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   40 + 78  110  (40 + 70) Add the tens    8  (0 + 8)   Add the units  118 Vertical Addition by Partition with 3-digit Numbers   200 + 108   300  (200 + 100) Add the hundreds    0  (0 + 0)  Add the tens     8  (0 + 8)    Add the units   308

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