Convert gamma to ton

Learn how to convert 1 gamma to ton step by step.

Calculation Breakdown

Set up the equation

1.0 (g a m m a) = x (t o n)

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

(k i l o g r a m)

Left side: 1.0 (g a m m a) = 10^{- 9} (k i l o g r a m) = 10^{- 9} (k g)

Right side: 1.0 (t o n) = 10^{3} (k i l o g r a m) = 10^{3} (k g)

Insert known values into the conversion equation to determine

x

1.0 (g a m m a) = x (t o n)

Insert known values =>

1.0 \times 10^{- 9} \times (k i l o g r a m) = x \times 10^{3} \times (k i l o g r a m)

Or

1.0 \cdot 10^{- 9} \cdot (k g) = x \cdot 10^{3} \cdot (k g)

Cancel SI units

1.0 \times 10^{- 9} \cdot (k g) = x \times 10^{3} \times (k g)

Conversion Equation

10^{- 9} = x \times 10^{3}

Switch sides

x \times 10^{3} = 10^{- 9}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{3}})

x \times 10^{3} \times \frac{1.0}{10^{3}} = 10^{- 9} \times \frac{1.0}{10^{3}}

Cancel

x \times 10^{3} \times \frac{1.0}{10^{3}} = 10^{- 9} \times \frac{1.0}{10^{3}}

Simplify

x = \frac{10^{- 9}}{10^{3}}

Rewrite equation

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

Rewrite

x = 10^{- 3} \times 10^{- 9}

Simplify

x = 10^{- 12}

Solve

x

x = 10^{- 12}

Conversion Equation

1.0 (g a m m a) = 10^{- 12} (t o n)

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