Convert gamma to sack

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

Calculation Breakdown

Set up the equation

1.0 (g a m m a) = x (s a c k)

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 (s a c k) = 45.36 (k i l o g r a m) = 45.36 (k g)

Insert known values into the conversion equation to determine

x

1.0 (g a m m a) = x (s a c k)

Insert known values =>

1.0 \times 10^{- 9} \times (k i l o g r a m) = x \times 45.36 \times (k i l o g r a m)

Or

1.0 \cdot 10^{- 9} \cdot (k g) = x \cdot 45.36 \cdot (k g)

Cancel SI units

1.0 \times 10^{- 9} \cdot (k g) = x \times 45.36 \times (k g)

Conversion Equation

10^{- 9} = x \times 45.36

Switch sides

x \times 45.36 = 10^{- 9}

Isolate

x

Multiply both sides by

(\frac{1.0}{45.36})

x \times 45.36 \times \frac{1.0}{45.36} = 10^{- 9} \times \frac{1.0}{45.36}

Cancel

x \times 45.36 \times \frac{1.0}{45.36} = 10^{- 9} \times \frac{1.0}{45.36}

Simplify

x = \frac{10^{- 9}}{45.36}

Solve

x

x \approx 2.2045855379 \times 10^{- 11} \approx 2.2046 \times 10^{- 11}

Conversion Equation

1.0 (g a m m a) \approx 2.2046 \times 10^{- 11} (s a c k)

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