Whole Numbers from 1 to 100
Whole numbers are defined as the set of natural numbers along with 0. Whole numbers from 1 to 100 are all the whole numbers falling in this range. We will be learning more about whole numbers from 1 to 100 in this article.
1. | Whole Numbers List from 1 to 100 |
2. | Sum of Whole Numbers from 1 to 100 |
3. | Average of all Whole Numbers from 1 to 100 |
4. | FAQs on Whole Numbers from 1 to 100 |
List of Whole Numbers from 1 to 100
Whole numbers can be defined as a set of natural numbers along with a 0. Whole numbers from 1 to 100 are the set of whole numbers falling in the range of 1 to 100. The smallest whole number in this range of 1 to 100 is 1 and the largest whole number is 100. There is a total of 100 whole numbers in the list of whole numbers from 1 to 100.
Let us look into the list of whole numbers from 1 to 100 as shown below.
Sum of Whole Numbers from 1 to 100
The whole numbers from 1 to 100 can be written as 1, 2, 3, 4, 5…….100 which forms an arithmetic progression (A.P). The sum of all whole numbers 1 to 100 can be calculated using the formula, S= n/2[2a + (n − 1) × d], where n = total number of whole numbers from 1 to 100, d = common difference between the two consecutive terms, and a = first term. Since there are a total of 100 whole numbers, hence n = 100. Thus, a = 1, d = 1 and n = 100.
Now, we will calculate the sum of whole numbers 1 to 100.
S = n/2[2a + (n − 1) × d]
S = 100/2[2 + (100 – 1) × 1]
S = 50 [2 + 99]
S = 5050
Therefore, the sum of whole numbers from 1 to 100 is 5050.
Average of all Whole Numbers from 1 to 100
The average of a set of observations is defined as the sum of all the observations divided by the total number of observations. It is defined as the arithmetic mean of the given set of observations. To calculate the average of whole numbers 1 to 100, we will divide the sum of whole numbers from 1 to 100 by the total number of whole numbers in the range of 1 to 100. We know that the sum of whole numbers from 1 to 100 is equal to 5050 and the total number of whole numbers in this range is 100.
Hence, the average of all whole numbers from 1 to 100 = Sum of whole numbers from 1 to 100 / 100.
= 5050/100
= 50.5
Therefore, the average of all whole numbers from 1 to 100 is 50.5.
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Whole Numbers from 1 to 100 Examples
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Example 1: Find the sum of the smallest and the largest whole numbers from the list of whole numbers from 1 to 100.
Solution: The smallest and the largest whole numbers in the list of whole numbers from 1 to 100 are 1 and 100 respectively.
Sum = 1 + 100 = 101
Therefore, the sum of the smallest and the largest whole numbers from the list of whole numbers from 1 to 100 is 101.
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Example 2: List down all the whole numbers which are multiples of 10 in the list of whole numbers from 1 to 100.
Solution: According to the divisibility rules, numbers that end with 0 are known as multiples of 10. Thus, all numbers that end with 0 in the list of whole numbers from 1 to 100 will be multiples of 10. Thus the multiples are 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100.
FAQs on Whole Numbers from 1 to 100
What are the Whole Numbers from 1 to 100?
The whole numbers from 1 to 100 is defined as all the whole numbers lying in the range of 1 to 100. The smallest and the largest whole number in this range are 1 and 100.
What is the Sum of the Whole Numbers from 1 to 100?
The sum of whole numbers from 1 to 100 is equal to 5050.
How many Whole Numbers from 1 to 100 contain the Digit 2?
There are 19 whole numbers from 1 to 100 that contain the digit 2 as follows: 2, 12, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 42, 52, 62, 72, 82, and 92.
How many Whole Numbers from 1 to 100 are Divisible by 4?
There are a total of 25 numbers that are divisible by 4 in the range of whole numbers 1 to 100 and they are as follows: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, and 100.
What is the List of all the Whole Numbers from 1 to 100 that are Perfect Squares?
The list of all the whole numbers from 1 to 100 that are perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
How many Whole Numbers are there up to 100 Including 100?
There are a total of 100 whole numbers in the range of 1 to 100 including the number 100.
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