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In a Bengaluru mall the basement levels are numbered −1, −2 and −3, the ground floor is 0, and the shopping floors are 1, 2, 3 and 4. A shopper parks on level −3 and takes the lift up to floor 4. Through how many levels does the lift rise?

Class 7Integers (Extended)Integers
  • A1
  • B7
  • C12
  • D−7

Step-by-Step Solution

The rise is 4 − (−3) = 4 + 3 = 7 levels, because subtracting a negative adds. You can also count up: −3 to 0 is 3 levels and 0 to 4 is another 4, giving 7. Answering 1 computes 4 − 3 by ignoring the minus on −3, and a number of levels travelled is a count, so it cannot be −7.
Answer: B) 7

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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