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Rene
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What number do you get when you multiply an odd number and an even number?
An even number.
When you multiply an even number by an odd number what would it be?
an even number.
What combination of numbers always results in an odd number?
Multiply two odd numbers Add an even and an odd Subtract an odd and an even
What if you multiply an even number by an odd number what kind of number do you get?
you would get an even number!
Why if you multiply odd number with another number the result is always odd number?
Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd. ========================== You've just read a truly impressive answer to a question slightly different from the one that was asked. The part of the question that comes after "Why if ..." is a false statement. If you multiply odd number with another number, the result is odd number ONLY if the nother number is also odd number.
