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If you multiply -1 by itself 10 261 times will the answer you get be positive or negative explain your reasoning?
I think it would be a negative answer because if you do it that many times and it is odd number it is most likely to be a negative answer than a positive answer. If you multiply a negative by another negative an even number of times, it will be even, but if it is done an odd number of times, like in your example, the result will be an odd 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.
Why when you multiply an odd number by a even does it always equal a even?
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.
What is true about two odd numbers?
When you add them, you always get an even number; when you multiply them, the result is always odd.
What number do you get when you multiply an odd number and an even number?
An even number.
