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

Question

Guest

Mathematics

7 December, 18:57

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

+2

Answers (2)

Know the Answer?

Aditya Solomon · Answer 1

The correct answers are:

When one of the integers is negative; and

when one of the integers is 1.

Explanation:

When we multiply a positive number and a negative number, the product will be a negative number. Since we multiplied it by a positive, this means that it will be farther into the negative area of a number line, which makes it smaller than the negative factor. Since the answer is negative, this makes it smaller than the positive factor.

When we multiply any integer by 1, we end up with the other factor we've multiplied by. This makes the answer equal to the factor.

Kathleen Barber · Answer 2

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 '.