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Weight and Capacity

Adding and subtracting weights

Add and subtract weights while Rathna shops for groceries.

In your book, Maths Mela (Chapter 8), Rathna goes to the grocery store. She buys 2 kg 500 g of rice for daily use and 1 kg 750 g more for the Pongal festival. How much rice does she buy in all?

We add like units: kilograms with kilograms, grams with grams. 2 kg + 1 kg = 3 kg. 500 g + 750 g = 1,250 g. But 1,000 g make 1 kg, so 1,250 g = 1 kg 250 g. Put the extra 1 kg with the kilograms: 3 kg + 1 kg 250 g = 4 kg 250 g. Another way is to change both into grams: 2,500 g + 1,750 g = 4,250 g = 4 kg 250 g.

How much more rice did she buy for home than for Pongal? We need 2 kg 500 g − 1 kg 750 g. We cannot take 750 g from 500 g, so we change 1 kg into 1,000 g: 2 kg 500 g becomes 1 kg 1,500 g. Now 1,500 g − 750 g = 750 g and 1 kg − 1 kg = 0 kg. So she bought 750 g more for home. In grams: 2,500 g − 1,750 g = 750 g.

The book gives many problems like this. Aarav is helping his grandfather at the fruit stall and lifts two baskets of apples. In a Gurdwara's community kitchen, 65 kg of flour is bought, 42 kg 275 g is used for langar, and 52 kg 500 g more is bought the next day. First subtract: 65 kg − 42 kg 275 g = 22 kg 725 g. Then add: 22 kg 725 g + 52 kg 500 g = 75 kg 225 g of flour in the store.

Remember: when the grams add up to 1,000 g or more, carry 1 kg. When there are not enough grams to take away, change 1 kg into 1,000 g.

Add or subtract kilograms with kilograms and grams with grams, regrouping 1,000 g as 1 kg — or change everything into grams first.

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