Convert assay ton to mic

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

Calculation Breakdown

Set up the equation

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

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 (m i c) = 10^{- 9} (k i l o g r a m) = 10^{- 9} (k g)

Insert known values into the conversion equation to determine

x

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

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 10^{- 9} \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 10^{- 9} \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times 10^{- 9} \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times 10^{- 9}

Switch sides

x \times 10^{- 9} = \frac{7.0}{2.4 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 9}})

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = \frac{7.0}{2.4 \times 10^{2}} \times \frac{1.0}{10^{- 9}}

Cancel

x \times 10^{- 9} \times \frac{1.0}{10^{- 9}} = \frac{7.0 \times 1.0}{2.4 \times 10^{2} \times {10^{- 9}}^{10^{- 7}}}

Simplify

x = \frac{7.0}{2.4 \times 10^{- 7}}

Rewrite equation

\frac{1.0}{10^{- 7}} can be rewritten to 10^{7}

Rewrite

x = \frac{10^{7} \times 7.0}{2.4}

Solve

x

x \approx 29166666.667 \approx 2.9167 \times 10^{7}

Conversion Equation

1.0 (a s s a y t o n) \approx 2.9167 \times 10^{7} (m i c)

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