Convert assay ton to hyakume(百目)

Learn how to convert 1 assay ton to hyakume(百目) step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (h y a k u m e (百 目))

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{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)

Right side: 1.0 (h y a k u m e (百 目)) = \frac{3.0}{8.0} (k i l o g r a m) = \frac{3.0}{8.0} (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (h y a k u m e (百 目))

Insert known values =>

1.0 \times \frac{49.0}{1.5 \times 10^{3}} \times (k i l o g r a m) = x \times \frac{3.0}{8.0} \times (k i l o g r a m)

Or

1.0 \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g) = x \cdot \frac{3.0}{8.0} \cdot (k g)

Cancel SI units

1.0 \times \frac{49.0}{1.5 \times 10^{3}} \cdot (k g) = x \times \frac{3.0}{8.0} \times (k g)

Conversion Equation

\frac{49.0}{1.5 \times 10^{3}} = x \times \frac{3.0}{8.0}

Switch sides

x \times \frac{3.0}{8.0} = \frac{49.0}{1.5 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{8.0}{3.0})

x \times \frac{3.0}{8.0} \times \frac{8.0}{3.0} = \frac{49.0}{1.5 \times 10^{3}} \times \frac{8.0}{3.0}

Cancel

x \times \frac{3.0 \times 8.0}{8.0 \times 3.0} = \frac{49.0 \times 8.0}{1.5 \times 10^{3} \times 3.0}

Simplify

x = \frac{49.0 \times 8.0}{1.5 \times 10^{3} \times 3.0}

Rewrite equation

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

Rewrite

x = \frac{10^{- 3} \times 49.0 \times 8.0}{1.5 \times 3.0}

Solve

x

x \approx 0.0871111111 \approx 8.7111 \times 10^{- 2}

Conversion Equation

1.0 (a s s a y t o n) \approx 8.7111 \times 10^{- 2} (h y a k u m e (百 目))

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