Which of the following describes the sum in terms of p and q?(1 point)
The sum p+(−q) is the number located a distance |q| from p in the negative direction.
The sum , p plus left parenthesis negative q right parenthesis, is the number located a distance , Start Absolute Value q End Absolute Value, from , p, in the negative direction.
The sum p+(−q) is the number located a distance |q| from p in the positive direction.
The sum , p plus left parenthesis negative q right parenthesis, is the number located a distance , Start Absolute Value q End Absolute Value, from , p, in the positive direction.
The correct answer is:
The sum p+(−q) is the number located a distance |q| from p in the negative direction.
To understand why, let's break it down:
The expression p + (−q) represents adding the number p with the negative of q. In other words, it's the same as p minus q.
Now, let's think about the distance between p and q. When we say "distance in the negative direction," it means that we are moving in the opposite direction of q starting from p.
When we take the absolute value of q, we ignore its sign and only consider its magnitude. So, the expression |q| represents the magnitude of q.
Therefore, if we subtract q from p (which is the same as p + (−q)), we are moving a distance |q| in the negative direction from p. This is why the correct option is "The sum p+(−q) is the number located a distance |q| from p in the negative direction."