An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 2, 4, 6 are even, 1, 3, 5 are odd, and so on.
Chat with our AI personalities
The sum of 5 odd numbers must be odd and 100 is even. So there cannot be such a set.
1, 3, 5, 7, 9 counting by twos to 99 are the odd numbers. 2, 4, 6, 8, 10 counting by twos to 100 are the even numbers.
The odd numbers 1-99 will be a higher total than the even numbers 2-98
You write odd or even in brackets, but most people should know if it's odd or even as odd numbers end in 1, 3, 5, 7 or 9 and even numbers end in 2, 4, 6,8 or 0.
The sum of the even numbers is (26 + 28 + ... + 100); The sum of the odd numbers is (25 + 27 + ... + 99) Their difference is: (26 + 28 + ... + 100) - (25 + 27 + ... + 99) = (26 - 25) + (28 - 27) + ... + (100 - 99) = 1 + 1 + ... + 1 There are (100 - 26) ÷ 2 + 1 = 38 terms above which are all 1; their sum is 38 x 1 = 38. So the difference of the sum of all even numbers and all odd numbers 25-100 is 38.