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Each floor of this building is 4 m high. The lift goes from where it is now to the floor with the star. Taking up as positive, what is the change in its height?

Class 7Integers (Extended)Integers
  • A−32 m
  • B32 m
  • C−16 m
  • D−28 m

Step-by-Step Solution

The lift is at floor 6 and the star is at B2, i.e. floor . Change in floors ; change in height m.
Answer: A) −32 m

Key idea: Multiplying integers — same sign vs different sign

**Same sign → positive.**
(both positive)
(both negative — still positive)

**Different signs → negative.**
3 × (−4) = −12
(−3) × 4 = −12

**Why two negatives become positive:** think of −3 as 'the opposite of 3'. So = 'the opposite of ' = the opposite of −12 = +12. The double-negative cancels.

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