Convert hundredweight to jin(市斤)

Learn how to convert 1 hundredweight to jin(市斤) step by step.

Calculation Breakdown

Set up the equation

1.0 (h u n d r e d w e i g h t) = x (j i n (市 斤))

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 (h u n d r e d w e i g h t) = 50.80234544 (k i l o g r a m) = 50.80234544 (k g)

Right side: 1.0 (j i n (市 斤)) = 5.0 \times 10^{- 1} (k i l o g r a m) = 5.0 \times 10^{- 1} (k g)

Insert known values into the conversion equation to determine

x

1.0 (h u n d r e d w e i g h t) = x (j i n (市 斤))

Insert known values =>

1.0 \times 50.80234544 \times (k i l o g r a m) = x \times 5.0 \times 10^{- 1} \times (k i l o g r a m)

Or

1.0 \cdot 50.80234544 \cdot (k g) = x \cdot 5.0 \times 10^{- 1} \cdot (k g)

Cancel SI units

1.0 \times 50.80234544 \cdot (k g) = x \times 5.0 \times 10^{- 1} \times (k g)

Conversion Equation

50.80234544 = x \times 5.0 \times 10^{- 1}

Switch sides

x \times 5.0 \times 10^{- 1} = 50.80234544

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 1}})

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = 50.80234544 \times \frac{1.0}{5.0 \times 10^{- 1}}

Cancel

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = 50.80234544 \times \frac{1.0}{5.0 \times 10^{- 1}}

Simplify

x = \frac{50.80234544}{5.0 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 50.80234544}{5.0}

Solve

x

x = 101.60469088 \approx 1.016 \times 10^{2}

Conversion Equation

1.0 (h u n d r e d w e i g h t) \approx 1.016 \times 10^{2} (j i n (市 斤))

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