How many odd numbers are between 81 and 1453?

Answer 1

The answer is 685 odd numbers, 686 even numbers "between" 81 and 1453. If it said "to" you would include them.

- 82 through 100 is 9 odd numbers and 10 evens

- there are 50 (half) even/odd numbers per 100, so 100-1400 is 13 x 50 = 650 of each even/odd

- there are 26 odd numbers, 26 even numbers in the remaining 52, since between doesn't include 1453.

- total odd numbers is 9 + 650 + 26 = 685

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The number range counting from 81 up to 1453 is 1453 - 81=1372, in which half the numbers are odd numbers or 1372/2 = 686. Since the question said "between" you would also have to exclude 1453, so the total result is 685.

To test this, add twice 685 (1370) to 81 (one for each successive even then odd number) and you get 1451, the last odd number before 1453.

*If you want the total of odd numbers from 1 to 1453 (including those numbers), it is 727: the number range includes 1453 numbers, 727 odd numbers and 726 even numbers. There are no half numbers.

Answer 2

The answer is 685 odd numbers, 686 even numbers "between" 81and 1453. If it said "to" you would include them.- 82 through 100 is 9 odd numbers and 10 evens- there are 50 (half) even/odd numbers per 100, so 100-1400 is 13 x50 = 650 of each even/odd- there are 26 odd numbers, 26 even numbers in the remaining 52,since between doesn't include 1453.- total odd numbers is 9 + 650 + 26 = 685---The number range counting from 81 up to 1453 is 1453 - 81=1372, inwhich half the numbers are odd numbers or 1372/2 = 686. Since thequestion said "between" you would also have to exclude 1453, so thetotal result is 685.To test this, add twice 685 (1370) to 81 (one for each successiveeven then odd number) and you get 1451, the last odd number before1453.*If you want the total of odd numbers from 1 to 1453 (includingthose numbers), it is 727: the number range includes 1453 numbers,727 odd numbers and 726 even numbers. There are no half numbers.