Question

3. Convert the following masses.
a) 5 kg 5 hg 3 dag 7 g into g
c) 1 kg 2 dag 7 dg into dg
e) 6g 15 mg into mg​

Answer 1

Answer:

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Answer 2

Answer: a) To convert all units to grammes, multiply each unit by its conversion factor, add the resulting values, and then divide by the number of grammes.

(1 kilogramme = 1,000 g), 5 kg equals 5,000 g.

One hg weighs 100 grammes, or 5 hg.

1 dag Equals 10 grammes, 3 dag = 30 grammes.

7 g = 7 g

Total mass equals 5,000 g plus 500 g plus 30 g plus 7 g, or 5,537 g.

Thus, 5,537 g is equivalent to 5 kg 5 hg 3 dag 7 g.

c) To convert all units to decigrams, we must multiply each unit by its conversion factor, sum the resultant values, and then divide the result by the total number of units:

10,000 dg per kilogramme (1 kg = 10,000 dg)

(1 dag = 0.1 dg), 2 dag = 2 dg.

7 dg = 7 dg

Total mass is 10,000 g plus 2 g and 7 g, or 10,009 g.

As a result, 1 kg = 2 dag 7 dag = 10,099 dag.

e) To convert all units to milligrammes, multiply each unit by its conversion factor, combine the resultant values, and then multiply the sum by the number of units:

1 g equals 1,000 mg, thus 6 g = 6,000 mg

15 mg = 15 mg

Total mass is 6,015 mg (6,000 mg plus 15 mg).

6g 15 mg is therefore equivalent to 6,015 mg.

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