By partitioning numbers, or breaking them into çhunks, it can help us solve different number problems. There are lots of ways in which we can partition our numbers, so take a look at this video to see three different ways to partition your numbers.

Which was your favourite way to partition a number? I like the pictures method best!

In the second video, you'll see how we can solve these problems without using any pictures or place value tables. See how you go solving a problem like $50498$50498 = $400$400 + ?

Remember!

You can break numbers up in lots of different ways and still keep the same value.

Worked Examples

Question 1

Fill in the box with the missing number.

$44263=40000+\editable{}$44263=40000+

Question 2

Use partitioning to fill in the missing number.

$49735=49000+\editable{}$49735=49000+

Question 3

Express $20603$20603 in expanded form. For example, $2045$2045 in expanded form is $2000+40+5$2000+40+5.