Convert tonne to assay ton

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

Calculation Breakdown

Set up the equation

1.0 (t o n n e) = x (a s s a y 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 (t o n n e) = 10^{3} (k i l o g r a m) = 10^{3} (k g)

Right side: 1.0 (a s s a y t o n) = \frac{49.0}{1.5 \times 10^{3}} (k i l o g r a m) = \frac{49.0}{1.5 \times 10^{3}} (k g)

Insert known values into the conversion equation to determine

x

1.0 (t o n n e) = x (a s s a y t o n)

Insert known values =>

1.0 \times 10^{3} \times (k i l o g r a m) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \cdot (k g) = x \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \cdot (k g) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k g)

Conversion Equation

10^{3} = x \times \frac{49.0}{1.5 \times 10^{3}}

Switch sides

x \times \frac{49.0}{1.5 \times 10^{3}} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.5 \times 10^{3}}{49.0})

x \times \frac{49.0}{1.5 \times 10^{3}} \times \frac{1.5 \times 10^{3}}{49.0} = 10^{3} \times \frac{1.5 \times 10^{3}}{49.0}

Cancel

x \times \frac{49.0 \times 1.5 \times 10^{3}}{1.5 \times 10^{3} \times 49.0} = 10^{3} \times \frac{1.5 \times 10^{3}}{49.0}

Simplify

x = \frac{10^{3} \times 1.5 \times 10^{3}}{49.0}

Solve

x

x \approx 30612.244898 \approx 3.0612 \times 10^{4}

Conversion Equation

1.0 (t o n n e) \approx 3.0612 \times 10^{4} (a s s a y t o n)

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