Convert yin(引) to nanon

Learn how to convert 1 yin(引) to nanon step by step.

Calculation Breakdown

Set up the equation

1.0 (y i n (引)) = 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 (y i n (引)) = \frac{10^{2}}{3.0} (m e t e r) = \frac{10^{2}}{3.0} (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 (y i n (引)) = x (n a n o n)

Insert known values =>

1.0 \times \frac{10^{2}}{3.0} \times (m e t e r) = x \times 10^{- 9} \times (m e t e r)

Or

1.0 \cdot \frac{10^{2}}{3.0} \cdot (m) = x \cdot 10^{- 9} \cdot (m)

Cancel SI units

1.0 \times \frac{10^{2}}{3.0} \cdot (m) = x \times 10^{- 9} \times (m)

Conversion Equation

\frac{10^{2}}{3.0} = x \times 10^{- 9}

Switch sides

x \times 10^{- 9} = \frac{10^{2}}{3.0}

Isolate

x

Multiply both sides by

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

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = \frac{10^{2}}{3.0} \times \frac{1.0}{10^{- 9}}

Cancel

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = \frac{10^{2} \times 1.0}{3.0 \times 10^{- 9}}

Simplify

x = \frac{10^{2}}{3.0 \times 10^{- 9}}

Rewrite equation

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

Rewrite

x = \frac{10^{9} \times 10^{2}}{3.0}

Simplify

x = \frac{10^{11}}{3.0}

Solve

x

x \approx 33333333333 \approx 3.3333 \times 10^{10}

Conversion Equation

1.0 (y i n (引)) \approx 3.3333 \times 10^{10} (n a n o n)

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