Addition by Partitioning

Worked Examples of Addition by Partitioning

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In Years 3/4 children start to lay out numbers to be added vertically, to get ready for the introduction of column addition typically in Years 5/6.
When two-digit numbers are to be added, children are usually taught to add the tens first which gives a rough answer, and then add the units and add those to the total of the tens.
For three-digit numbers, the hundreds are added first, then the tens, and then the units.

Vertical Addition by Partition with 2-digit Numbers   56 + 17   60  (50 + 10) Add the tens   13  (6 + 7)   Add the units   73 Vertical Addition by Partition with 3-digit Numbers   403 + 528   900  (400 + 500) Add the hundreds    20  (0 + 20)  Add the tens    11  (3 + 8)    Add the units   931

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