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   35 + 54   80  (30 + 50) Add the tens    9  (5 + 4)   Add the units   89 Vertical Addition by Partition with 3-digit Numbers   811 + 650  1400  (800 + 600) Add the hundreds    60  (10 + 50)  Add the tens     1  (1 + 0)    Add the units  1461

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