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   62 + 14   70  (60 + 10) Add the tens    6  (2 + 4)   Add the units   76 Vertical Addition by Partition with 3-digit Numbers   140 + 862   900  (100 + 800) Add the hundreds   100  (40 + 60)  Add the tens     2  (0 + 2)    Add the units  1002

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