Convert gallon to drop

Learn how to convert 1 gallon to drop step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = 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 (g a l l o n) = 4.40488377086 \times 10^{- 3} (c u b i c m e t e r) = 4.40488377086 \times 10^{- 3} (m^{3})

Right side: 1.0 (d r o p) = 6.48542314967105 \times 10^{- 8} (c u b i c m e t e r) = 6.48542314967105 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (d r o p)

Insert known values =>

1.0 \times 4.40488377086 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 6.48542314967105 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 4.40488377086 \times 10^{- 3} \cdot (m^{3}) = x \cdot 6.48542314967105 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 4.40488377086 \times 10^{- 3} \cdot (m^{3}) = x \times 6.48542314967105 \times 10^{- 8} \times (m^{3})

Conversion Equation

4.40488377086 \times 10^{- 3} = x \times 6.48542314967105 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

4.40488377086 \times 10^{- 3} = x \times 6.48542314967105 \times {10^{- 8}}^{10^{- 5}}

Simplify

4.40488377086 = x \times 6.48542314967105 \times 10^{- 5}

Switch sides

x \times 6.48542314967105 \times 10^{- 5} = 4.40488377086

Isolate

x

Multiply both sides by

(\frac{1.0}{6.48542314967105 \times 10^{- 5}})

x \times 6.48542314967105 \times 10^{- 5} \times \frac{1.0}{6.48542314967105 \times 10^{- 5}} = 4.40488377086 \times \frac{1.0}{6.48542314967105 \times 10^{- 5}}

Cancel

x \times 6.48542314967105 \times 10^{- 5} \times \frac{1.0}{6.48542314967105 \times 10^{- 5}} = 4.40488377086 \times \frac{1.0}{6.48542314967105 \times 10^{- 5}}

Simplify

x = \frac{4.40488377086}{6.48542314967105 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 4.40488377086}{6.48542314967105}

Solve

x

x \approx 67919.758961 \approx 6.792 \times 10^{4}

Conversion Equation

1.0 (g a l l o n) \approx 6.792 \times 10^{4} (d r o p)

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