Place value is a system that assigns a value to the position of digits in a number. Each place, or position, has its own value - ones, tens, hundreds, thousands, etc. The value of the number is determined by the digit in each place. Place value is important because it allows us to easily write, read, and understand large numbers. Place value can be demonstrated using place value charts or an abacus, which visually represent how each place increases in value from right to left.

1. Place Value
What do you understand
By Place Value?
Can you explain the ideas
behind Place Value?
Why is it so important?

2. Digits
All numbers are made from digits.
Each digit in its right place gives
a number its value.
What are the digits?
Yep 3 4 1 8 9 0 5 6 7 2

3. So lets try that out.
1 4 6
How do you know the value of this number?
1 4 6
Each digit has a place.
Each place has a value.
H T U
Saying it out loud
one hundred and forty six gives a clue.
100 40 6

4. Another way of showing
Place Value is to use an abacus
100
10
10
10
10
1
1
1
1
1
1
H T U
146
One hundred and forty six

5. Lets try a bigger number.
Th T U
2 335
Two thousand three hundred and thirty five.
100
100
1000
1000
H
100 10
10
10
1
1
1
1
1

6. Units 1 2 3 4 5 6 7 8 9
Tens 10 20 30 40 50 60 70 80 90
Hundreds 100 200 300 400 500 600 700 800 900
Thousands 1000 2000 3000 4000 5000 6000 7000 8000 9000
Building Numbers with Place Value Grids
Th H T U

7. Units 1 2 3 4 5 6 7 8 9
Tens 10 20 30 40 50 60 70 80 90
Hundreds 100 200 300 400 500 600 700 800 900
Thousands 1000 2000 3000 4000 5000 6000 7000 8000 9000
Tens of thousands 10 000 20 000 30 000 40 000 50 000 60 000 70 000 80 000 90 000
Hundreds of Thousands 100 000 200 000 300 000 400 000 500 000 600 000 700 000 800 000 900 000
Place Value Grid
HTh TTh Th H T U

8. We can also build numbers using an abacus.
U
T
H
Th
T Th
H Th
M