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Converting and Calculating Units of Mass

🎬 Video Tutorial

What are Metric Units of Mass? (0:01)

Metric units of mass are used to measure the weight of objects accurately. The most common mass units are:

  • Milligrams (mg): The smallest unit here, used for tiny objects like medicine pills.
    1 mg is about the weight of a grain of sand.
  • Grams (g): Common for measuring food and small household items.
    1 g is about the weight of a paperclip.
  • Kilograms (kg): Used for measuring people, cargo, or larger objects.
    1 kg is about the weight of a bag of rice.
  • Tons (t): Used for very heavy objects like vehicles or shipping containers.
    1 t is about the weight of a small car.

How to Convert Between Units of Mass? (1:30)

To convert between mass units:

  • Multiply by 1,000 when moving to a larger unit (mg → g → kg → t).
  • Divide by 1,000 when moving to a smaller unit (t → kg → g → mg).

You need to remember these key conversions between units of mass:

  • 1 mg = 0.001 g
  • 1 g = 1,000 mg
  • 1 kg = 1,000 g
  • 1 t = 1,000 kg

Example 1: Converting 21 kilograms to grams

  1. Kilograms to grams → Multiply by 1,000 (since 1 kg = 1,000 g).
  2. $21 \times 1000 = 21,000$
  3. So, 21 kilograms = 21,000 grams ✅

Example 2: Converting 560 kilograms to tonnes

  1. Kilograms to tonnes → Divide by 1,000 (since 1 t = 1,000 kg).
  2. $560 \div 1000 = 0.56$
  3. So, 560 kilograms = 0.56 tonnes ✅

How to Calculate with Different Units of Mass? (2:25)

When performing calculations with different mass units, convert to the same unit first.

Example 1: Adding 3.25 kg and 30 g

  1. Convert 30 g to kg:
    $30 \text{ g} = 0.03 \text{ kg}$
  2. Add the values in kilograms:
    $3.25 \text{ kg} + 0.03 \text{ kg} = 3.28 \text{ kg}$
  3. Final Answer: 3.28 kg ✅

Example 2: Subtracting 30 g from 3.25 kg

  1. Convert 3.25 kg to g:
    $3.25 \text{ kg} = 3250 \text{ g}$
  2. Subtract the values in grams:
    $3250 \text{ g} – 30 \text{ g} = 3220 \text{ g}$
  3. (Optional) Convert back to kg:
    $3220 \text{ g} = 3.22 \text{ kg}$
  4. Final Answer: 3.22 kg ✅

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