Convert astronomical unit to nail

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

Calculation Breakdown

Set up the equation

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

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

(m e t e r)

Left 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)

Right side: 1.0 (n a i l) = 0.05715 (m e t e r) = 0.05715 (m)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 149597870691.0 \times (m e t e r) = x \times 0.05715 \times (m e t e r)

Or

1.0 \cdot 149597870691.0 \cdot (m) = x \cdot 0.05715 \cdot (m)

Cancel SI units

1.0 \times 149597870691.0 \cdot (m) = x \times 0.05715 \times (m)

Conversion Equation

149597870691.0 = x \times 0.05715

Switch sides

x \times 0.05715 = 149597870691.0

Isolate

x

Multiply both sides by

(\frac{1.0}{0.05715})

x \times 0.05715 \times \frac{1.0}{0.05715} = 149597870691.0 \times \frac{1.0}{0.05715}

Cancel

x \times 0.05715 \times \frac{1.0}{0.05715} = 149597870691.0 \times \frac{1.0}{0.05715}

Simplify

x = \frac{149597870691.0}{0.05715}

Solve

x

x \approx 2.6176355327 \times 10^{12} \approx 2.6176 \times 10^{12}

Conversion Equation

1.0 (a s t r o n o m i c a l u n i t) \approx 2.6176 \times 10^{12} (n a i l)

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