Even Vs Odd Numbers
What are Even and Odd Numbers?
To understand even and odd numbers, let’s take a look at the first 10 numbers.
Let’s place some dice next to the numbers.
Now, there are two boxes that are red and green.
You need to make a note of all the numbers where the dice can be split equally under column A. The number of dice which cannot be split equally should be written in column B. We will work on a few examples.
So one dice can only be put in one box. Hence, it belongs in column A.
Now, let’s take a look at the next set that has two dice. Can we equally divide them into two boxes?
We can place each of the two dices in each of these boxes. This means number 2 belongs in column B.
Now we have number three. Let’s divide these numbers among these boxes.
So, we placed two dice in one box and one in the other. This means that we could not split the total number of dice equally. Hence, number “3” will also be in column A.
Now, let’s try to split the number 4 into two equal parts.
So the number “4” can be divided equally into two boxes. This means that “4” belongs to column B.
So, you can now observe that there are numbers that can easily be split into two, but others cannot. Now, why don’t you fill up the remaining numbers till ten? And after you are done, scroll down to look for the answers.
Now, back to the main question! What are odd and even numbers? All the numbers in column A are odd numbers.
And all the numbers in Column B are even numbers.
So, all the numbers that can be split into two equal portions are even numbers. The numbers that cannot be split equally into two are odd numbers.
Now, if you think and observe this table for a minute, the whole set of numbers from one to ten is such that an odd number is followed by an even number.
This pattern applies to all the numbers after 10 as well.
You can check it out for yourself as well!
Here’s a simple clue to help you figure out the difference between odd and even numbers. All you have to look at to check if a number is odd or even is the units place value.
No matter how big the number may be, if the units place digit is 1, 3, 5, 7, or 9, it is an odd number. If the units place digit is 0, 2, 4, 6, or 8, the number is even.
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Solved Even Vs Odd Numbers Examples
Example 1:
Determine if the number of the given set of objects is odd or even.
Solution:
First, count the number of toy jets.
We know that there are four toy jets given here.
“4” is an even number. Therefore, there is an even number of four toy jets.
Let’s count the number of cookies given here.
There are a total of 25 cookies. Let’s take a look at the place value of the number in the units place. It is 5, which is an odd number. So, we can say that 25 is an odd number. Therefore, there are an odd number of 25 cookies.
Example 2:
There are 9 children in a classroom. The teacher decides to split the class into two teams to play a game. Can the entire group of students be divided into two teams with an equal number of children?
Solution:
According to the question, there are nine students. We need to split them equally into two teams.
Well, even if we tried to split the number of students into two, we were not successful as there is one extra student. We could have split the number of students into two equal numbers if the total number of students was eight.
So, the answer is “No”!
A total number of nine students cannot be split into two equal teams.
Example 3:
You have a mix of basketballs and soccer balls in a basket. There are a total of eight soccer balls. The number of basketballs is one more than the number of soccer balls. Is the number of basketballs an odd or an even number?
Solution:
We are told that there are 8 soccer balls.
Eight is an even number as it can be divided into two equal parts. This means that 8 is an even number.
According to the question, the number of basketballs is one more than the number of soccer balls.
And that is, 1 + 8 = 9
So, there are nine basketballs.
Nine cannot be divided into two equal parts. This means that nine is an odd number. Therefore, the number of basketballs is an odd number.
Example 4:
There is an odd number of cakes on the shelf of a bakery. The number is more than 13 and less than 16. How many cakes are there on the shelf?
Solution.
It is given that there is an odd number of cakes in the bakery. This shows us that the units place will have one among the following numbers:
The question also says that the number is more than 13 and less than 16. There are only two numbers between 13 and 16. These are 14 and 15. Of these two numbers, 14 is the even number, and 15 is the odd number.
This shows us that the answer we are looking for is 15. There are 15 cakes on the shelf of the bakery.
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Even numbers are those that can be divided equally into two sets. Numbers that have their units place digits as 0, 2, 4, 6, and 8 are even numbers.
Examples: 98, 50, 34, 76
Odd numbers are those that cannot be divided equally into two sets. Numbers that have their units place digit as 1, 3, 5, 7, and 9 are even numbers.
Examples: 89, 65, 33, 27, 111