Convert gamma to li(市厘)

Learn how to convert 1 gamma to li(市厘) step by step.

Calculation Breakdown

Set up the equation

1.0 (g a m m a) = x (l i (市 厘))

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 (l i (市 厘)) = 5.0 \times 10^{- 5} (k i l o g r a m) = 5.0 \times 10^{- 5} (k g)

Insert known values into the conversion equation to determine

x

1.0 (g a m m a) = x (l i (市 厘))

Insert known values =>

1.0 \times 10^{- 9} \times (k i l o g r a m) = x \times 5.0 \times 10^{- 5} \times (k i l o g r a m)

Or

1.0 \cdot 10^{- 9} \cdot (k g) = x \cdot 5.0 \times 10^{- 5} \cdot (k g)

Cancel SI units

1.0 \times 10^{- 9} \cdot (k g) = x \times 5.0 \times 10^{- 5} \times (k g)

Conversion Equation

10^{- 9} = x \times 5.0 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

{10^{- 9}}^{10^{- 4}} = x \times 5.0 \times 10^{- 5}

Simplify

10^{- 4} = x \times 5.0

Switch sides

x \times 5.0 = 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0})

x \times 5.0 \times \frac{1.0}{5.0} = 10^{- 4} \times \frac{1.0}{5.0}

Cancel

x \times 5.0 \times \frac{1.0}{5.0} = 10^{- 4} \times \frac{1.0}{5.0}

Simplify

x = \frac{10^{- 4}}{5.0}

Solve

x

x = 2 \times 10^{- 5}

Conversion Equation

1.0 (g a m m a) = 2 \times 10^{- 5} (l i (市 厘))

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