Rules for Operations on Even and Odd Numbers (Examples) - BYJUS

# Operations on Even and Odd Numbers

Even numbers can be equally divided into two equal parts and odd numbers cannot be equally divided into two equal parts. Basic operations like addition and subtraction yield interesting results when we look at odd and even numbers. The sum of two odd numbers and the sum of two even numbers is always an even number. But the sum of an odd number and an even number is always an odd number. This is true for bigger numbers as well....Read MoreRead Less

## Operations on Even and Odd Numbers

We already know that even numbers are those that can be equally divided into two parts. Whereas, odd numbers are those that cannot be equally divided into two parts. For now, we will discuss what happens when odd numbers and even numbers are added together.

On adding two odd numbers together, we get the following results:

5 + 11 = 16

Similarly, even if we take larger numbers like

23 + 25 = 48

55 + 33 = 88

We can understand that the sum of two odd numbers is odd.

When adding two even numbers together, you always get an even number as the result.

2 + 4 = 6

The same applies to larger numbers as well.

36 + 42 = 78

38 + 4 = 42

When adding an odd number and an even number, an odd number is obtained.

2 + 5 = 7

When doing the same for larger numbers, we get the sum of an odd and an even number as the result, which will be an odd number.

24 + 33 = 57

48 + 35 = 83

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## Solved Examples

Question 1:

Break down and show the following numbers as the sum of two even numbers, two odd numbers, or an odd and an even number. Also, mark the boxes accordingly.

Solution:

1) 20

9 + 11 = 20

Here, an odd number plus an odd number gives an even-numbered solution.

2) 11

6 + 5 = 11

Here, the sum of an even number and an odd number gives us an odd number.

3) 10

4 + 6 = 10

Here, the sum of an even number and another even number gives us an even number.

Question 2:

You eat 9 chocolates each day of the week. How many chocolates would you have eaten in total by the end of the week?

Solution:

Given below is a representation of the total number of chocolates consumed:

You ate nine chocolates on the first day of the week, which is Sunday, and you keep having chocolates on subsequent days till the end of the week. So, the total number of chocolates eaten will be:

9 + 9 + 9 + 9 + 9 + 9 + 9 = 63

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