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On a builder's survey pole, the top of a compound wall is marked +4 m and the bottom of a soak pit is marked −9 m, both measured from ground level (0 m). What is the vertical distance between the two marks?

Class 7Integers (Extended)Integers
  • A5 m
  • B−13 m
  • C−5 m
  • D13 m

Step-by-Step Solution

Distance is the upper reading minus the lower one: 4 − (−9) = 4 + 9 = 13 m. Subtracting a negative adds. Answering 5 m comes from computing 4 − 9 after quietly dropping the minus on −9, and a distance can never be negative, so −13 m and −5 m rule themselves out.
Answer: D) 13 m

Key idea: Multiplying more than two integers

Count the number of negative factors:
- **Even** number of negatives → product is positive.
- **Odd** number of negatives → product is negative.

Examples: has three negatives (odd) → negative. Compute the magnitude: . Result: −24.

has two negatives (even) → positive. Magnitude: . Result: +24.

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