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.
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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.
The product.
When you multiply a positive number by another positive number, the result is always positive. For instance, multiplying 3 (positive) by 2 (positive) gives 6 (positive). If you multiply a positive number by a negative number, the result is negative. Thus, the sign of the product depends on the signs of the numbers being multiplied.
a pure real number
When you add them, you always get an even number; when you multiply them, the result is always odd.
its always an even number....im pretty sure.
The product.
When you multiply a positive number by another positive number, the result is always positive. For instance, multiplying 3 (positive) by 2 (positive) gives 6 (positive). If you multiply a positive number by a negative number, the result is negative. Thus, the sign of the product depends on the signs of the numbers being multiplied.
a pure real number
That is correct.
When you add them, you always get an even number; when you multiply them, the result is always odd.
its always an even number....im pretty sure.
the result is always even
The result always ends in a zero
When you multiply a positive number by another positive number greater than one, the result is always greater than the original positive number. This is because multiplying by a number greater than one increases the value of the original number. For example, if you multiply 3 (a positive number) by 2 (a positive number greater than one), the result is 6, which is greater than 3.
NO!! When multiplying/dividing X - X - X = + X - = - Note ; when you mukltiply/divide the first pair of negative number, they produce a positive answer. To this positive answer you then multiply another negative number giving a negative answer.
No, never.
When you multiply an odd number by an even number, you are essentially adding an even number of odd numbers together. Since adding an even number of odd numbers will always result in an even number, the product will be even.