Convert jin(市斤) to grain

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

Calculation Breakdown

Set up the equation

1.0 (j i n (市 斤)) = x (g r a i n)

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 (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)

Right side: 1.0 (g r a i n) = 6.479891 \times 10^{- 5} (k i l o g r a m) = 6.479891 \times 10^{- 5} (k g)

Insert known values into the conversion equation to determine

x

1.0 (j i n (市 斤)) = x (g r a i n)

Insert known values =>

1.0 \times 5.0 \times 10^{- 1} \times (k i l o g r a m) = x \times 6.479891 \times 10^{- 5} \times (k i l o g r a m)

Or

1.0 \cdot 5.0 \times 10^{- 1} \cdot (k g) = x \cdot 6.479891 \times 10^{- 5} \cdot (k g)

Cancel SI units

1.0 \times 5.0 \times 10^{- 1} \cdot (k g) = x \times 6.479891 \times 10^{- 5} \times (k g)

Conversion Equation

5.0 \times 10^{- 1} = x \times 6.479891 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

5.0 \times 10^{- 1} = x \times 6.479891 \times {10^{- 5}}^{10^{- 4}}

Simplify

5.0 = x \times 6.479891 \times 10^{- 4}

Switch sides

x \times 6.479891 \times 10^{- 4} = 5.0

Isolate

x

Multiply both sides by

(\frac{1.0}{6.479891 \times 10^{- 4}})

x \times 6.479891 \times 10^{- 4} \times \frac{1.0}{6.479891 \times 10^{- 4}} = 5.0 \times \frac{1.0}{6.479891 \times 10^{- 4}}

Cancel

x \times 6.479891 \times 10^{- 4} \times \frac{1.0}{6.479891 \times 10^{- 4}} = 5.0 \times \frac{1.0}{6.479891 \times 10^{- 4}}

Simplify

x = \frac{5.0}{6.479891 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 5.0}{6.479891}

Solve

x

x \approx 7716.1791765 \approx 7.7162 \times 10^{3}

Conversion Equation

1.0 (j i n (市 斤)) \approx 7.7162 \times 10^{3} (g r a i n)

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