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At 6 pm the temperature at a Manali weather post was °C, and by midnight it had dropped to °C. By how many degrees did the temperature fall?

Class 7Rational NumbersRational Numbers
  • A
  • B
  • C3
  • D

Step-by-Step Solution

Fall = first reading − last reading = °C. A fall is a size, so the answer is positive — confuses the drop with the new reading. Adding the two temperatures instead gives , the "3" option.
Answer: A)

Key idea: Operations on rationals

**Addition / subtraction**: same denominator → add/subtract numerators. Different denominator → bring to common denominator first.

**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).

**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.

Nothing new compared to fractions — just keep track of signs.

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