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Question

The product of two negative integers is an integer.

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Solution

$M u l t i p l i c a t i o n r u l e o f i n t e g e r s : R u l e : T h e p r o d u c t o f t w o n e g a t i v e i n t e g e r s i s p o s i t i v e . E x a m p l e : F o r e x a m p l e i f t h e q u e s t i o n i s - 6 \times (- 5), t h e n t h e a n s w e r w i l l b e a s f o l l o w i n g - 6 \times (- 5) = + 30$

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Q. Which of the following statements are true and which are false?

(i) The product of a positive and a negative integer is negative.
(ii) The product of two negative integers is a negative integer.
(iii) The product of three negative integers is a negative integer.
(iv) Every integer when multiplied with −1 gives its multiplicative inverse.
(v) Multiplication on integers is commutative.
(vi) Multiplication on integers is associative.
(vii) Every nonzero integer has a multiplicative inverse as an integer.

Q. Which of the following statements are true and which are fals?
(i) The product of a positive integer and a negative integer is negative.
(ii) The product of two negative integers is a negative integer.
(iii) The product of three negative integers is a negative integer.
(iv) Every integer when multiplied with −1 gives its multiplicative inverse.

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.

The product of three negative integers is a integer. [negative/positive]

Product of two negative integers is always a ______ integer.

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