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More division pictures
Discover Mathematics P3: Term 1, Lessons 41–50
GoalSolve division problems with pictures and with the related multiplication fact.
New words
equal groups · groups that each have the same numberquotient · the answer to a divisionrelated fact · a multiplication fact that uses the same numbers as the division
Explanation
A picture can show a division. To solve 27 ÷ 3, draw a bar of 27 and cut it into groups of 3. There are 9 groups, so 27 ÷ 3 = 9. Always look for the related multiplication: 3 × 9 = 27. For 44 ÷ 11, ask yourself: 11 times what number makes 44? Since 11 × 4 = 44, we know that 44 ÷ 11 = 4. We can also share instead of grouping. Share 27 counters among 3 circles and each circle gets 9. Both ways give the same quotient.
Worked examples
44 ÷ 11. The bar of 44 is cut into parts of 11. There are 4 parts, so 44 ÷ 11 = 4. Check: 4 × 11 = 44.
36 ÷ 9. The bar of 36 is cut into parts of 9. There are 4 parts, so 36 ÷ 9 = 4. Check: 4 × 9 = 36.
Hana shares 27 counters equally among 3 circles. Each circle gets 9 counters, so 27 ÷ 3 = 9. Sharing gives the same answer as grouping.
Class activity
Draw the division. Choose three division facts from this lesson. For each one, draw a bar or circles to show the groups, write the division and the related multiplication, and ask your partner to find the quotient from your drawing only.
Practice
1
35 stars are in rows of 5. How many rows are there?
35 ÷ 5 = 7 rows. Check: 7 × 5 = 35.
2
66 books are packed in boxes of 11. How many boxes are needed?
66 ÷ 11 = 6 boxes. Check: 6 × 11 = 66.
3
Karim reads 9 pages a day. How many days does he need to read 54 pages?
54 ÷ 9 = 6 days. Check: 6 × 9 = 54.
4
Write the related multiplication and solve 72 ÷ 9.
9 × 8 = 72, so 72 ÷ 9 = 8.
5
Marwan says 44 ÷ 11 = 33, because 44 − 11 = 33. What is the right answer? How do you know?
44 ÷ 11 = 4, because 11 × 4 = 44. Marwan subtracted, but division asks how many groups of 11 fit in 44.