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Year 2 Calculation - Addition in a Different Order
4 + 2 gives the same answer as 2 + 4. Whichever way round you put the numbers you still get the answer 6.

Year 2 Calculation - Addition in a Different Order

Add numbers in any order. Partition tens and ones, count on, and spot friendly tens to make sums quicker and easier in everyday problems.

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Fascinating Fact:

Partitioning works both ways: 46 + 3 = 40 + 6 + 3 = 49. Swap to 3 + 46, still 49.

In KS1 Maths, Year 2 pupils learn that you can add in any order and still get the same total. We use partitioning, counting on, and number lines to check and explain answers.

  • Partitioning: Splitting a number into tens and ones, e.g. 46 = 40 and 6.
  • Add in any order: A rule of addition where 46 + 3 = 3 + 46.
  • Count on: Start at the bigger number and say the next numbers to add, e.g. 46, 47, 48, 49.

Warm up with quick sums: try the Addition Game before you start the quiz.

Does the order of addends matter in Year 2?

No. In addition, the order does not change the total. For example, 12 + 7 = 19 and 7 + 12 = 19.

How does partitioning help me add?

Partitioning breaks numbers into tens and ones so you can add tens first, then ones. Example: 27 + 15 = 20 + 10 = 30, then 7 + 5 = 12, total 42.

When should I count on instead of using a number line?

Count on for small jumps like +1, +2, or +3 from a bigger number. Use a number line when steps are larger or you want to show your method.

Question 1
What is 1 + 35 + 34?
70
60
75
65
Adding the 1 to the 34 gives 35. 35 + 35 = 70
Question 2
What is 2 + 14 + 18 + 6?
45
35
50
40
Recognising that there are two pairs of bonds to 20 makes it much easier to solve this
Question 3
What is 10 + 43 + 10 + 2
67
65
75
66
Counting up in tens from 43 and finally adding the 2 makes this calculation easy
Question 4
What is 3 + 22?
26
25
27
23
Starting at 3 and counting on 22 would take longer than swapping the order of the numbers around!
Question 5
What is 1 + 1 + 85 + 1 + 1?
89
88
86
98
Starting at 85 and counting on 4 is perfectly acceptable
Question 6
What is 12 + 13 + 11 + 10?
54
48
46
44
Adding together all the tens and then the units and combining the two totals is a useful way of solving this
Question 7
What is 2 + 60 + 4?
75
67
56
66
Adding the smaller numbers first and then adding them to 60 is the best option
Question 8
What is 5 + 5 + 10 + 5 + 5
25
35
30
40
Starting at 10 and counting up in 5s, or adding up all the 5s and then 10 more are both good strategies
Question 9
What is 2 + 30 + 8?
37
48
35
40
Adding the 2 and 8 first gives 10, which is easily added to 30
Question 10
What is 16 + 70 + 4?
90
80
78
87
Spotting the bond to 20 makes this calculation become much easier
You can find more about this topic by visiting BBC Bitesize - Adding and subtracting

Author:  Angela Smith (Primary School Teacher & KS1 Quiz Writer)

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