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The two thermometers show the temperature in Gulmarg at 8 p.m. and at 10 p.m. It keeps falling by the same amount every hour. What will the temperature be at 2 a.m.?

Class 7Integers (Extended)Integers
  • A−12 °C
  • B−18 °C
  • C−6 °C
  • D−24 °C

Step-by-Step Solution

From 6 °C to 0 °C in 2 hours: a fall of 3 °C per hour. From 8 p.m. to 2 a.m. is 6 hours, so °C.
Answer: A) −12 °C

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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