Place value

‘English is everywhere, Maths is massive’

We can see numbers in words:

“I caught the train today at twelve thirty”

Understanding numbers

Numbers can be shown with images represented in a physical form:

I had 3 counting blocks but then someone gave me another 10

Created by Richard Bull

Created by Richard Bull

Most commonly numbers are represented with digits:

These are what we call single digit numbers

Is there a digit missing?

one twothree

four

five

sixseven

eight nine

zero

We call these units

This is a two digit

number

When we have a two digit number, the first digit tells us how many tens, the second digit tells us how many units

We have 1 ten And we have 0 units So in total we have

ten

tens units

1 0

When we have a two digit number, the first digit tells us how many tens, the second digit tells us how many units

Ten and two make twelve

We have 1 ten, which is ten

And we have 2 units

tens

1 2

units

When we have a two digit number, the first digit tells us how many tens, the second digit tells us how many units

So in total we have fifty-two

We have 5 tens, so fifty and we have have 2 units

tens units

5 2

When we have a two digit number, the first digit tells us how many tens, the second digit tells us how many units

So we have ninety-nine

We have 9 tens, which is ninety And we have 9 units

What would happen if I had one more?

tens units

9 9

42

40 2 42

3636

30 6 36

59 5959

24 20 4 24

70 70

70 0 70

70 8 7878

83 80 833

When we have a three digit number, the first digit tells us how many hundreds, the second digit tells us how many tens and the last digit how many units

So we have one hundred

We have 1 hundred

We have 0 tens

We have 0 tens

tens

1 0 0

hundreds units

3 6 5 days in a year

tens

Hundreds units

Complete worksheet

Solution

Solution

3600 seconds in an hour

tens

hundreds unitsthousands

Partitioning questions

The digit in the number represents?

1 one2 two3 three4 four5 five6 six7 seven8 eight9 nine

10 ten

11 eleven

12 twelve

13 thirteen14 fourteen15 fifteen16 sixteen17 seventeen18 eighteen19 nineteen20 twenty

30 thirty40 forty50 fifty60 sixty70 seventy80 eighty90 ninety

100 hundred1,00

0thousand

Using just these words you can write any number up to one million

853

Eight hundred

fifty three

8 eight

50 fifty

100 hundred

3 three

and

253684 in words

work out the place valuesHundreds of thousands

Tens thousands thousands , hundre

dstens ones

six hundred and eighty four

2 5 3 6 8 4,

Between each comma you read just the 3 digit number and then add in this case the

word thousand

Hundreds of thousands

Tens of thousands thousands , hundre

dstens ones

Two hundred and fifty three thousand

,

345253684 in words

work out the place values

Two hundred and fifty-three thousand

Between each comma you read just the 3 digit number and then add in this case the

word million

Three hundred and forty-five million

,

Hundreds of millions

Tens of millions

millions

, Hundreds of thousands

Tens of thousands

Thousands

, hundred tens units

3 4 5 , 2 5 3 , 6 8 4

Hundreds of millions

Tens of millions

millions

Hundreds of thousands

Tens of thousands

Thousands

Between each comma you read just the 3 digit number and then add in this case the

thousands

Six hundred and eighty four

,

* Place Value*Whole numbers are made up of units, tens, hundreds, thousands and so on.

*In the number 6325:*The digit 6 means six thousands *The digit 3 means three hundreds *The digit 2 means two tens *The digit 5 means five units

In words, we write this as six thousand, three hundred and twenty-five.

THOUSANDS

HUNDREDS

TENS UNITS

6 3 2 5

*What place value is the 4 in this number?

4,829,105 Millions

*What place value is the 9 in this number?

4,829,105

Thousands

Created by Richard Bull