This document discusses how numbers are represented and understood. It explains that numbers can be written out in words or shown using digits. When writing out two or three digit numbers, the place value of each digit is identified, with the first digit representing tens, the second units, and so on. Larger numbers can be partitioned into thousands, millions and beyond. Reading large numbers out loud involves stating the value of each group of three digits separated by commas.

2. 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

3. Most commonly numbers are represented with digits:
These are what we call single digit numbers
Is there a digit missing?
one two
three
four
five
seven
eight

4. We call these
units
This is a two
digit number

5. 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

6. 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

7. 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

8. 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

9. 4
2
40 2 42
36
3
6
30 6 36
59 59
5
9
24 20 4 24
70
7
0
70 0 70
70 8 78
7
8
83 80 833

11. 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

12. 3 6 5 days in a year
tensHundreds units

16. 3600 seconds in an hour
tenshundreds unitsthousands

18. Partitioning questions

19. The digit in the number represents?

20. 1 one
2 two
3 three
4 four
5 five
6 six
7 seven
8 eight
9 nine
10 ten
11 eleven
12 twelve
13 thirteen
14 fourteen
15 fifteen
16 sixteen
17 seventeen
18 eighteen
19 nineteen
20 twenty
30 thirty
40 forty
50 fifty
60 sixty
70 seventy
80 eighty
90 ninety
100 hundred
1,000 thousand
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

21. 253684 in words
work out the place values
Hundreds of
thousands
Tens
thousands thousands , hundreds tens 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 , hundreds tens ones
Two hundred and fifty three thousand ,

22. 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
,

23. *
*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

24. *
4,829,105
Millions

25. *
4,829,105
Thousands
Created by Richard Bull