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 + 44   70  (30 + 40) Add the tens    9  (5 + 4)   Add the units   79 Vertical Addition by Partition with 3-digit Numbers   146 + 551   600  (100 + 500) Add the hundreds    90  (40 + 50)  Add the tens     7  (6 + 1)    Add the units   697

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