Convert li(公里) to palm

Learn how to convert 1 li(公里) to palm step by step.

Calculation Breakdown

Set up the equation

1.0 (l i (公 里)) = x (p a l m)

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

(m e t e r)

Left side: 1.0 (l i (公 里)) = 10^{3} (m e t e r) = 10^{3} (m)

Right side: 1.0 (p a l m) = 7.62 \times 10^{- 2} (m e t e r) = 7.62 \times 10^{- 2} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i (公 里)) = x (p a l m)

Insert known values =>

1.0 \times 10^{3} \times (m e t e r) = x \times 7.62 \times 10^{- 2} \times (m e t e r)

Or

1.0 \cdot 10^{3} \cdot (m) = x \cdot 7.62 \times 10^{- 2} \cdot (m)

Cancel SI units

1.0 \times 10^{3} \cdot (m) = x \times 7.62 \times 10^{- 2} \times (m)

Conversion Equation

10^{3} = x \times 7.62 \times 10^{- 2}

Switch sides

x \times 7.62 \times 10^{- 2} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.62 \times 10^{- 2}})

x \times 7.62 \times 10^{- 2} \times \frac{1.0}{7.62 \times 10^{- 2}} = 10^{3} \times \frac{1.0}{7.62 \times 10^{- 2}}

Cancel

x \times 7.62 \times 10^{- 2} \times \frac{1.0}{7.62 \times 10^{- 2}} = 10^{3} \times \frac{1.0}{7.62 \times 10^{- 2}}

Simplify

x = \frac{10^{3}}{7.62 \times 10^{- 2}}

Rewrite equation

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

Rewrite

x = \frac{10^{2} \times 10^{3}}{7.62}

Simplify

x = \frac{10^{5}}{7.62}

Solve

x

x \approx 13123.35958 \approx 1.3123 \times 10^{4}

Conversion Equation

1.0 (l i (公 里)) \approx 1.3123 \times 10^{4} (p a l m)

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