91热爆

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.

Back to top

Watch: Numbers to 1,000

Back to top

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:

A table showing '1' in Hundreds column, '6' in Tens column, and '7' in Ones column

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 gallerySkip image gallerySlide 1 of 3, A place value chart showing the number 1, 6 7 represented under columns showing hundreds, tens and ones, 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.

Remember, if the digits were put in a different order, the number would change completely.

Back to top

Example 2

Let's rearrange the digits 1, 6 and 7 into 671 to see how it changes the number.

A place value table with 6 in hundreds column, 7 in tens column and 1 in ones column
A place value table with 6 counters in the hundreds column, 7 in tens column and 1 counter in the ones column

Base 10

671 represented in base 10 blocks

Place value counters

6 hundred counters, 7 tens counters and a one counter

The same digits have been used but they are in a different order. Their value completely changes.

Back to top

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.

3 hundreds
3 hundreds counter
4 tens
4 tens counters
5 ones
five ones counters

Now put them together to represent 345.

345 represented with place value counters

Back to top

Activity 1

Dinosaur digits

Click on the image below to see if you can make the correct number.

Back to top

Activity 2

Back to top

Activity 3

Back to top

NEW! Play Guardians: Defenders of Mathematica - the winter update. game

It's Mathematica as you鈥檝e never seen it before, with all-new festive backgrounds and costumes. Available for a limited time only. Use your maths skills to save the day before it's too late!

NEW! Play Guardians: Defenders of Mathematica - the winter update
Back to top

More on Place value

Find out more by working through a topic