This document discusses place value and how the decimal system works. It explains that the decimal system uses the digits 0-9 and that the position of each digit determines its value. The value increases from right to left, so digits to the left represent larger values like thousands or millions. Place value charts can help read and understand large numbers by showing the value of each digit position. The document also covers writing numbers in standard form versus expanded form, and how to properly say large numbers aloud by naming the place value of each group.

1. Place Number
MA701 Basic Maths

2. Place Number
Our system of writing
numbers is called the
decimal system. It is based
on ten, the number of
fingers and thumbs we
have.
3789
3, 7, 8 and 9
are digits
The position tells us
the numbers value
The decimal system uses
the digits 0, 1, 2, 3, 4, 5, 6,
7, 8, and 9.
The position of the digit in
a number tells you the value
of the number.

3. Place Number
The value of the digit
increases as its position
moves from right to left
3789
We use column arithmetic
to give us the value
3789 3789 3789
HundredsThousands Tens Units
37893789 3789 3789

4. Place Number
Each digit in a number has
a place value and a face
value.
3789
Face
value is 7
Place
value is
hundreds
In the number 3789 the
digit 7 is in the hundreds
place value
The number you see is 7
This means the digit 7 in
the number 3789 is seven
hundred (700)

5. Place Number
A place value chart helps us
to read and understand
large numbers.
128 063 245 791
Billions
Millions Thousands
Units

6. Place Number
Understanding place value helps us say large numbers
properly
When saying large numbers you should:
A) start with the largest place value grouping
B) say what you see, then say the grouped place value
C) continue until all numbers have been read
34 907 521
34
million
907
thousand
5
Five
hundred
21
And twenty -
one

7. Place Number
Understanding place value helps us write large numbers
properly
When writing numbers in words you write exactly what
you say:
34 907 521
34
million
907
thousand
5
hundred
21
And twenty -
one

8. Place Number
When numbers are presented in numerical digits, it is
called the standard form of a number.
4856
STANDARD
FORM

9. Place Number
Numbers can also be represented in expanded form.
This means writing the value of a number using the face
value and place value of each digit.
The number 4856 in expanded form is:
Method a)
4000 + 800 + 50 + 6
Method b)
4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1