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Equal Groups

Sharing larger numbers

Share larger numbers, like ferrying people across a river in boats.

In your book, Maths Mela (Chapter 9), 9 boats have to ferry 108 people across the Cauvery river. Every boat carries the same number. How many in each boat? That is 108 ÷ 9. If 5 people sit in each boat, the 9 boats carry 45. If 5 more sit in each (10 in all), they carry 90. The other 18 people are shared too: 2 more in each boat. So each boat takes 5 + 5 + 2 = 12 people.

Division has patterns. 3 ÷ 3 = 1, 30 ÷ 3 = 10 and 300 ÷ 3 = 100. When the number shared is ten times bigger, each share is ten times bigger. So ₹30 shared equally among 3 children is ₹10 each, and ₹900 shared among 3 is ₹300 each, because 9 ÷ 3 = 3.

Chippi the lizard sees 60 tyres. A truck has 6 tyres, and 6 ÷ 6 = 1, so 60 tyres are 10 trucks. Chippi sees 600 ant legs. An ant has 6 legs, so 600 legs are 100 ants. A shop has 800 rubber bands in packets of 4: 8 ÷ 4 = 2, so there are 200 packets.

A school hires 7 buses for 245 children, with the same number in each bus. 10 children in each bus uses 70. 30 in each bus uses 210, leaving 35. 35 shared among 7 buses is 5 more each. So each bus carries 30 + 5 = 35 children.

Divide larger numbers by sharing in easy groups (5s, 10s) and by using patterns: 3 ÷ 3 = 1, so 300 ÷ 3 = 100 and ₹900 ÷ 3 = ₹300.

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