Question

The product of each positive integer with $ - 1$ is always:
A. Positive
B. Negative
C. $0$
D. None of these.

Answer 1

Hint: Here we just need to know that when we need to find the product of two numbers which have opposite signs then their product will always be negative while if they are of the same sign then their product will always be positive.

Complete Step by Step Solution:
Here we are given that we need to find the product of the two numbers. One of the numbers mentioned in the given problem is $ - 1$ and the other is just a random any positive integer. we must know that the positive integers are the numbers that are starting from $1$ and move on like $1,2,3,4,.........$ and so on. Hence we can say that the positive integers are nothing but all the natural numbers.
When we multiply the numbers that are off the same sign the result is positive while when we multiply the two numbers that possess the opposite signs then their multiplication result is always negative.
For example: If we have two numbers $\left( { - 1} \right){\text{ and }}\left( { - 2} \right)$ then their product will be $ + 2$ as they both numbers have the same sign.
Similarly here we are given two numbers one in positive integer and another is negative which is given as $ - 1$ so their product will also be negative.

Hence we can say that B) is the correct option.

Note:
This can also be valid for the division. When we divide two numbers with the same sign their result is always positive while when the two numbers are of opposite signs their result is negative.