Question

Check whether the given statement is true or false? (i) Sum of two positive integers is a positive integer
(ii) Sum of two negative integers is a negative integer
(iii) Product of two positive integers is a positive integer.
(iv) Product of two negative integers is a negative integer.

Answer 1

(i) True, the sum of two positive integers is always a positive integer.
Ex. 2 + 3 = 5 ( positive integer)
(ii) True, the sum of two negative integers is always a negative integer.
Ex. - 2 - 3 = -5 (Negative integer)
(iii) True, the product of two positive integers is always a positive integer.
Ex. $2\times 3=6$ (Positive integer).
(iv) False, product of two negative integers is not a negative integer.
Ex. $(-2)\times (-3)=6$ (Positive integer).