Convert kilogram to international unit

Learn how to convert 1 kilogram to international unit step by step.

Calculation Breakdown

Set up the equation

1.0 (k i l o g r a m) = x (i n t e r n a t i o n a l u n i t)

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 r a m) = 10^{- 3} (k i l o g r a m) = 10^{- 3} (k g)

Right side: 1.0 (i n t e r n a t i o n a l u n i t) = \frac{10^{- 6}}{660.0} (k i l o g r a m) = \frac{10^{- 6}}{660.0} (k g)

Define the values of the selected prefixes

Left side: k i l o = k = 10^{3}

Insert known values into the conversion equation to determine

x

1.0 (k i l o g r a m) = x (i n t e r n a t i o n a l u n i t)

Insert known values =>

1.0 \times 10^{3} \times 10^{- 3} \times (k i l o g r a m) = x \times \frac{10^{- 6}}{660.0} \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \times 10^{- 3} \cdot (k g) = x \cdot \frac{10^{- 6}}{660.0} \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \times 10^{- 3} \cdot (k g) = x \times \frac{10^{- 6}}{660.0} \times (k g)

Conversion Equation

10^{3} \times 10^{- 3} = x \times \frac{10^{- 6}}{660.0}

Simplify

1.0 = x \times \frac{10^{- 6}}{660.0}

Switch sides

x \times \frac{10^{- 6}}{660.0} = 1.0

Isolate

x

Multiply both sides by

(\frac{660.0}{10^{- 6}})

x \times \frac{10^{- 6}}{660.0} \times \frac{660.0}{10^{- 6}} = 1.0 \times \frac{660.0}{10^{- 6}}

Cancel

x \times \frac{10^{- 6} \times 660.0}{660.0 \times 10^{- 6}} = 1.0 \times \frac{660.0}{10^{- 6}}

Simplify

x = \frac{660.0}{10^{- 6}}

Rewrite equation

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

Rewrite

x = 10^{6} \times 660.0

Solve

x

x = 660000000 = 6.6 \times 10^{8}

Conversion Equation

1.0 (k i l o g r a m) = 6.6 \times 10^{8} (i n t e r n a t i o n a l u n i t)

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