Question

What will be the sign of the product if we multiply the following?
10 negative integers and I positive integer
24 negative integers and 18 positive integers
117 negative integers and 3 positive integers
199 negative integers and 20 positive integers
​

Answer 1

The answers to the question given above are (a) positive (b) positive (c) negative (d) negative

• To solve this question, we need to know some rules. These rules are: (+) × (+) = (+); (+) × (-) = (-); (-) × (+) = (-); (-) × (-) = (+)
• 10 negative integers and 1 positive integer: Two negative integers give a positive integer. That means for negative integers to be positive we need an even number. 10 is an even number. So, the product will have a positive sign.
• 24 negative integers and 18 positive integers: 24 is again an even number and the product of an even number of negative integers will give us a positive number. The required product has a positive sign.
• 117 negative integers and 3 positive integers: 117 is an odd number. We need a single negative integer to make a product with a negative sign. Thus, the product has a negative sign as (-) multiplied by (+) will give us (-).
• 199 negative integers and 20 positive integers: 119 again is an odd number. So, the product will have a negative sign.

#SPJ1