times 7.14 \times 10^{3} \times (s q u a r e m e t e r) = x \times 1.2 \times 10^{5} \times (s q u a r e m e t e r)

Or

1.0 \cdot 7.14 \times 10^{3} \cdot (m^{2}) = x \cdot 1.2 \times 10^{5} \cdot (m^{2})

Cancel SI units

1.0 \times 7.14 \times 10^{3} \cdot (m^{2}) = x \times 1.2 \times 10^{5} \times (m^{2})

Conversion Equation

7.14 \times 10^{3} = x \times 1.2 \times 10^{5}

Cancel factors on both sides

Cancel factors

7.14 \times 10^{3} = x \times 1.2 \times {10^{5}}^{10^{2}}

Simplify

7.14 = x \times 1.2 \times 10^{2}

Switch sides

x \times 1.2 \times 10^{2} = 7.14

Isolate

x

Multiply both sides by

(\frac{1.0}{1.2 \times 10^{2}})

x \times 1.2 \times 10^{2} \times \frac{1.0}{1.2 \times 10^{2}} = 7.14 \times \frac{1.0}{1.2 \times 10^{2}}

Cancel

x \times 1.2 \times 10^{2} \times \frac{1.0}{1.2 \times 10^{2}} = 7.14 \times \frac{1.0}{1.2 \times 10^{2}}

Simplify

x = \frac{7.14}{1.2 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 7.14}{1.2}

Solve

x

x = 0.0595 = 5.95 \times 10^{- 2}

Conversion Equation

1.0 (f o o t b a l l f i e l d) = 5.95 \times 10^{- 2} (v i r g a t e)

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