Place value
Place value is really important when building up numbers. The order the digits are written in a number determine its value.
A number can be made of more than one digit.
We use place value headings, like 'ones', 'tens', 'hundreds' and 'thousands' to help us understand the value of each digit.
Watch: Numbers to 1,000
These chaps, the ones, are the smallest numbers.
They go from 1 to 9 but then you run out of numbers.
Ah, don't worry little fella.
We just need some help from the big guys.
Ahem!
Er, bring out the tens!
Place value helps us work out the value of a digit depending on its place or position in a number.
Now let's speed things up and see what happens when we get to 99.
We've run out of numbers again.
So, this time, we need the hundreds.
Now we've got hundreds, tens and ones all on board let's jump forward to the thousands, which are even bigger again!
Then, get ready guys, because next up…it's time to get out of here!
Example 1
How do you represent the number 167 with a place value chart?
The number 167 is made of the digits 1, 6 and 7.
We can use a place value to chart to express the number 167 like this:

In other words, 1 hundred, 6 tens and 7 ones.
This number can also be represented in other ways without using numbers. Each pictorial representation in the slideshow below shows 167.
Image caption, Place value chart
A place value chart can also use dots to represent the digits. The dots can be counted to find 1 hundred, 6 tens and 7 ones.
Image caption, Base 10 blocks
Base 10 blocks can also be used to represent a number. A 10 x 10 square block represents a hundred. A 10 x 1 row represents a ten. An individual block represents a one.
Image caption, Place value counters
The number can also be represented with counters. You can have a counter for each hundred, each ten and each one.
1 of 3
Remember, if the digits were put in a different order, the number would change completely.
Example 2
Let's rearrange the digits 1, 6 and 7 into 671 to see how it changes the number.


Base 10

Place value counters

The same digits have been used but they are in a different order. Their value completely changes.
Example 3
Ellie wants to show the number 345 using place value counters. Can you help her?
The first thing you need to do is partition the number. That's 3 hundreds, 4 tens and 5 ones.



Now put them together to represent 345.

Activity 1
Dinosaur digits
Click on the image below to see if you can make the correct number.
Activity 2
Activity 3
Play Guardians: Defenders of Mathematica to get ready for SATs. gamePlay Guardians: Defenders of Mathematica to get ready for SATs.
In this game, use the times tables and more maths skills to defeat monsters and reclaim the Kingdom.
