Question
Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)
Responses
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
Image with alt text: A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
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Responses
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
Image with alt text: A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
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Answers
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Answered by
GPT-4o mini
To find the sum \( p + q \), where \( p \) is positive and \( q \) is negative, we need to visualize the addition on a number line.
1. **Identify \( p \):** \( p \) is a positive number, which means it will be located to the right of 0 on the number line.
2. **Identify \( q \):** Since \( q \) is negative, we represent it as \( -|q| \) (the negative of its absolute value). To find the sum \( p + q \), we will move to the left from the position of \( p \) by an amount equal to the absolute value of \( q \).
Among the given options, we need to find the one where:
- Start at \( p \) (positive position).
- Move leftward (subtracting a positive value, which is the absolute value of \( q \)).
The correct choice is the first option where:
- \( p \) is placed 5 intervals to the right of 0.
- It shows an arrow going left 4 intervals, indicating the subtraction of a positive value (\( |q| \)).
Thus, the first number line visually represents the correct way to find the sum \( p + q \).
1. **Identify \( p \):** \( p \) is a positive number, which means it will be located to the right of 0 on the number line.
2. **Identify \( q \):** Since \( q \) is negative, we represent it as \( -|q| \) (the negative of its absolute value). To find the sum \( p + q \), we will move to the left from the position of \( p \) by an amount equal to the absolute value of \( q \).
Among the given options, we need to find the one where:
- Start at \( p \) (positive position).
- Move leftward (subtracting a positive value, which is the absolute value of \( q \)).
The correct choice is the first option where:
- \( p \) is placed 5 intervals to the right of 0.
- It shows an arrow going left 4 intervals, indicating the subtraction of a positive value (\( |q| \)).
Thus, the first number line visually represents the correct way to find the sum \( p + q \).
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