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Which of the following is a correct interpretation of the expression −2−7-2-7?\newlineChoose 11 answer:\newline(A) Start at −2-2 on the number line and move 77 to the left.\newline(B) Start at −2-2 on the number line and move 77 to the right.\newline(C) Start at 77 on the number line and move 22 to the left.\newline(D) Start at 77 on the number line and move 22 to the right.

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Full solution

Q. Which of the following is a correct interpretation of the expression −2−7-2-7?\newlineChoose 11 answer:\newline(A) Start at −2-2 on the number line and move 77 to the left.\newline(B) Start at −2-2 on the number line and move 77 to the right.\newline(C) Start at 77 on the number line and move 22 to the left.\newline(D) Start at 77 on the number line and move 22 to the right.
  1. Understand Subtraction: To interpret the expression −2−7-2-7, we need to understand that subtraction can be seen as moving to the left on the number line. The expression indicates starting at −2-2 and then moving 77 units more in the negative direction.
  2. Move Left on Number Line: Since we are moving in the negative direction (to the left on the number line), we are adding more negative value to our starting point of −2-2. This means we are going further left from −2-2 by 77 units.
  3. Perform Calculation: Performing the calculation, −2−7-2-7 equals −9-9. This confirms that we have moved 77 units to the left from −2-2, ending up at −9-9 on the number line.
  4. Correct Interpretation: The correct interpretation of the expression −2−7-2-7 is therefore: Start at −2-2 on the number line and move 77 to the left, which corresponds to choice (A).

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