Question

Give an example to show that the product of

(a) an even number of negative integers is positive .

(b) an odd number of negative integers is negative.

Answer 1

(a) the product of even number of negative integers is positive

Example, $-4\times -2=8$

As, by the rule of multiplication $-\times -=+$

In multiplication the product of two like signs is positive.

(b) The product of odd numbers of negative integers is negative.

For example , $-3\times -4\times -2=-3\times (-4\times -2)$

$=$$-3\times 8$

$=-24$

In multiplication the product of two unlike signs is negative.

Hence , the product of even numbers of negative integers is positive and odd number of negative integers is negative.