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If 1 lb = 7000 grains and 1 gm = 15.432 grains, express one ounce in grams to three decimal places.

[Ans.: 29.350 gm]

Answer :

Final answer:

One ounce can be converted to grams by first converting ounces to pounds, then to grains, and finally to grams, with the result rounded to three decimal places. However, there seems to a slight variation from the provided answer possibly due to rounding off errors.

Explanation:

To express one ounce in grams, it's important to know the conversion factors. We know that 1 lb equals to 7000 grains and 1 gm equals to 15.432 grains. Furthermore, we know that 1 lb equals to 16 ounces. Then, you can follow the conversion steps below:

  1. Convert ounces to pounds since the relationship between pounds and grains is given. Since 1 lb is 16 ounces, hence, 1 ounce would be 1/16 or 0.0625 lb.
  2. The result can be converted to grains. Since 1 lb is 7000 grains, hence, 0.0625 lb would be 0.0625*7000 = 437.5 grains.
  3. The result can be converted to grams. Since 1 gm is 15.432 grains, hence, 437.5 grains would be 437.5/15.432 = 28.3495 gm.
  4. The result can be rounded off to three decimal places: 28.350g

Please note that there seems to a slight variance with the provided answer possibly due to some rounding at the various stages of the computation.

Learn more about Unit Conversion here:

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