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Division Splitting Strategy
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Division Splitting Strategy
Use splitting to break a dividend into parts that are easy to divide. Show your thinking where space is provided.
Understand the strategy
1.For 54 ÷ 3, which choice describes splitting the dividend?
- Break 54 into smaller parts and divide each part by 3.
- Make the divisor 3 larger.
- Add 3 to 54.
- Subtract 3 from 54.
2.Complete a place-value split: 42 ÷ 2 = ( ÷ 2) + ( ÷ 2) = + = .
Practise splitting
3.Use a tens-and-ones split to solve 78 ÷ 6. Write the parts you divided and the quotient.
4.Solve 92 ÷ 4 by splitting 92 into parts that each divide evenly by 4. Show your working.
5.Select every split that divides 72 ÷ 3 into parts that can each be divided by 3.
- (60 ÷ 3) + (12 ÷ 3)
- (30 ÷ 3) + (42 ÷ 3)
- (50 ÷ 3) + (22 ÷ 3)
- (70 ÷ 3) + (2 ÷ 3)
6.Use the number line to plan a split for 64 ÷ 8. Label two useful parts of 64 and find the quotient.
7.Imagine 87 as 8 tens and 7 ones. Regroup one ten as 10 ones, then split 87 ÷ 3 equally. What is the quotient?
Division in everyday situations
8.Tevita shares 85 beads equally among 5 craft groups. Use a split to work out how many beads each group receives.
9.A café packs 96 scones into boxes of 6. Split 96 to find how many full boxes are needed.
10.Match each division to the split that divides both parts evenly by its divisor: 1) 76 ÷ 4; 2) 95 ÷ 5; 3) 54 ÷ 6.
- 1) 76 ÷ 4
- 2) 95 ÷ 5
- 3) 54 ÷ 6
- C) (50 ÷ 5) + (45 ÷ 5)
- A) (30 ÷ 6) + (24 ÷ 6)
- B) (60 ÷ 4) + (16 ÷ 4)
Think about your learning
11.In your own words, explain one reason splitting can make a division problem easier.
12.What should you check about the parts when splitting a dividend for division?
3 printable pages
Page 1
Page 2
Page 3
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