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Doubling and Halving Exploration
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Doubling and Halving Exploration
Work through each section. Use counters to help you think.
Doubling
Doubling means making two equal groups of a number.
1.What does it mean to double a number?
- Add the number to itself
- Take one away
- Split it into two unequal groups
2.Complete: Double 2 = 2 + 2 = .
3.Complete: Double 4 = + = .
4.Complete: Double 8 = + = .
5.Lachlan puts 5 toy cars in one row and makes another row with the same number. How many toy cars are there altogether?
6.Draw two equal groups to show double 3. Then write the total.
Halving
Halving means sharing a number into two equal parts.
7.What does it mean to halve a number?
- Share it into two equal groups
- Add two more
- Make two groups of different sizes
8.Find half of 6.
9.Find half of 10.
10.Find half of 18.
11.Oliver has 12 grapes and shares them equally between two bowls. How many grapes go in each bowl?
12.There are 8 counters. Draw them in two equal groups and write how many are in each group.
Doubling and halving go together
Doubling and halving can undo each other.
13.If double 5 is 10, then half of 10 is .
14.Complete both number sentences: Double 7 = ; half of 14 = .
15.Which number sentence pair shows doubling and halving undoing each other?
- Double 4 = 8 and half of 8 = 4
- Double 3 = 6 and half of 10 = 5
- Double 6 = 12 and half of 8 = 4
16.Match each number sentence to its answer.
- Double 2
- Half of 6
- Double 4
- Half of 10
- 3
- 4
- 8
- 5
17.In your own words, explain how doubling and halving are related.
3 printable pages
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