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Find the missing integer: (−9) × ___ = 72.

Class 7Integers (Extended)Integers
  • A-8
  • B-9
  • C-7
  • D-16

Step-by-Step Solution

The product 72 is positive, so the missing factor must be negative (same signs). 72 ÷ 9 = 8, so the missing integer is −8. Check: (−9) × (−8) = 72.
Answer: A) -8

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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