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Multiplication of Integers

The product o...

Question

The product of each negative integer with $- 1$ is always ______.

A

Positive

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B

Negative

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C

0

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D

Not defined

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Solution

The correct option is D Positive
$- 1$ is a negative integer and we get a positive quantity when we multiply two negative quantities. Hence, if any negative integer will be multiplied by $- 1$ result will be positive always.

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Q. State true or false.
(i) The product of a negative and a positive integer may be zero.
(ii) The product of two negative integers is always positive.
(iii) The product of two integers with opposite signs is the same as the product of their absolute values.
(iv) If exactly one of the three given integers is negative, then product is always negative.
(v) The product of any two positive or any two negative integers is always smaller than the integers.

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Q. Which of the following statements are true?
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(iii) Of the two integers, if one is negative, then their product must be positive.
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(v) The product of a negative and a positive integer may be zero.
(vi) There does not exist an integer b such that for a> 1, a × b = b × a = b.

Q. Product of two integers with different signs is always a negative integer.

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