Convert football field to board

Learn how to convert 1 football field to board 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 (b o a r 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 (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 (b o a r d) = 7.74192 \times 10^{- 3} (s q u a r e m e t e r) = 7.74192 \times 10^{- 3} (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 (b o a r d)

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 7.74192 \times 10^{- 3} \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 7.74192 \times 10^{- 3} \cdot (m^{2})

Cancel SI units

1.0 \times 7.14 \times 10^{3} \cdot (m^{2}) = x \times 7.74192 \times 10^{- 3} \times (m^{2})

Conversion Equation

7.14 \times 10^{3} = x \times 7.74192 \times 10^{- 3}

Switch sides

x \times 7.74192 \times 10^{- 3} = 7.14 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.74192 \times 10^{- 3}})

x \times 7.74192 \times 10^{- 3} \times \frac{1.0}{7.74192 \times 10^{- 3}} = 7.14 \times 10^{3} \times \frac{1.0}{7.74192 \times 10^{- 3}}

Cancel

x \times 7.74192 \times 10^{- 3} \times \frac{1.0}{7.74192 \times 10^{- 3}} = 7.14 \times 10^{3} \times \frac{1.0}{7.74192 \times 10^{- 3}}

Simplify

x = \frac{7.14 \times 10^{3}}{7.74192 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 7.14 \times 10^{3}}{7.74192}

Simplify

x = \frac{10^{6} \times 7.14}{7.74192}

Solve

x

x \approx 922251.8445 \approx 9.2225 \times 10^{5}

Conversion Equation

1.0 (f o o t b a l l f i e l d) \approx 9.2225 \times 10^{5} (b o a r d)

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