Parent asking for grade 4 student. Why is the sum of an odd number and an even number always odd?
Thank you Let's ignore negative integers to keep it simple. The even integers are the multiples of 2: The remaining integers 1, 3, 5, 7, 9, 11, 13, ... are the odd integers  each odd number is one more than an even number, that is they all have the form Thus if we add an even and an odd integer we have even + odd = even + (even +1) = (even + even) +1 = even + 1 = odd. For a grade 4 some examples would help
4 + 7 = 4 + (6 + 1) = (4 + 6) + 1 = 10 + 1 = 11 Hope this helps, Penny Nom
