Convert barn to hundred

Learn how to convert 1 barn to hundred step by step.

Calculation Breakdown

Set up the equation

1.0 (b a r n) = 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 (b a r n) = 10^{- 28} (s q u a r e m e t e r) = 10^{- 28} (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 (b a r n) = x (h u n d r e d)

Insert known values =>

1.0 \times 10^{- 28} \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 10^{- 28} \cdot (m^{2}) = x \cdot 5.0 \times 10^{7} \cdot (m^{2})

Cancel SI units

1.0 \times 10^{- 28} \cdot (m^{2}) = x \times 5.0 \times 10^{7} \times (m^{2})

Conversion Equation

10^{- 28} = x \times 5.0 \times 10^{7}

Switch sides

x \times 5.0 \times 10^{7} = 10^{- 28}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{7}})

x \times 5.0 \times 10^{7} \times \frac{1.0}{5.0 \times 10^{7}} = 10^{- 28} \times \frac{1.0}{5.0 \times 10^{7}}

Cancel

x \times 5.0 \times 10^{7} \times \frac{1.0}{5.0 \times 10^{7}} = 10^{- 28} \times \frac{1.0}{5.0 \times 10^{7}}

Simplify

x = \frac{10^{- 28}}{5.0 \times 10^{7}}

Rewrite equation

\frac{1.0}{10^{7}} can be rewritten to 10^{- 7}

Rewrite

x = \frac{10^{- 7} \times 10^{- 28}}{5.0}

Simplify

x = \frac{10^{- 35}}{5.0}

Solve

x

x = 2 \times 10^{- 36}

Conversion Equation

1.0 (b a r n) = 2 \times 10^{- 36} (h u n d r e d)

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