PPT: The Number System | Year 6 Mathematics IGCSE (Cambridge) PDF Download

 Page 1


Number 
System
Page 2


Number 
System
What Are Number 
Systems?
Natural Numbers
Counting numbers (1, 2, 3...)
Used for counting objects like apples
Whole Numbers
Natural numbers plus zero (0, 1, 2...)
Used when we need to include nothing
Integers
Includes negative numbers (...-2, -1, 0, 1, 2...)
Used for temperatures, elevations, debts
Page 3


Number 
System
What Are Number 
Systems?
Natural Numbers
Counting numbers (1, 2, 3...)
Used for counting objects like apples
Whole Numbers
Natural numbers plus zero (0, 1, 2...)
Used when we need to include nothing
Integers
Includes negative numbers (...-2, -1, 0, 1, 2...)
Used for temperatures, elevations, debts
Place Value
Place value refers to the value of a digit based on its 
position in a number. Each position in a number has a 
different value:
Ones place (1s) 3 The rightmost digit represents 
ones.
Tens place (10s) 3 The second digit from the right 
represents tens.
Hundreds place (100s) 3 The third digit from the 
right represents hundreds.
Thousands place (1000s) 3 The fourth digit from 
the right represents thousands.
Page 4


Number 
System
What Are Number 
Systems?
Natural Numbers
Counting numbers (1, 2, 3...)
Used for counting objects like apples
Whole Numbers
Natural numbers plus zero (0, 1, 2...)
Used when we need to include nothing
Integers
Includes negative numbers (...-2, -1, 0, 1, 2...)
Used for temperatures, elevations, debts
Place Value
Place value refers to the value of a digit based on its 
position in a number. Each position in a number has a 
different value:
Ones place (1s) 3 The rightmost digit represents 
ones.
Tens place (10s) 3 The second digit from the right 
represents tens.
Hundreds place (100s) 3 The third digit from the 
right represents hundreds.
Thousands place (1000s) 3 The fourth digit from 
the right represents thousands.
T h o u s a n d s
3 × 1,000 = 3,000
H u n d r e d s
4 × 100 = 400
T e n s
8 × 10 = 80
O n e s
2 × 1 = 2
The value of a digit increases 10 times as we move left.
The value decreases 10 times as we move right.
Page 5


Number 
System
What Are Number 
Systems?
Natural Numbers
Counting numbers (1, 2, 3...)
Used for counting objects like apples
Whole Numbers
Natural numbers plus zero (0, 1, 2...)
Used when we need to include nothing
Integers
Includes negative numbers (...-2, -1, 0, 1, 2...)
Used for temperatures, elevations, debts
Place Value
Place value refers to the value of a digit based on its 
position in a number. Each position in a number has a 
different value:
Ones place (1s) 3 The rightmost digit represents 
ones.
Tens place (10s) 3 The second digit from the right 
represents tens.
Hundreds place (100s) 3 The third digit from the 
right represents hundreds.
Thousands place (1000s) 3 The fourth digit from 
the right represents thousands.
T h o u s a n d s
3 × 1,000 = 3,000
H u n d r e d s
4 × 100 = 400
T e n s
8 × 10 = 80
O n e s
2 × 1 = 2
The value of a digit increases 10 times as we move left.
The value decreases 10 times as we move right.
Let's Solve
Q u e s t i o n
What is the place value of 5 in the number 
5,6 7 2?