Convert nanon to astronomical unit

Learn how to convert 1 nanon to astronomical unit step by step.

Calculation Breakdown

Set up the equation

1.0 (n a n o n) = x (a s t r o n o m i c a l u n i t)

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

(m e t e r)

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

Right side: 1.0 (a s t r o n o m i c a l u n i t) = 149597870691.0 (m e t e r) = 149597870691.0 (m)

Insert known values into the conversion equation to determine

x

1.0 (n a n o n) = x (a s t r o n o m i c a l u n i t)

Insert known values =>

1.0 \times 10^{- 9} \times (m e t e r) = x \times 149597870691.0 \times (m e t e r)

Or

1.0 \cdot 10^{- 9} \cdot (m) = x \cdot 149597870691.0 \cdot (m)

Cancel SI units

1.0 \times 10^{- 9} \cdot (m) = x \times 149597870691.0 \times (m)

Conversion Equation

10^{- 9} = x \times 149597870691.0

Switch sides

x \times 149597870691.0 = 10^{- 9}

Isolate

x

Multiply both sides by

(\frac{1.0}{149597870691.0})

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = 10^{- 9} \times \frac{1.0}{149597870691.0}

Cancel

x \times 149597870691.0 \times \frac{1.0}{149597870691.0} = 10^{- 9} \times \frac{1.0}{149597870691.0}

Simplify

x = \frac{10^{- 9}}{149597870691.0}

Solve

x

x \approx 6.6845871227 \times 10^{- 21} \approx 6.6846 \times 10^{- 21}

Conversion Equation

1.0 (n a n o n) \approx 6.6846 \times 10^{- 21} (a s t r o n o m i c a l u n i t)

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