Doubling in division

In your book, Maths Mela (Chapter 9), we find out how one division can tell us the answers to others. We start from 192 ÷ 4 = 48.

Double only the dividend: 384 ÷ 4. There is twice as much to share among the same 4 groups, so each group gets twice as much. The quotient doubles: 384 ÷ 4 = 96.

Double both the dividend and the divisor: 384 ÷ 8. Twice as much is shared among twice as many groups, so each group gets the same as before. The quotient stays the same: 384 ÷ 8 = 48. In the same way, 340 ÷ 34 = 10 tells us that 680 ÷ 68 = 10.

Double only the divisor: 192 ÷ 8. The same amount is shared among twice as many groups, so each group gets half as much. The quotient halves: 192 ÷ 8 = 24.

Always check by multiplying: 8 × 48 = 384 and 4 × 96 = 384. Both are right.