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   90 + 96  180  (90 + 90) Add the tens    6  (0 + 6)   Add the units  186 Vertical Addition by Partition with 3-digit Numbers   264 + 348   500  (200 + 300) Add the hundreds   100  (60 + 40)  Add the tens    12  (4 + 8)    Add the units   612

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