Which of the following describes the sum p + (−q) where p
and q
are positive numbers??(1 point)
Responses
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 sum p+(−q) is the number located a distance |p| from q in the positive direction.
The sum negative p plus left parenthesis negative q right parenthesis is the number located a distance absolute value of p from q in the positive direction.
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 |p| from q in the negative direction.
The sum p + (-q) is the number located a distance |q| from p in the negative direction.
The correct response is: The sum p+(−q) is the number located a distance |q| 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 positive direction.
To understand why, let's break it down step by step:
1. The sum p+(−q) means you are adding p and the opposite of q, which is −q.
2. The opposite of q, denoted as −q, is the negative of q. So if q is a positive number, then −q is its negative counterpart, which is also a negative number.
3. When you add a positive number and a negative number, you can think of it as moving in opposite directions on a number line.
4. Now, the distance from p to q is |q| (the absolute value of q) in the positive direction. The absolute value of a number gives you the distance of that number from zero on a number line, regardless of its sign.
5. So, when you add p and −q, it means you start at p and move a distance |q| in the positive direction.
Thus, the sum p+(−q) is the number located a distance |q| from p in the positive direction.