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

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10-11-2014
Mathematics

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

Sagot :

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AL2006 AL2006 · Answer 1 · 2014-11-10T22:28:59-05:00

AL2006 AL2006

10-11-2014

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 '.

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MsEHolt MsEHolt · Answer 2 · 2018-08-16T20:39:48-04:00

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.

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

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