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Locating Opposite Numbers on a Number Line (P=-10, Q=10)
Published on March 26, 2026
Pre-Algebra
This problem requires identifying the correct number line representation for two points, P at -10 and Q at the opposite of -10 (which is 10), demonstrating understanding of negative and opposite numbers.
Question
Answer
Here is the step-by-step solution to the problem:
1. Determine the location of Point P:
The problem states that point
The problem states that point
2. Determine the location of Point Q:
The problem states that point
The opposite of a number
Therefore, the opposite of
The problem states that point
The opposite of a number
Therefore, the opposite of
3. Summarize the locations:
- Point
is at . - Point
is at .
4. Analyze the number line options:
A standard number line shows numbers increasing to the right and decreasing to the left, with
A standard number line shows numbers increasing to the right and decreasing to the left, with
We need a number line where
- Option A: Shows
to the left of and to the right of . This would mean is negative and is positive. This contradicts our findings ( , ). - Option B: Shows
to the left of and to the right of . This matches our findings: should be at a negative value ( ) and should be at a positive value ( ). Both points appear to be the same distance from . - Option C: Shows
to the left of and to the left of . This would mean both points are negative, which contradicts .
5. Conclusion:
Option B correctly shows point
Option B correctly shows point
The correct number line is B.