Question

Select the correct options.

• A. The product of 3 negative integers is a positive integer.
• B. The product of 3 negative integers is a negative integer.
• C. The product of 6 negative integers is a negative integer.
• D. The product of 6 negative integers is a positive integer.

Answer 1

Answer: (B), (D)

The correct options are
B The product of 3 negative integers is a negative integer.
D The product of 6 negative integers is a positive integer.

The sign of the product of more than 2 negative integers will vary according to the count of integers.
If the number of negative integers is odd , then the product will be a negative integer.
For ex: $(-2)\times (-3)\times (-2)=(-12)$
If the number of negative integers is even, then the product will be a positive integer.
For ex: $(-2)\times (-3)\times (-2)\times (-5)=(+60)$