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   53 + 57  100  (50 + 50) Add the tens   10  (3 + 7)   Add the units  110 Vertical Addition by Partition with 3-digit Numbers   752 + 765  1400  (700 + 700) Add the hundreds   110  (50 + 60)  Add the tens     7  (2 + 5)    Add the units  1517

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