Convert dan(市石) to drop

Learn how to convert 1 dan(市石) to drop step by step.

Calculation Breakdown

Set up the equation

1.0 (d a n (市 石)) = x (d r o p)

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

(c u b i c m e t e r)

Left side: 1.0 (d a n (市 石)) = 10^{- 1} (c u b i c m e t e r) = 10^{- 1} (m^{3})

Right side: 1.0 (d r o p) = 5.0 \times 10^{- 8} (c u b i c m e t e r) = 5.0 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d a n (市 石)) = x (d r o p)

Insert known values =>

1.0 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 5.0 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 1} \cdot (m^{3}) = x \cdot 5.0 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 1} \cdot (m^{3}) = x \times 5.0 \times 10^{- 8} \times (m^{3})

Conversion Equation

10^{- 1} = x \times 5.0 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

10^{- 1} = x \times 5.0 \times {10^{- 8}}^{10^{- 7}}

Simplify

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

Switch sides

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

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

Simplify

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

Rewrite equation

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

Rewrite

x = \frac{10^{7}}{5.0}

Solve

x

x = 2000000 = 2 \times 10^{6}

Conversion Equation

1.0 (d a n (市 石)) = 2 \times 10^{6} (d r o p)

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