1. Number and place value

Lesson

We have looked at how to break up four digit numbers and use a number expander to help us see the parts in our number.

We have written the number 4050 in a number expander.

Fill in the boxes to make the sentences correct.

a

We can break up this number into ⬚ thousands and 5 tens.

Worked Solution

b

We can break up 4050 into ⬚ hundreds and 50 units.

Worked Solution

Idea summary

Another word that we can use to describe the ones place is 'units'.

Every number can be made in different ways, and it doesn't change the value of the number. The number 3800 has the same value as:

3 thousands and 8 hundreds

38 hundreds

380 tens, or

3800 ones

Let's look at how we can break up larger numbers using place value.

We're going to write 56\,713 in expanded form.

a

Fill in the number expander for 56\,713.

56\,713=⬚ \, \text{ Ten-Thousands }⬚ \, \text{ Thousands }⬚ \, \text{ Hundreds }⬚ \, \text{ Tens }⬚ \, \text{ Units}

Worked Solution

b

56\,713=⬚+⬚+⬚+10+3

Worked Solution

We have written the number 21\,476 in the following number expander:

Fill in the boxes below to make the sentences correct.

a

We can break up this number into ⬚ ten thousands, ⬚ hundreds, and 76 units.

Worked Solution

b

We can also break up 21\,476 into only hundreds and units.

Written in this way, the number is made up of ⬚ hundreds and 76 units.

Worked Solution

Idea summary

Every number can be made in different ways, and it doesn't change the value of the number. The number 246\,000 has the same value as:

2 hundred thousands and 46 thousands

2 hundred thousands and 40 thousands and 6 thousands

246 thousands,

2460 hundreds,

24\,600 tens, or

246\,000 units.

Recognise, model, represent and order numbers to at least 10 000

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems