Why is the sum of two odd numbers even?
1 answer:
Answer:
a) and b) in photo.
there is no point left outside the circles, then 11+15 is even.
c) yes it is, because if both numbers are odd, they will have one point outside the circles each, and those two points will form an other pair.
odd number: 2n+1
even number: 2m
(m and n represent any natural number)
2n+1 + 2k+1= <em>the sum of two odd numbers</em>
=2(n+k) +2
=2(n+k) +2 =2(n+k+1)
<em>the sum of 3 natural numbers will be a natural number too. let be m=n+k+1 with m n and k natural numbers.</em>
=2m <em>even number</em>
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