High School

Convert the following:

1. 3 mg = ... g

2. 64.7 t = ... kg

3. 58 kg = ... mg

4. 75 g = ... kg

5. 28 g = ... mg

6. 320 g = ... t

7. 0.03 kg = ... g

8. 84 kg = ... t

9. 0.0002 t = ... g

10. 1.492 mg = ... kg

11. 89.3 kg = ... mg

12. 49110763 mg = ... t

Answer :

To convert units in the metric system, it's important to understand the basic relationships:

  • 1 gram (g) = 1,000 milligrams (mg)
  • 1 kilogram (kg) = 1,000 grams (g)
  • 1 tonne (t) = 1,000 kilograms (kg)

Now, let's convert each item step by step:

  1. [tex]3\ \text{mg} = 0.003\ \text{g}[/tex]

    To convert milligrams to grams, divide by 1,000.

  2. [tex]64.7\ \text{t} = 64,700\ \text{kg}[/tex]

    To convert tonnes to kilograms, multiply by 1,000.

  3. [tex]58\ \text{kg} = 58,000,000\ \text{mg}[/tex]

    First, convert kilograms to grams by multiplying by 1,000, then convert grams to milligrams by multiplying by 1,000 again.

  4. [tex]75\ \text{g} = 0.075\ \text{kg}[/tex]

    To convert grams to kilograms, divide by 1,000.

  5. [tex]28\ \text{g} = 28,000\ \text{mg}[/tex]

    To convert grams to milligrams, multiply by 1,000.

  6. [tex]320\ \text{g} = 0.00032\ \text{t}[/tex]

    First, convert grams to kilograms by dividing by 1,000, and then kilograms to tonnes by dividing by 1,000.

  7. [tex]0.03\ \text{kg} = 30\ \text{g}[/tex]

    To convert kilograms to grams, multiply by 1,000.

  8. [tex]84\ \text{kg} = 0.084\ \text{t}[/tex]

    To convert kilograms to tonnes, divide by 1,000.

  9. [tex]0.0002\ \text{t} = 200\ \text{g}[/tex]

    First, convert tonnes to kilograms by multiplying by 1,000, then kilograms to grams.

  10. [tex]1.492\ \text{mg} = 0.000001492\ \text{kg}[/tex]

    Convert milligrams to grams then grams to kilograms.

  11. [tex]89.3\ \text{kg} = 89,300,000\ \text{mg}[/tex]

    First, convert kilograms to grams and then grams to milligrams.

  12. [tex]49110763\ \text{mg} = 0.049110763\ \text{t}[/tex]

    Convert milligrams to grams, then grams to kilograms, and finally kilograms to tonnes.

I hope this helps you understand how to convert between these units!