The problem asks to convert different mass units: a) Convert 28 kg to grams. b) Convert 324500 mg to grams. c) Convert 3 cg to hectograms. d) Convert 500 mg to grams. e) Convert 0.65 dag to milligrams.

1. Problem Description

The problem asks to convert different mass units:

a) Convert 28 kg to grams.

b) Convert 324500 mg to grams.

c) Convert 3 cg to hectograms.

d) Convert 500 mg to grams.

e) Convert 0.65 dag to milligrams.

2. Solution Steps

a) Convert 28 kg to grams:

We know that 1 kg = 1000 g.

Therefore, 28 kg = 28 * 1000 g = 28000 g.

b) Convert 324500 mg to grams:

We know that 1 g = 1000 mg, so 1 mg = $\frac{1}{1000}$ g = 0.001 g.

Therefore, 324500 mg = 324500 * 0.001 g = 324.5 g.

c) Convert 3 cg to hectograms:

We know the following relationships:

1 hg = 100 g

1 g = 100 cg

Therefore, 1 hg = 100 g = 100 * 100 cg = 10000 cg.

So, 1 cg = $\frac{1}{10000}$ hg = 0.0001 hg.

Therefore, 3 cg = 3 * 0.0001 hg = 0.0003 hg.

d) Convert 500 mg to grams:

We know that 1 g = 1000 mg, so 1 mg = $\frac{1}{1000}$ g = 0.001 g.

Therefore, 500 mg = 500 * 0.001 g = 0.5 g.

e) Convert 0.65 dag to milligrams:

We know the following relationships:

1 dag = 10 g

1 g = 1000 mg

Therefore, 1 dag = 10 * 1000 mg = 10000 mg.

So, 0.65 dag = 0.65 * 10000 mg = 6500 mg.

3. Final Answer

a) 28 kg = 28000 g

b) 324500 mg = 324.5 g

c) 3 cg = 0.0003 hg

d) 500 mg = 0.5 g

e) 0.65 dag = 6500 mg