How many odd numbers between 1 and 101?




How many odd numbers between 1 and 101? You could just make a list of all the odd numbers between 1 and 101 and then count them, but what fun would that be?

Instead, we have created this simple process with a small formula to calculate exactly how many odd numbers there are between 1 and 101.

We start by determining the first odd number and last odd number between 1 and 101. The numbers between 1 and 101 start with 2 and end with 100. That means that the first odd number is 3 and the last odd number is 99.

Now you add 2 to the difference of the last odd number and the first odd number, and then divide the sum by 2. Here is the formula and the answer to "How many odd numbers between 1 and 101?"

N = (Last - First + 2) ÷ 2
N = (99 - 3 + 2) ÷ 2
N = 98 ÷ 2
N = 49
Odd numbers between 1 and 101 = 49


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