Convert rebah to gamma

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

Calculation Breakdown

Set up the equation

1.0 (r e b a h) = x (g a m m a)

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 (r e b a h) = 4.08233133 \times 10^{- 3} (k i l o g r a m) = 4.08233133 \times 10^{- 3} (k g)

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

Insert known values into the conversion equation to determine

x

1.0 (r e b a h) = x (g a m m a)

Insert known values =>

1.0 \times 4.08233133 \times 10^{- 3} \times (k i l o g r a m) = x \times 10^{- 9} \times (k i l o g r a m)

Or

1.0 \cdot 4.08233133 \times 10^{- 3} \cdot (k g) = x \cdot 10^{- 9} \cdot (k g)

Cancel SI units

1.0 \times 4.08233133 \times 10^{- 3} \cdot (k g) = x \times 10^{- 9} \times (k g)

Conversion Equation

4.08233133 \times 10^{- 3} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

4.08233133 \times 10^{- 3} = x \times {10^{- 9}}^{10^{- 6}}

Simplify

4.08233133 = x \times 10^{- 6}

Switch sides

x \times 10^{- 6} = 4.08233133

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 6}})

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 4.08233133 \times \frac{1.0}{10^{- 6}}

Cancel

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 4.08233133 \times \frac{1.0}{10^{- 6}}

Simplify

x = \frac{4.08233133}{10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = 10^{6} \times 4.08233133

Solve

x

x = 4082331.33 \approx 4.0823 \times 10^{6}

Conversion Equation

1.0 (r e b a h) \approx 4.0823 \times 10^{6} (g a m m a)

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