Odd & Even Numbers: Complete Lesson

What are Odd and Even numbers?

An integer that can split by 2 is an even number, while an integer that cannot be divided by 2 is an odd number. They can be either positive or negative. Odd numbers are perpetually in between the even numbers vice versa.

To distinguish between the even and odd numbers, you continuously try to find their end figure. You will always find the last digit of an even number 0, 2, 4, 6, or 8. Simultaneously, the last digit of an odd number is still 1, 3, 5, 7, or 9.

Examples

A couple of examples of even numbers are:

-22, -10, 0, 6, 18, 234.

The above numbers are even since they end with 0, 2, 4, 6 or 8.

A few instances of odd numbers are:

-101, -17, 1, 9, 23, 985.

The above numbers are odd since they finish with 1, 3, 5, 7 or 9.

Characteristic

The odd and numbers have exceptional homes relating to the algebraic procedures (addition, subtraction and multiplication). Whenever we use algebraic methods to 2 even or odd numbers, we continuously obtain an even or odd number. We omit division below because it sometimes gives you the result infraction while chatting down concerning the unique properties.

When we include or subtract two even numbers, the outcome is always an even number.

For example, 6 + 4 = 10

6– 4 = 2

When we add or deduct an even number and an odd number, the outcome is constantly an odd number.

For example, 7 + 4 = 11

7– 4 = 3

When we include or subtract two odd numbers, the outcome is constantly an even number.

For instance,7 + 3 = 10

7– 3 = 4

When we multiply two even numbers, the outcome is continuously an even number.

For example,

6 × 4 = 24

When we increase an even number and an odd number, the outcome is always an even number.

For example,

7 × 4 = 28

When we multiply two odd numbers, the outcome is always a peculiar number.

Learn about Lesser or greater than symbol.

For example,

7 × 3 = 21

Generalization of Odd and Even Numbers

We can generalize the even as well as odd numbers as well. For example, if ‘n’ is an again number, the next odd number is ‘n + 1′, and the following even the number is + 2’, and so forth. Similarly, if ‘n’ is an odd number, the following is even the number is n + 1′, and the next odd number is ‘n + 2’, and so on.

For instance, if we intend to compose a series of five odd numbers beginning from 73, we can write it as:

73, 73 + 2, 73 + 4, 73 + 6, 73 + 7

73, 75, 77, 79, 81