Convert international unit to pennyweight

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

Calculation Breakdown

Set up the equation

1.0 (i n t e r n a t i o n a l u n i t) = x (p e n n y w e i g h 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 (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)

Right side: 1.0 (p e n n y w e i g h t) = 1.55517384 \times 10^{- 3} (k i l o g r a m) = 1.55517384 \times 10^{- 3} (k g)

Insert known values into the conversion equation to determine

x

1.0 (i n t e r n a t i o n a l u n i t) = x (p e n n y w e i g h t)

Insert known values =>

1.0 \times \frac{10^{- 6}}{660.0} \times (k i l o g r a m) = x \times 1.55517384 \times 10^{- 3} \times (k i l o g r a m)

Or

1.0 \cdot \frac{10^{- 6}}{660.0} \cdot (k g) = x \cdot 1.55517384 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times \frac{10^{- 6}}{660.0} \cdot (k g) = x \times 1.55517384 \times 10^{- 3} \times (k g)

Conversion Equation

\frac{10^{- 6}}{660.0} = x \times 1.55517384 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

\frac{{10^{- 6}}^{10^{- 3}}}{660.0} = x \times 1.55517384 \times 10^{- 3}

Simplify

\frac{10^{- 3}}{660.0} = x \times 1.55517384

Switch sides

x \times 1.55517384 = \frac{10^{- 3}}{660.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.55517384})

x \times 1.55517384 \times \frac{1.0}{1.55517384} = \frac{10^{- 3}}{660.0} \times \frac{1.0}{1.55517384}

Cancel

x \times 1.55517384 \times \frac{1.0}{1.55517384} = \frac{10^{- 3} \times 1.0}{660.0 \times 1.55517384}

Simplify

x = \frac{10^{- 3}}{660.0 \times 1.55517384}

Solve

x

x \approx 0.0000009743 \approx 9.7427 \times 10^{- 7}

Conversion Equation

1.0 (i n t e r n a t i o n a l u n i t) \approx 9.7427 \times 10^{- 7} (p e n n y w e i g h t)

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