Fill in the equation to match the description. (1 point)
The sum p(_) (_q) is the number located a distance |q| from p in the negative direction.
The equation that matches the description is:
p - |q|
The correct response is:
The sum p+(−q) is the number located a distance |q| from p in the negative direction.
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 p from q in the positive direction.
The sum negative p plus left parenthesis negative q right parenthesis 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 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 |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.
Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)
To find the sum p+q when p is positive and q is negative, we start at the point p on the number line and then move |q| units to the left (negative direction) since q is negative. Therefore, the correct way to find the sum p+q is shown on a number line where the point p is to the right of the point q.
Unfortunately, as a text-based AI, I am unable to directly show or provide visual representations. Therefore, I recommend using a number line tool or drawing a number line yourself to illustrate the correct way to find the sum p+q.
The sum p + (-q) is the number located a distance |q| from p in the negative direction.
To fill in the equation to match the description, we need to represent the number located a distance |q| from p in the negative direction.
Let's break down the information given:
- The sum p(_) (_q) represents the sum of two terms.
- The number located a distance |q| from p refers to a number that is q units away from p in the negative direction.
To represent this in the equation, we'll use the concept of negative numbers. Let's use the variable x to represent the number we are looking for.
The sum p and (_) represents p + x, which is the first term.
The (_) and (_q) represents x - q, which is the second term.
So, the equation that matches the description is:
p + x = x - q