Question

Which of the following statements are TRUE? Select ALL true statements. (HINT: try different numbers to check each statement.)

Answer 1

Let's analyse the alternatives:

First of all, we need to consider 0 (zero) that is not positive nor negative number.

First one: we have a negative number --> the opposite is a positive number --> the opposite of the positive number is a negative number. So this sentence is TRUE.

Second one: The absolute value of a number is always positive so the absolute value of 4 is equal to 4 and the opposite value of the absolute value of 4 is -4 so it is not the same. So this sentence is False.

Third one: For all numbers instead of 0 (zero) the absolute values must be positive, but once 0 is a number and we can not consider it positive or negative this sentence is False.

Fourth one: The absolute value of a negative number is a positive number and the value of the opposite number of this negative number is also a positive number so this sentence is TRUE.

Fifth: Well, once zero has no opposite, this sentence is FALSE.

Sixth: We already know there is a number (zero) that is not positive or negative, so this sentence is FALSE.