Question

For any two nonzero integers, the product and quotient have the same sign. True or False

Answer 1

False. This is because no matter what the number is, the properties of multiplication and division stay the same. So, if one odd and even number multiply/divide, then the answer will be negative. But, if two numbers of the same sign (both either negative or positive) are divided/multiplied, they will both be positive. Therefore, the result is not always the same sign as the starting integers

Hope this helped! :D

Answer 2

That's a very interesting, true, factoid.

If the two integers have the same sign, then
the product and quotient are both positive.

If the two integers have opposite signs, then
the product and quotient are both negative.