Convert dessertspoon to drop

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

Calculation Breakdown

Set up the equation

1.0 (d e s s e r t s p o 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 (d e s s e r t s p o o n) = 1.18387760416667 \times 10^{- 5} (c u b i c m e t e r) = 1.18387760416667 \times 10^{- 5} (m^{3})

Right side: 1.0 (d r o p) = 7.78866844846491 \times 10^{- 8} (c u b i c m e t e r) = 7.78866844846491 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d e s s e r t s p o o n) = x (d r o p)

Insert known values =>

1.0 \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 7.78866844846491 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \cdot 7.78866844846491 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \times 7.78866844846491 \times 10^{- 8} \times (m^{3})

Conversion Equation

1.18387760416667 \times 10^{- 5} = x \times 7.78866844846491 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

1.18387760416667 \times 10^{- 5} = x \times 7.78866844846491 \times {10^{- 8}}^{10^{- 3}}

Simplify

1.18387760416667 = x \times 7.78866844846491 \times 10^{- 3}

Switch sides

x \times 7.78866844846491 \times 10^{- 3} = 1.18387760416667

Isolate

x

Multiply both sides by

(\frac{1.0}{7.78866844846491 \times 10^{- 3}})

x \times 7.78866844846491 \times 10^{- 3} \times \frac{1.0}{7.78866844846491 \times 10^{- 3}} = 1.18387760416667 \times \frac{1.0}{7.78866844846491 \times 10^{- 3}}

Cancel

x \times 7.78866844846491 \times 10^{- 3} \times \frac{1.0}{7.78866844846491 \times 10^{- 3}} = 1.18387760416667 \times \frac{1.0}{7.78866844846491 \times 10^{- 3}}

Simplify

x = \frac{1.18387760416667}{7.78866844846491 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 1.18387760416667}{7.78866844846491}

Solve

x

x \approx 152 \approx 1.52 \times 10^{2}

Conversion Equation

1.0 (d e s s e r t s p o o n) \approx 1.52 \times 10^{2} (d r o p)

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