To find the sum \( p + q \) where \( p \) is positive and \( q \) is negative, you first identify \( p \) on the number line and then move to the left by the absolute value of \( q \) (since \( q \) is negative).
Given this, let's analyze your options:
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Option a: This option shows \( p \) 5 units right of 0 and moves left by 4 units, which is correctly showing the sum \( p + q \).
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Option b: This option incorrectly shows \( q \) moving to the right from \( p \), which would imply \( q \) is positive.
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Option c: This option places \( p \) at the seventh interval from the left and shows a leftward movement to the second interval from the left (which indicates moving 5 units left), but zero is incorrect as it is at an incorrect location (2 units to the right would mean 5 units left is inaccurate).
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Option d: This option also incorrectly makes a rightward movement from \( p \), which is not how you would add a negative number.
Conclusion: The correct option is a. It accurately represents finding the sum \( p + q \) by moving left from \( p \) the amount specified by the absolute value of the negative number \( q \).