Which of the following describes the sum in terms of p and q? (1 Point)
1.The sum p + (−q ) is the number located a distance |q| from p in the positive direction.
2.The sum −p + (−q ) is the number located a distance p from q in the positive direction.
3.The sum p +(−q ) is the number located a distance |q|
from p in the negative direction.
4.The sum p + (−q ) is the number located a distance |p| from q in the negative direction.
The correct answer is: (-3) + (-17) = -20
Which of the following describes the sum in terms of p and q?(1 point)
Responses
The sum p+(−q) is the number located a distance |q| 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 p+(−q) is the number located a distance |q| from p in the negative direction.
The sum p+(−q) is the number located a distance |p| from q in the negative direction.
Use properties of operations to add (−3) and (−17).(1 point)
Responses
−14
negative 14
−20
negative 20
20
20
14
The correct answer is:
3. The sum p + (−q) is the number located a distance |q| from p in the negative direction.
To determine which option describes the sum in terms of p and q, let's break down each option:
1. The sum p + (-q) is the number located a distance |q| from p in the positive direction.
In this option, the sum is given by adding p and the negative value of q. So, we add p and -q. The result will be a number that is located a distance |q| from p in the positive direction.
2. The sum -p + (-q) is the number located a distance p from q in the positive direction.
In this option, the sum is given by adding the negative value of p and the negative value of q. So, we add -p and -q. The result will be a number that is located a distance p from q in the positive direction.
3. The sum p + (-q) is the number located a distance |q| from p in the negative direction.
This option is the same as option 1. The sum is given by adding p and the negative value of q. So, we add p and -q. The result will be a number that is located a distance |q| from p in the negative direction.
4. The sum p + (-q) is the number located a distance |p| from q in the negative direction.
In this option, the sum is given by adding p and the negative value of q. So, we add p and -q. The result will be a number that is located a distance |p| from q in the negative direction.
Based on these explanations, option 1 describes the sum in terms of p and q, stating that it is the number located a distance |q| from p in the positive direction.