Convert fod to nanon

Learn how to convert 1 fod to nanon step by step.

Calculation Breakdown

Set up the equation

1.0 (f o d) = x (n a n o n)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (f o d) = 0.3141 (m e t e r) = 0.3141 (m)

Right side: 1.0 (n a n o n) = 10^{- 9} (m e t e r) = 10^{- 9} (m)

Insert known values into the conversion equation to determine

x

1.0 (f o d) = x (n a n o n)

Insert known values =>

1.0 \times 0.3141 \times (m e t e r) = x \times 10^{- 9} \times (m e t e r)

Or

1.0 \cdot 0.3141 \cdot (m) = x \cdot 10^{- 9} \cdot (m)

Cancel SI units

1.0 \times 0.3141 \cdot (m) = x \times 10^{- 9} \times (m)

Conversion Equation

0.3141 = x \times 10^{- 9}

Switch sides

x \times 10^{- 9} = 0.3141

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 9}})

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = 0.3141 \times \frac{1.0}{10^{- 9}}

Cancel

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = 0.3141 \times \frac{1.0}{10^{- 9}}

Simplify

x = \frac{0.3141}{10^{- 9}}

Rewrite equation

\frac{1.0}{10^{- 9}} can be rewritten to 10^{9}

Rewrite

x = 10^{9} \times 0.3141

Solve

x

x = 314100000 = 3.141 \times 10^{8}

Conversion Equation

1.0 (f o d) = 3.141 \times 10^{8} (n a n o n)

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