Convert tan(担) to gamma

Learn how to convert 1 tan(担) to gamma step by step.

Calculation Breakdown

Set up the equation

1.0 (t a n (担)) = 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 (t a n (担)) = 60.0 (k i l o g r a m) = 60.0 (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 (t a n (担)) = x (g a m m a)

Insert known values =>

1.0 \times 60.0 \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 60.0 \cdot (k g) = x \cdot 10^{- 9} \cdot (k g)

Cancel SI units

1.0 \times 60.0 \cdot (k g) = x \times 10^{- 9} \times (k g)

Conversion Equation

60.0 = x \times 10^{- 9}

Switch sides

x \times 10^{- 9} = 60.0

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 9}})

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = 60.0 \times \frac{1.0}{10^{- 9}}

Cancel

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = 60.0 \times \frac{1.0}{10^{- 9}}

Simplify

x = \frac{60.0}{10^{- 9}}

Rewrite equation

\frac{1.0}{10^{- 9}} can be rewritten to 10^{9}

Rewrite

x = 10^{9} \times 60.0

Solve

x

x = 60000000000 = 6 \times 10^{10}

Conversion Equation

1.0 (t a n (担)) = 6 \times 10^{10} (g a m m a)

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