Partitioning (Place Value)
Partitioning Numbers
To partition a two digit number we split it into tens and ones. Whilst in school the children have base 10 or place value counters to visualise this process, this is known within Maths No Problem as having a concrete resource.
Using these concrete resources; if we asked the children to partition the number 35 we could show it in the following ways..
35 = 3 tens and 5 ones 3 tens = 30 and 5 ones makes 35 3 jumps in 10s.. 10 , 20, 30 and 5 jumps on in 1s.. 31, 32, 33, 34, 35! |
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It's exactly the same process using the place value counters.
   |      |
| 3 tens | 5 ones |
35 = 3 tens and 5 ones
3 tens = 30 and 5 ones makes 35.
3 jumps in 10s.. 10 , 20, 30 and 5 jumps on in 1s.. 31, 32, 33, 34, 35!
Partitioning Numbers in Different Ways
We also teach the children how to partition in different ways, initially we would ask them to focus on just moving the tens.
For example, we've just shown that 35 would be partitioned into 
(30) and 
(5)
However, we can also partition 35 like this...
35 = 
(20) and 
(15) or 
(10) and 
(25)
These can also be written as number sentences:
35
35 = 30 + 5
35 = 20 + 15
35 = 10 + 25