Convert gamma to gros

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

Calculation Breakdown

Set up the equation

1.0 (g a m m a) = x (g r o s)

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 (g r o s) = 3.8242264 (k i l o g r a m) = 3.8242264 (k g)

Insert known values into the conversion equation to determine

x

1.0 (g a m m a) = x (g r o s)

Insert known values =>

1.0 \times 10^{- 9} \times (k i l o g r a m) = x \times 3.8242264 \times (k i l o g r a m)

Or

1.0 \cdot 10^{- 9} \cdot (k g) = x \cdot 3.8242264 \cdot (k g)

Cancel SI units

1.0 \times 10^{- 9} \cdot (k g) = x \times 3.8242264 \times (k g)

Conversion Equation

10^{- 9} = x \times 3.8242264

Switch sides

x \times 3.8242264 = 10^{- 9}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.8242264})

x \times 3.8242264 \times \frac{1.0}{3.8242264} = 10^{- 9} \times \frac{1.0}{3.8242264}

Cancel

x \times 3.8242264 \times \frac{1.0}{3.8242264} = 10^{- 9} \times \frac{1.0}{3.8242264}

Simplify

x = \frac{10^{- 9}}{3.8242264}

Solve

x

x \approx 0.0000000003 \approx 2.6149 \times 10^{- 10}

Conversion Equation

1.0 (g a m m a) \approx 2.6149 \times 10^{- 10} (g r o s)

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