How many odd numbers between 1 and 824?




How many odd numbers between 1 and 824? You could just make a list of all the odd numbers between 1 and 824 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 824.

We start by determining the first odd number and last odd number between 1 and 824. The numbers between 1 and 824 start with 2 and end with 823. That means that the first odd number is 3 and the last odd number is 823.

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 824?"

N = (Last - First + 2) ÷ 2
N = (823 - 3 + 2) ÷ 2
N = 822 ÷ 2
N = 411
Odd numbers between 1 and 824 = 411


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