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   17 + 66   70  (10 + 60) Add the tens   13  (7 + 6)   Add the units   83 Vertical Addition by Partition with 3-digit Numbers   701 + 611  1300  (700 + 600) Add the hundreds    10  (0 + 10)  Add the tens     2  (1 + 1)    Add the units  1312

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