High School

Convert the following:

1.1. 3 mg = ...... g
1.2. 64.7 t = ...... kg
1.3. 75 g = ...... kg
1.4. 28 g = ...... mg
1.5. 0.03 kg = ...... g
1.6. 84 kg = ...... t
1.7. 0.0002 t = ...... g
1.8. 1.492 mg = ...... kg
1.9. 89.3 kg = ...... mg
1.10. 49110763 mg = ...... t
1.11. 58 kg = ...... mg
1.12. 320 g = ...... t

Answer :

To convert between units of mass, it's important to know the basic conversion factors. Here are the key conversion factors we'll use in this exercise:

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

Using these, we can perform the conversions as follows:

  1. 3 mg = ...... g

    [tex]3 \, \text{mg} = \frac{3}{1000} \, \text{g} = 0.003 \, \text{g}[/tex]

  2. 64.7 t = ...... kg

    [tex]64.7 \, \text{t} = 64.7 \times 1000 \, \text{kg} = 64700 \, \text{kg}[/tex]

  3. 75 g = ...... kg

    [tex]75 \, \text{g} = \frac{75}{1000} \, \text{kg} = 0.075 \, \text{kg}[/tex]

  4. 28 g = ...... mg

    [tex]28 \, \text{g} = 28 \times 1000 \, \text{mg} = 28000 \, \text{mg}[/tex]

  5. 0.03 kg = ...... g

    [tex]0.03 \, \text{kg} = 0.03 \times 1000 \, \text{g} = 30 \, \text{g}[/tex]

  6. 84 kg = ...... t

    [tex]84 \, \text{kg} = \frac{84}{1000} \, \text{t} = 0.084 \, \text{t}[/tex]

  7. 0.0002 t = ...... g

    [tex]0.0002 \, \text{t} = 0.0002 \times 1000 \times 1000 \, \text{g} = 200 \, \text{g}[/tex]

  8. 1.492 mg = ...... kg

    [tex]1.492 \, \text{mg} = \frac{1.492}{1000 \times 1000} \, \text{kg} = 0.000001492 \, \text{kg}[/tex]

  9. 89.3 kg = ...... mg

    [tex]89.3 \, \text{kg} = 89.3 \times 1000 \times 1000 \, \text{mg} = 89300000 \, \text{mg}[/tex]

  10. 49110763 mg = ...... t

    [tex]49110763 \, \text{mg} = \frac{49110763}{1000 \times 1000 \times 1000} \, \text{t} = 0.049110763 \, \text{t}[/tex]

  11. 58 kg = ...... mg

    [tex]58 \, \text{kg} = 58 \times 1000 \times 1000 \, \text{mg} = 58000000 \, \text{mg}[/tex]

  12. 320 g = ...... t

    [tex]320 \, \text{g} = \frac{320}{1000 \times 1000} \, \text{t} = 0.00032 \, \text{t}[/tex]

Understanding these conversion factors allows you to convert between various units of mass accurately.