To find the sum
Let's analyze the descriptions of the number lines you provided:
-
First image: Shows
at 5 intervals to the right of 0. A leftward arrow labeled (the absolute value of ) starts at and ends 4 intervals to the left of . This is correct because it indicates moving left from by the positive distance , representing the addition of a negative number to a positive one. -
Second image: Begins at
and incorrectly moves right by (which would imply adding a positive number instead of subtracting). This does not reflect the operation of adding a negative. -
Third image: Shows
at the seventh interval from the left, with zero marked at 2 intervals to the right of . An arrow moves left to the second interval from the left, indicating that has a value that brings us back by the absolute value of . This method reflects the correct representation of adding a negative number.
Based on these descriptions, the correct number line for the operation