 # Partition Numbers (1000 to 10000)

Lesson

When we write a number, each digit has a different value depending on its place. For example, it might be in the hundreds, tens or units place. When we partition a number, we break it into these different parts. Can you see the word 'part' in partition?  By breaking a number into parts, we can do things like share the number, by sharing each part separately.

Have a look at this video to see some different ways to break up a number and how you might use these new parts of your number.  You could even look at the topic on partitioning numbers up to 1000 before you start, to refresh your memory.

#### Worked Examples

##### question 1

Fill in the box with the missing number.

1. $2476=2000+\editable{}$2476=2000+

##### question 2

Fill in the box with the missing number.

1. $5193=100+\editable{}$5193=100+

##### question 3

We are going to write the number $3968$3968 in expanded form.

1. Fill in the Number Expander for $3968$3968.

 Number Expander: $\editable{}$ thousands $\editable{}$ hundreds $\editable{}$ tens $\editable{}$ units
2. Next, fill in the total value of the thousands, hundreds, tens and units.

 Number Expander: $3$3 thousands $9$9 hundreds $6$6 tens $8$8 units Value: $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
3. Finally, write the number as a sum. This is its expanded form.

 Number Expander: $3$3 thousands $9$9 hundreds $6$6 tens $8$8 units Value: $3000$3000 $900$900 $60$60 $8$8 $3968$3968 $=$= $\editable{}$ $+$+ $\editable{}$ $+$+ $\editable{}$ $+$+ $\editable{}$