When is the product of two nonzero integers less than or equal to both of the two factors?

The correct answer is:
When one of the factors is negative and one is positive.
Explanation :
Multiplying two positive numbers would result in a positive answer that is larger than both of the factors.
Multiplying two negative numbers would result in a positive answer; this would by definition be larger than both of the factors.
Multiplying a positive by a negative number results in a negative number, and it would be a negative number that is farther away from zero than the negative factor. Since the product is negative, it is smaller than the positive factor; since it is farther from zero than the negative factor, it is smaller than the negative factor.

Answered by MsEHolt | 2024-06-11

If the factors are both non-zero integers, then
-- Their product is less than either factor when one and only one of them is negative.
-- Their product is equal to one of the factors when they're both positive and one of them is ' 1 '.

Answered by AL2006 | 2024-06-24

The product of two nonzero integers is less than or equal to both factors when one factor is positive and the other is negative, resulting in a negative product. This negative product is less than the positive factor and closer to zero than the negative factor. Understanding this concept is crucial for working with integers in mathematics.
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Answered by MsEHolt | 2024-10-10