Weight — g and kg
Measurement: Weight — g and kg
Weight — g and kg
Weight — g and kg
What you'll learn
- Understand the relationship 1 kg = 1,000 g.
- Add and compare weights given in kilograms and grams.
- Solve everyday weight word problems (groceries, parcels, fruits).
Key concepts
Level 1 — Units of weight
Verbal: Light objects (a pencil, an apple) are weighed in grams (g); heavier objects (a bag of rice, a person) are weighed in kilograms (kg).
Level 2 — Converting kilograms to grams
Symbolic: 4 kg = 4 × 1,000 = 4,000 g. 4 kg 350 g = 4,000 + 350 = 4,350 g.
Level 3 — Adding weights
Example: A bag of rice weighs 2 kg 500 g and a bag of sugar weighs 1 kg 750 g. Total in grams = 2,500 g + 1,750 g = 4,250 g = 4 kg 250 g.
Level 4 — Comparing weights
Example: Box A = 2,300 g, Box B = 2 kg 100 g = 2,100 g. Box A is heavier by 2,300 − 2,100 = 200 g.
NCERT anchor: Math-Magic 4, Ch 12 — How Heavy? How Light? (comparing and measuring weight).
Worked example
A watermelon weighs 3 kg 250 g and a papaya weighs 1 kg 600 g. What is their total weight?
Step 1 — Convert both to grams: 3,250 g and 1,600 g.
Step 2 — Add: 3,250 + 1,600 = 4,850 g.
Step 3 — Convert back: 4,850 g = 4 kg 850 g.
Answer: 4 kg 850 g.
Common mistakes
| Mistake | Why it happens | Fix |
|---|---|---|
| Using 1 kg = 100 g | Confusing with money (100 paise) | Always remember 1 kg = 1,000 g |
| Adding kg and g columns without converting | Treating mixed units as one number | Convert fully to grams (or fully to kg) before adding |
| Comparing "2,300 g" and "2 kg 100 g" without converting | Comparing different units directly | Convert both to the same unit first |
| Forgetting to convert grams over 1,000 back to kg | Leaving the answer as raw grams | Divide by 1,000 to express as kg and g |
Quick check
- 6 kg = ___ g (6,000 g)
- 3 kg 400 g = ___ g (3,400 g)
- 5,200 g = ___ kg ___ g (5 kg 200 g)
- Which is heavier: 1,800 g or 1 kg 900 g? (1 kg 900 g = 1,900 g is heavier)
- Stretch: A shopkeeper has 10 kg of flour. He sells 3 kg 600 g in the morning and 2 kg 750 g in the evening. How much flour is left? (3 kg 650 g)
Revision tip: Look at grocery packet labels at home (500 g, 1 kg, etc.) and practise converting them to grams.
Open the Practice tab for graded questions on Weight.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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