Solved Examples of Odd Numbers 1 to 100
Example 1: How many odd numbers are between 1 and 150 (including 1 and 150)?
Solution:
Every other number is an odd number thus half of the all the numbers are odd.
So, between 1 and 150 (including 1 and 150), there are 150 numbers,
Thus, half of 150 number are odd.
There are 75 odd numbers between 1 and 150.
Example 2: Find the units digit of 3201.
Solution:
The units digit of any power of 3 is cyclical and follows a pattern. The pattern for 3 is 3, 9, 7, 1.
Therefore, the units digit of 3201 is the same as the units digit of 3x where x is the remainder when 201 is divided by 4.
and the remainder when 201 is divided by 4 is 1, so the units digit of 3201 is the same as the units digit of 31, which is 3.
Therefore, the unit digit of 3201 is 3.
Example 3: Find the product of all odd numbers between 1 to 9.
Solution:
Odd numbers between 1 to 9 are 1, 3, 5, 7, 9.
Product of all odd numbers between 1 to 9 are
= 1 × 3 × 5 × 7 × 9
= 945
Example 4: Determine whether the following numbers are even or odd,
- 73
- 2 + 4 + 6 + 8
- 99 – 67
Solution:
73 is not divisible by 2, so it is an odd number
Sum of first four even numbers is 2 + 4 + 6 + 8 = 20. Since 20 is divisible by 2, it is not an odd number, so it is an even number
99 – 67 = 32. Since 32 is divisible by 2, it is not an odd number, so it is an even number
Thus, only 73 is Odd Number
Example 5: Find the sum odd numbers from 10 to 20.
Solution:
Odd Numbers from 10 to 20 are 11, 13, 15, 17
Sum = 11 + 13 + 15 + 17
Sum = 56
Thus, the sum of odd numbers from 10 to 20 is 56.
Example 6: Find the difference of 27 and 13
Solution:
Difference of 27 and 13
= 27 – 13
= 14
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
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