# 1.08 Order larger numbers

Lesson

## Ideas

Can you  order four-digit numbers  ?

### Examples

#### Example 1

Arrange 2329, 2239, 2392 from largest to smallest.

Worked Solution
Create a strategy

Use a place value table and compare the digits from thousands.

Apply the idea

We can see that all the numbers have the same number of thousands.

2239 has the smallest number of hundreds so it is the smallest number.

2329 and 2392 have the same number of hundreds.

2329 has less tens than 2392, so 2329 \lt 2392.

So the numbers from largest to smallest are:2392,\,2329,\,2239

Idea summary

A place value table is useful when comparing numbers.

## Order larger numbers

This video orders three five digit numbers, by first writing them in a place value table.

### Examples

#### Example 2

Order these numbers from largest to smallest.

a

13\,345, \,14\,533,\,14\,335

Worked Solution
Create a strategy

Use a place value table and compare from ten thousands.

Apply the idea

We can see that all the numbers have the same number of ten thousands.

13\,345 has the smallest number of thousands so it is the smallest number.

14\,533 and 14\,335 have the same number of thousands.

14\,533 has more hundreds than 14\,335, so 14\,533 \gt 14\,335.

So the numbers from largest to smallest are:14\,533,\, 14\,335,\, 13\,345

b

37\,508,\,30\,758,\,37\,058

Worked Solution
Create a strategy

Use a place value table and compare from ten thousands.

Apply the idea

We can see that all the numbers have the same number of ten thousands.

30\,758 has the least number of thousands so it is the smallest number. 37\,508 has more hundreds than 37\,058, so 37\,508 \gt 37\,058.

So the numbers from largest to smallest are:37\,508, 37\,058, 30\,758

Idea summary

When we use place value to order numbers, always start with the far left digit and think about the digit's place value.

### Outcomes

#### VCMNA130

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