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Any set of three odd integers must be odd - for example, 3 + 5 + 7 = 15. Similarly, the sum of an even number of odd integers added together will always be an even integer.
To find the sum of all odd numbers between 9 and 15, we first identify the odd numbers between these two values, which are 9, 11, 13, and 15. Next, we add these numbers together: 9 + 11 + 13 + 15 = 48. Therefore, the sum of all odd numbers between 9 and 15 is 48.
By addition, the sum of an odd number and an even number is always odd. (3 + 2 = 5, 7 + 10000 = 10007 ~ not evenly divisible by 2) By multiplication, an odd number times an even number is always even. (3 x 4 = 12 , 15 x 30 = 450 ~ evenly divisible by 2)