Weight (Mass) • Topic 3 of 5

Unit Conversions

The single fact that unlocks every weight conversion is 1 kg = 1000 g. To change kilograms into grams you multiply by 1000, and to change grams into kilograms you divide by 1000. So 3 kg = 3000 g, and 4500 g = 4 kg 500 g (or 4.5 kg). The common shop weights follow from the same fact: half a kilogram is 500 g, a quarter kilogram is 250 g, and three-quarters of a kilogram is 750 g. A mixed measure like 2 kg 250 g simply means 2000 g + 250 g = 2250 g. CTET also likes the larger units: 1 quintal = 100 kg, 1 tonne = 1000 kg, and therefore 1 tonne = 10 quintals. The golden rule for any sum is to make the units match first. If a question mixes 1 kg 500 g with 750 g, convert everything to grams (1500 g and 750 g), do the arithmetic, then convert back if needed. Skipping that step is the most common source of wrong answers in this whole topic.

✅ Solved examples

1. Convert 5 kg into grams.
5 kg = 5 x 1000 g = 5000 g. To go from kilograms to grams, multiply by 1000.
2. Convert 3250 g into kilograms and grams.
3250 g = 3000 g + 250 g = 3 kg 250 g. Dividing 3250 by 1000 gives 3 with a remainder of 250 g.
3. How many grams are there in 2 kg 750 g?
2 kg = 2000 g, so 2 kg 750 g = 2000 g + 750 g = 2750 g.
4. A grain depot stores 3 tonnes of rice. How many quintals and how many kilograms is this?
1 tonne = 10 quintals = 1000 kg. So 3 tonnes = 30 quintals = 3000 kg.

✏️ Practice — try these, take hints as needed

1. Convert 7 kg into grams.
1 kg = 1000 g.
Multiply by 1000.
7000 g
2. Write 4500 g as kilograms and grams.
Split off the thousands.
4000 g is 4 kg.
4 kg 500 g (or 4.5 kg)
3. A quarter kilogram of tea is how many grams?
Quarter means one-fourth.
1000 divided by 4.
250 g
4. How many kilograms make 1 quintal, and how many quintals make 1 tonne?
Quintal is for heavy grain.
A tonne is the heaviest of the three.
1 quintal = 100 kg; 1 tonne = 10 quintals

📝 Topic test — 8 questions

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