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

  74
+ 98
 160  (70 + 90) Add the tens
  12  (4 + 8)   Add the units
 172



Vertical Addition by Partition with 3-digit Numbers

  160
+ 602
  700  (100 + 600) Add the hundreds
   60  (60 + 0)  Add the tens
    2  (0 + 2)    Add the units
  762


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