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meerkat18
we are given the data of recommended daily allowance (RDA) of magnesium of 410 mg/day and is asked to convert it into μg/day. In this regard, 1 mg is equal to 1000 μg. Hence, the answer to this problem is 4.1 x 10^5 μg/day. The value is expected to increase since μg is lower in value than mg.  
mariejoepagaduan

The recommended daily allowance (RDA) of the trace metal magnesium is 4.1 x 10^5 μg/day or 410 mg/day.  

Further Explanation:

This is an example of a unit conversion problem. To solve this, recall the following conversion factors:

1 g = 1000 mg

1 g = 1,000,000 μg

To convert the given RDA, the following steps may be carried out:

  1. Convert mg to g.
  2. Convert g to μg.

STEP 1: Convert mg to g.

[tex]RDA \ in \ \frac{grams}{day} \ = (\frac{410 \ mg}{1 day})(\frac{1 \ g}{1000 \ mg})\\\\RDA \ in \ \frac{grams}{day} \ = 0.4 \ \frac{grams}{day}[/tex]

STEP 2: Convert g to μg.

[tex]RDA \ in \ \frac{ \mu g}{day} \ = (\frac{0.41 \ g}{1 \ day}) (\frac{1,000,000 \mu g}{1 \ g})\\  \\\boxed {RDA \ in \ \frac{ \mu g}{day} \ = \ 4.1 \ x \ 10^{5} \frac{\mu g}{day}}[/tex]

Alternatively, the following solution may be used.

[tex]RDA \ in \ \frac{\mu g}{day} = 410 \ \frac{mg}{day} \ (\frac{1000 \ \mu g}{1 \ mg})\\\\\boxed {RDA \ in \ \frac{\mu g}{day} = \ 4.1 \ x \ 10^{5} \frac{\mu g}{day}}[/tex]

Learn More

  1. Learn more about Metric Conversion https://brainly.com/question/10943201
  2. Learn more about SI units https://brainly.com/question/10928588
  3. Learn more about dimensional analysis https://brainly.com/question/1557970

Keywords: unit conversion, dimensional analysis

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