Convert pennyweight to ton

Learn how to convert 1 pennyweight to ton step by step.

Calculation Breakdown

Set up the equation

1.0 (p e n n y w e i g h t) = x (t o n)

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 (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)

Right side: 1.0 (t o n) = 1000.0 (k i l o g r a m) = 1000.0 (k g)

Insert known values into the conversion equation to determine

x

1.0 (p e n n y w e i g h t) = x (t o n)

Insert known values =>

1.0 \times 1.55517384 \times 10^{- 3} \times (k i l o g r a m) = x \times 1000.0 \times (k i l o g r a m)

Or

1.0 \cdot 1.55517384 \times 10^{- 3} \cdot (k g) = x \cdot 1000.0 \cdot (k g)

Cancel SI units

1.0 \times 1.55517384 \times 10^{- 3} \cdot (k g) = x \times 1000.0 \times (k g)

Conversion Equation

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{3}})

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

Cancel

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

Simplify

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

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

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

Simplify

x = 10^{- 6} \times 1.55517384

Solve

x

x \approx 0.0000015552 \approx 1.5552 \times 10^{- 6}

Conversion Equation

1.0 (p e n n y w e i g h t) \approx 1.5552 \times 10^{- 6} (t o n)

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