Question

Tick the correct answer :

Which of the following product is a positive integer:

• A. $-2\times 3$
• B. $(-2)\times (-3)$
• C. $2\times (-3)$
• D. None of these

Answer 1

The correct option is B

$(-2)\times (-3)$

When we multiply two integers $a$ and $b$ then we get some cases:

Case 1:$a\times b=ab$

Case 2:$-a\times b=-ab$

Case 3:$a\times (-b)=-ab$

Case 4:$(-a)\times (-b)=ab$

So we can easily see that in two cases we get the positive product.

In option(A) $(-2)\times 3=(-6)$

In option(B) $(-2)\times (-3)=6$

In option(C) $2\times (-3)=(-6)$

Therefore, option(B) is the correct answer.