Grade 2 Math Even and Odd Numbers
Even and Odd Numbers
What is an Even number?
Any natural number that can
be divided into two equal natural numbers is called an Even number. The numbers
1,2,3….infinity are natural numbers.
Example: 2,4,6,8, ……
2 = 1 + 1 [ 1 is not a natural number]
4 = 2 + 2 [ 2 is not a
natural number]
6 = 3 + 3 [ 3 is not a
natural number]
8 = 4 + 4 [ 4 is not a
natural number]
So, it is shown that even
numbers can be divided into two equal natural numbers.
What is an Odd Number?
Any natural number that can
not be divided into two equal natural numbers is called an Odd number.
Example: 1,3,5,7,….
1 ÷ 2 = ½ [ ½ is not a natural number]
3 ÷ 2 = 1.5 [ 1.5 is
not a natural number]
5 ÷ 2 = 2.5 [ 2.5 is
not a natural number]
7 ÷ 2 = 3.5 [ 3.5 is
not a natural number]
So, it is shown that even
numbers cannot be divided into two equal natural numbers.
Difference Between Even and
Odd Numbers:
|
|
Even Numbers
|
Odd Numbers
|
|
1
|
Even number = 2n,
where n is a natural number |
Odd number = 2n+1,
where n is a natural number |
|
2
|
Even number can be
divided into two equal natural numbers |
Odd number cannot
be divided into two equal natural numbers |
|
3
|
Even numbers ending
with 0,2,4,6,8 |
Odd numbers ending
with 1,3,5,7,9 |
|
4
|
Example: 2,4,6,8,10,..
|
Example: 1,3,5,7,9,..
|
|
5
|
The sum of
two even numbers is always even |
The sum of
two odd numbers is always even |
|
6
|
The product of two
even numbers is always even |
The product of two
odd numbers is always odd |
1. Prove that an even number + 1 = an odd number.
Solution:
We know,
Even number = 2n [n = natural number]
∵ 2✕1=2, 2✕2=4, 2✕3=6…..
So, 2,4,6,… are even numbers.
Now, 2 + 1 = 3 is an odd number.
4 + 1 = 5 is an odd number.
6 + 1 = 7 is an odd number.
So, an even number + 1 = an odd
number [Proved]
2. Tick for odd numbers
and cross for even numbers from 1 to 10.
Solution:
First, find out the numbers 1
to 10 as even or odd.
So, the tick or cross out
results is as follows:
|
1
|
√
|
|
2
|
✕
|
|
3
|
√
|
|
4
|
✕
|
|
5
|
√
|
|
6
|
✕
|
|
7
|
√
|
|
8
|
✕
|
|
9
|
√
|
|
10
|
✕
|
3. The missing odd
number is _____?
249, ____, 253, 255.
Answer: 251