Properties of Odd Numbers
All the Odd numbers can be represented as 2k + 1, where all k belongs to integers. For example, 13 can be written as 2 × 6 + 1, -11 can be written as 2 × (-6) + 1, and 21 can be written as 2 × 10 + 1, etc.
There are various property of odd numbers explained in the table below,
Property | Operation | Example |
---|---|---|
Property of Addition | Odd + Odd = Even |
3 + 7 = 10 |
Property of Subtraction | Odd – Odd = Even |
7 – 3 = 4 |
Property of Multiplication | Odd × Odd = Even |
3 × 7 = 21 |
All these properties are explained in detail below:
Property of Addition
- Addition of two Odd Numbers results in an Even Number.
- For example, 1+3=4, 5+11=16, and -3+5=2 etc.
- Addition of one Odd and one Even number results in an Odd Number.
- For example, 2+3=5, -1,4=3, and 11+4=15 etc.
Property of Subtraction
- Subtraction between two Odd numbers always results in an even number.
- For example, 3-5=-2, 7-1=6, and -5-3=-8 etc.
- Subtraction between one Odd and one Even number always results in an Odd number.
- For example, 1-4=-3, -1-2=-3, and 2-5=-3, etc.
Property of Multiplication
- Multiplication of two Odd numbers always results in an Odd number.
- For example, 3×5=15, 1×17=17, and 13×5=65 etc.
- Multiplication of one odd and one even number always results in an Even number.
- For example, 4×5=20, 2×13=26, and 11×4=44 etc.
Odd Numbers 1 to 100
Odd numbers 1 to 100 in maths are numbers that are divided by two resulting in the remainder as one. Suppose we are given a number and its division by two results one as the remainder then it is an odd number.
For identifying odd numbers the trick is that the ones digit of the odd number is always 1, 3, 5, 7, and 9. For example, 91, 45, 77, 3, etc all are odd numbers. Odd numbers can also be negative and their examples are, -61, -13, -27, etc.
In this article, we will learn about what are odd numbers, a list of odd numbers 1 to 100, and examples of odd numbers in detail.
Table of Content
- What are Odd Numbers?
- Odd Numbers 1 to 100 Chart
- How to Identify Odd Numbers?
- Even and Odd Numbers
- Sum of Odd Numbers from 1 to 100
- Odd Prime Numbers from 1 to 100
- Properties of Odd Numbers
- Types of Odd Numbers