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Why is the sum os an even and odd number a odd number?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
When you take one from an even number is the answer an odd or even number?
It is always an odd number
Is the sum of two square consecutive numbers an odd number?
Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
Why is it when you multiple a number by two always an even number?
It's just one of those laws of maths. It can be used as an indication to whether the answer could be right. It's similar to even + even = even Even + odd = odd Odd + odd = even
When an odd number is divided by 2?
It never comes out even. There is always one left over when you an odd number by two.
