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

  64
+ 52
 110  (60 + 50) Add the tens
   6  (4 + 2)   Add the units
 116



Vertical Addition by Partition with 3-digit Numbers

  769
+ 435
 1100  (700 + 400) Add the hundreds
   90  (60 + 30)  Add the tens
   14  (9 + 5)    Add the units
 1204


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