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Multiplication of Integers

Product of tw...

Question

Product of two negative integers is always a ______ integer.

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Solution

Product of two negative integers is always a positive integer.
For ex:- $- 2 \times - 3 = 6$ , $- 1 \times - 4 = 4$ etc.
Hence, the required answer is ‘positive’.

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Q. Which of the following statements are true?
(i) The product of a positive and a negative integer is negative.
(ii) The product of three negative integers is a negative integer.
(iii) Of the two integers, if one is negative, then their product must be positive.
(iv) For all non-zero integers a and b, a × b is always greater than either a or b.
(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.

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Q. Which of the following statements are true:

(i) −13 > −8 − (−2)
(ii) −4 + (−2) < 2.
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(iv) If a and b are two integers such that a > b, then a − b is always positive integer,
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(i) The product of a positive integer and a negative integer is negative.
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