Expanded notation and expanded form

Expanding our number

We've seen before how we can build, or construct, numbers up to $50000$50000, where place value helped us understand how much each digit was worth. Now we're going to look at how we can start with a large number, and break it down into its parts. We will look at the value each digit has, depending on where it is located in the number.

Remember how we used base 10 blocks to compare numbers? It's a little like that, but this time, where the digit is located tells us what it is worth.

solving problems

Now that we've seen how to deconstruct and construct numbers, let's use this to solve some problems. We left Video 1 seeing how 30 470 could be written as 3 047 if we left out our zero placeholder. We'll start Video 2 by looking at one other way you might build 30 470.

Then we move on to using the value of each digit to solve some addition and subtraction problems. We also look at multiplying by multiples of 10, and see what this means when we think of place value.

Worked Examples

Question 1

Question 2

Question 3