Odd Numbers 1 to 100
Odd numbers 1 to 100 consist of all odd numbers that come between 1 to 100. Odd numbers are the counting numbers whose last digit or ones place digit is 1, 3, 5, 7, or 9. In other words, these numbers cannot be equally divided into pairs. In other words, the numbers that are not even numbers are odd numbers. For example, 51, 23, 67, 89 are a few numbers that come in the category of odd numbers 1 to 100. There are a total of 50 odd numbers that come between 1 to 100. Let us learn more about odd numbers from 1 to 100.
1. | Odd Numbers 1 to 100 Chart |
2. | Sum of All Odd Numbers 1 to 100 |
3. | FAQs on Odd Numbers 1 to 100 |
Odd Numbers 1 to 100 Chart
A chart of odd numbers from 1 to 100 will help you to list down all odd numbers from 1 to 100. This is made with the help of a simple formula in which we add 2 to the previous odd number to obtain the next odd number. For example, if we add 2 to the first odd number, i.e., 1, we get 1 + 2 = 3, which is the next odd number in the given chart. Similarly, 3 + 2 = 5, 5 + 2 = 7, 7 + 2 = 9, and so on. The last number in the chart of odd numbers 1 to 100 given below is 99, as, if we add 2 to 99, we will get 101 which is greater than 100. So, 99 is the last odd number in the list of odd numbers from 1 to 100.
Sum of All Odd Numbers 1 to 100
The sum of all odd numbers from 1 to 100 can be found by using the formula, S=n/2(first odd number + last odd number), where n is the total number of odd numbers from 1 to 100. There are a total of 50 odd numbers , so n = 50. So, by substituting the values, we get,
S = 50/2(1 + 99)
S = 25 × 100
S = 2500
So, the sum of all odd numbers from 1 to 100 is 2500.
Important Notes on Odd Numbers
- 99 is the greatest two-digit odd number.
- There are a total of 50 odd numbers between 1 to 100.
- 1 is the smallest odd number.
- Numbers that are not even numbers, are odd numbers.
- The sum of all the odd numbers from 1 to 100 is 2500.
- The average or mean of all odd numbers 1 to 100 is 50.
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Examples of Odd Numbers 1 to 100
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Example 1: Determine whether 34 is an odd number or not.
Solution: As per the odd numbers 1 to 100 chart, 34 is not an odd number. This is because the digit in ones place is 4 which is even. Also, 34 is divisible by 2. Therefore, it is not an odd number.
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Example 2: Find the sum of the largest and the smallest odd numbers from the list of odd numbers 1 to 100.
Solution: As per the list of odd numbers 1 to 100, the largest odd number is 99 and the smallest odd number is 1. So, the required sum is 99 + 1 = 100.
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Example 3: Which digit should come in the blank to make it an odd number greater than 55 and less than 59?
Solution: Only 1 odd number is there between 55 and 59, which is 57. Therefore, 7 should come in the blank and the number so formed is 57. We can verify our answer with the help of the odd numbers 1 to 100 chart given above.
FAQs on Odd Numbers 1 to 100
What are the Odd Numbers 1 to 100?
Odd numbers from 1 to 100 are all those numbers, within this range, that are not divisible by 2. The odd numbers from 1 to 100 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.
How to Find the Sum of Odd Numbers 1 to 100?
The sum of all odd numbers from 1 to 100 is 2500. The total number of all numbers in this range is 50 in which 1 is the smallest and 99 is the greatest odd number. So, by applying these values in the formula: S = n/2(first odd number + last odd number), we get S = 2500.
What is the Average of Odd Numbers 1 to 100?
The average of odd numbers 1 to 100 is 50. This is calculated by using the formula of average, which states that Average = Sum of all values/Total number of values. Here, the sum of values is 2500 and the total number of odd numbers from 1 to 100 is 50. So, average = 2500/50 = 50. Therefore, 50 is the average of odd numbers 1 to 100.
How to Find Odd Numbers 1 to 100?
To find the odd numbers, we use the formula 2n -1, where n is the count of the odd number. For example, the first odd number is (2 × 1) - 1 = 1, the second odd number is (2 × 2) - 1 = 3, and the last odd number will be (2 × 50) - 1 = 99.
Which is the Largest Odd Number in the List of Odd Numbers 1 to 100?
99 is the largest odd number in the list of odd numbers from 1 to 100. The next odd number will be 101 which is greater than 100. So, 99 is the greatest two-digit odd number.
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