Odd and Even Numbers

1
Odd and Even Numbers
Odd Number
Even Number
2
Is 1 an odd number?
1 is an odd number.
I cant give 1 present to 2 people.
Raju
Ahmad
3
Is 3 an odd number?
3 is an Odd number.
Group B
Group A
Im the odd one out.
4
Is 5 an odd number?
5 is an odd number.

Heres 1 odd one out.
Basket A
Basket B
5
Rule 1 When an odd number is divided by 2, it
will have a remainder of 1.
Example 5 ? 2 2 R 1 2 ? 5

2
R 1
- 4
Remainder
1
5 is an Odd Number.
6
Rule 2 Any number that has the digit 1 or 3 or
5 or 7 or 9 in its Ones placing is an Odd Number.
1, 3, 5, 7 and 9 are odd numbers in ones placing.
2
3
R 1
Proof (Back to rule 1) 47 ? 2
23 R 1 2 ? 4 7




Example 4 7 is an odd number because the digit
in the ones placing is 7.
-4
7
0 7
- 6
1
7
We can apply Rule 2
5 2 6 9 is an odd number
because the digit in the ones placing is 9.
9
Is 5 269 an odd number?
We can also apply Rule1 5 269
? 2 2 634 R 1 2 ? 5 2 6 9
When an odd
number
is divided by 2, it will have a
remainder of 1.


2
6
R 1
3
4
-4
1
2
- 1 2
0 6
- 6
0 9
- 8
1
8
Lets make our own 4-digit odd numbers.
I have the following numbers Thousands
Hundreds Tens Ones 2 6
8
?
1
3
5
7
9
Rule 2 Any number that has the digit 1 or 3 or
5 or 7 or 9 in its Ones placing is an Odd Number.
The digit in the Ones placing is missing. Please
apply Rule 2 to form as many odd numbers as
possible.
9
2 is an even number.
Is 2 an even number?
No more present left.
Ahmad
Raju
10
Is 4 an even number?
4 is an even number.

• There is no left over or remainder.

Bowl A
Bowl B
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Rule 3 When an even number is divided by 2, it
will have no remainder.
Example 6 ? 2 3 2 ? 6

3
- 6
0
No remainder
6 is an Even Number.
12
Think hard ! Is 0 an even or odd number?
We know that 0 x 2 0
Lets apply Rule 3. 0 ? 2 0 There is no
remainder.
Therefore, 0 is an even number.
13
Rule 4 Any number that has the digit 0 or 2 or
4 or 6 or 8 in its Ones placing is an Even number.
0, 2, 4, 6 and 8 are even numbers in ones placing.
2
5
Proof (Back to rule 1) 50 ? 2
25 2 ? 5 0




Example 5 0 is an even number because the digit
in the ones placing is 0.
-4
0
1
0
-1 0
0
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We can apply Rule 4
3 6 7 8 is an Even Number
because the digit in the ones placing is 8.
8
Is 3 678 an even number?
We can also apply Rule 3 3 678
? 2 1 839 2 ? 3 6 7 8
When
an even number
is divided by 2, it will have
no remainder.


1
8
3
9
-2
1
6
- 1 6
0 7
- 6
1
8
- 1 8
0
15
Lets make our own 4-digit Even Numbers.
I have the following numbers Thousands
Hundreds Tens Ones 5 7
9
?
0
2
4
6
8
Rule 4 Any number that has the digit 0 or 2 or
4 or 6 or 8 in its Ones placing is an Even
Number.
The digit in the Ones placing is missing. Please
apply Rule 4 to form as many even numbers as
possible.
16
Lets revisit what we have learned.
What is an Odd Number?
Rule 1 When an odd number is divided by 2,
it will have a remainder of 1.
Rule 2 Any number that has the digit 1 or 3 or
5 or 7 or 9 in its Ones placing is an Odd Number.
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What is an Even Number?
Rule 3 When an even number is divided by 2,
it will have a remainder of 1.
Rule 4 Any number that has the digit 0 or 2 or
4 or 6 or 8 in its Ones placing is an Even
Number.