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How do you use inductive reasoning to prove the product of an odd integer and an even integer will always be even?
The product of an odd and even number will always have 2 as a factor. Therefore, it will always be even.
What is the result of product of even numbers and odd numbers?
If you multiply one even number by one odd number, the result is always even. In general, if you multiply several numbers, and at least one of the numbers is even, the product is always even. This is because "even" means "multiple of 2", and if one of the factors contains a 2 as a factor, so will the product.
Why are some odd numbers composite?
Some. Any product of a set of odd numbers will be odd. To be even, a composite number must have at least one even factor. Therefore odd composite numbers must exist.
How are odd and even products related to their factors?
2 cannot be a factor of an odd number, 2 must be a factor of an even number.
What determines the sign of a product?
The sign of the factors. These are the rules: * If there is a zero factor, the product is zero. * If there is an even number of negative factors (two, four, six, etc. odd factors), the product is positive. * If there is an odd number of negative factors (one, three, five, etc. odd factors), the productd is negative.
