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A cold-storage unit for Nashik grapes reads 4°C, and its compressor lowers the reading by 2°C every hour. After how many hours does it show −10°C?

Class 7Integers (Extended)Integers
  • A5
  • B3
  • C−7
  • D7

Step-by-Step Solution

The reading must change by (−10) − 4 = −14°C in all. At −2°C per hour that takes (−14) ÷ (−2) = 7 hours, and the same signs make the number of hours positive, as it must be. Answering 5 uses only the 10 and forgets the 4 degrees above zero it has to fall through first; 3 comes from 10 − 4 = 6 followed by 6 ÷ 2.
Answer: D) 7

Key idea: Dividing integers

The sign rule for division is **the same as for multiplication**: same signs → positive, different signs → negative.

12 ÷ 4 = 3
(−12) ÷ (−4) = 3
12 ÷ (−4) = −3
(−12) ÷ 4 = −3

Also: integer ÷ 1 = the integer; integer ÷ itself = 1; **never divide by 0** — division by zero is undefined.

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