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On a number line, you start at 0 and move 5 units left, three times in a row. Which integer represents your final position?

Class 7Integers (Extended)Integers
  • A-16
  • B-30
  • C-14
  • D-15

Step-by-Step Solution

Each move left of 5 units is −5. Three times: 3 × (−5) = −15. Final position is −15.
Answer: D) -15

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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