# The Partitioning Method for Addition

```The Partitioning Method for Addition
This sheet is intended to help parents, carers and other adults support children’s
learning of the partitioning method for addition. This method works by partitioning
(or splitting) each number into its hundreds, tens and units. Then the parts of the
Children will have begun to record their mental methods of addition earlier in the
school, for example, 47 + 76 = 40 + 70 + 7 + 6 = 110 + 13 = 123
As shown in the examples below, by recording the numbers one below the other, it is
easy to carry out the additions needed to get the final answer. This method also
Example 1: 47 + 76
First partition (split) each number into tens and units:
47
+ 76
=
40 +
70 +
7
6
47
+ 76
=
40 + 7
70 + 6
110 + 13
47
+ 76
=
40 + 7
70 + 6
110 + 13
= 123
Example 2: 546 + 78
546
+ 78
= 500 +
40 + 6
70 + 8
500 + 110 + 13
= 624
Example 3: 793 + 521
793
+
521
=
700 +
500 +
90 +
20
+
3
1200 + 110 +
4
1
= 1314
Tips to avoid mistakes
• Write neatly, lining up numbers carefully in columns.
• Estimate the answer by rounding before calculating, e.g. for Example 3,
800 + 500 = 1300, so check that your final answer is near to 1300.
• Learn your number facts ! ( if you don’t know that 7 + 5 = 12, you won’t be able to