Convert teaspoon to gallon

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

Calculation Breakdown

Set up the equation

1.0 (t e a s p o o n) = x (g a l l o n)

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 (t e a s p o o n) = 5.0 \times 10^{- 6} (c u b i c m e t e r) = 5.0 \times 10^{- 6} (m^{3})

Right side: 1.0 (g a l l o n) = 4.621152048 \times 10^{- 3} (c u b i c m e t e r) = 4.621152048 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (t e a s p o o n) = x (g a l l o n)

Insert known values =>

1.0 \times 5.0 \times 10^{- 6} \times (c u b i c m e t e r) = x \times 4.621152048 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 5.0 \times 10^{- 6} \cdot (m^{3}) = x \cdot 4.621152048 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 5.0 \times 10^{- 6} \cdot (m^{3}) = x \times 4.621152048 \times 10^{- 3} \times (m^{3})

Conversion Equation

5.0 \times 10^{- 6} = x \times 4.621152048 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

5.0 \times {10^{- 6}}^{10^{- 3}} = x \times 4.621152048 \times 10^{- 3}

Simplify

5.0 \times 10^{- 3} = x \times 4.621152048

Switch sides

x \times 4.621152048 = 5.0 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.621152048})

x \times 4.621152048 \times \frac{1.0}{4.621152048} = 5.0 \times 10^{- 3} \times \frac{1.0}{4.621152048}

Cancel

x \times 4.621152048 \times \frac{1.0}{4.621152048} = 5.0 \times 10^{- 3} \times \frac{1.0}{4.621152048}

Simplify

x = \frac{5.0 \times 10^{- 3}}{4.621152048}

Solve

x

x \approx 0.0010819813 \approx 1.082 \times 10^{- 3}

Conversion Equation

1.0 (t e a s p o o n) \approx 1.082 \times 10^{- 3} (g a l l o n)

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