Convert assay ton to sack

Learn how to convert 1 assay ton to sack step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (s a c k)

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 (a s s a y t o n) = \frac{7.0}{2.4 \times 10^{2}} (k i l o g r a m) = \frac{7.0}{2.4 \times 10^{2}} (k g)

Right side: 1.0 (s a c k) = 45.36 (k i l o g r a m) = 45.36 (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (s a c k)

Insert known values =>

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \times (k i l o g r a m) = x \times 45.36 \times (k i l o g r a m)

Or

1.0 \cdot \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \cdot 45.36 \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times 45.36 \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times 45.36

Switch sides

x \times 45.36 = \frac{7.0}{2.4 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{45.36})

x \times 45.36 \times \frac{1.0}{45.36} = \frac{7.0}{2.4 \times 10^{2}} \times \frac{1.0}{45.36}

Cancel

x \times 45.36 \times \frac{1.0}{45.36} = \frac{7.0 \times 1.0}{2.4 \times 10^{2} \times 45.36}

Simplify

x = \frac{7.0}{2.4 \times 10^{2} \times 45.36}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 7.0}{2.4 \times 45.36}

Solve

x

x \approx 0.0006430041 \approx 6.43 \times 10^{- 4}

Conversion Equation

1.0 (a s s a y t o n) \approx 6.43 \times 10^{- 4} (s a c k)

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