Convert zhang(丈) to mo(毛)

Learn how to convert 1 zhang(丈) to mo(毛) step by step.

Calculation Breakdown

Set up the equation

1.0 (z h a n g (丈)) = x (m o (毛))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (z h a n g (丈)) = \frac{10.0}{3.0} (m e t e r) = \frac{10.0}{3.0} (m)

Right side: 1.0 (m o (毛)) = \frac{1.0}{3.3 \times 10^{4}} (m e t e r) = \frac{1.0}{3.3 \times 10^{4}} (m)

Insert known values into the conversion equation to determine

x

1.0 (z h a n g (丈)) = x (m o (毛))

Insert known values =>

1.0 \times \frac{10.0}{3.0} \times (m e t e r) = x \times \frac{1.0}{3.3 \times 10^{4}} \times (m e t e r)

Or

1.0 \cdot \frac{10.0}{3.0} \cdot (m) = x \cdot \frac{1.0}{3.3 \times 10^{4}} \cdot (m)

Cancel SI units

1.0 \times \frac{10.0}{3.0} \cdot (m) = x \times \frac{1.0}{3.3 \times 10^{4}} \times (m)

Conversion Equation

\frac{10.0}{3.0} = x \times \frac{1.0}{3.3 \times 10^{4}}

Switch sides

x \times \frac{1.0}{3.3 \times 10^{4}} = \frac{10.0}{3.0}

Isolate

x

Multiply both sides by

(\frac{3.3 \times 10^{4}}{1.0})

x \times \frac{1.0}{3.3 \times 10^{4}} \times \frac{3.3 \times 10^{4}}{1.0} = \frac{10.0}{3.0} \times \frac{3.3 \times 10^{4}}{1.0}

Cancel

x \times \frac{1.0 \times 3.3 \times 10^{4}}{3.3 \times 10^{4} \times 1.0} = \frac{10.0 \times 3.3 \times 10^{4}}{3.0 \times 1.0}

Simplify

x = \frac{10.0 \times 3.3 \times 10^{4}}{3.0}

Solve

x

x = 110000 = 1.1 \times 10^{5}

Conversion Equation

1.0 (z h a n g (丈)) = 1.1 \times 10^{5} (m o (毛))

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