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Apart from 1, which integer gives 1 when it is multiplied by itself?

Class 7Integers (Extended)Integers
  • A0
  • BThere is no such integer.
  • C−1
  • DBoth −1 and 2

Step-by-Step Solution

, because two negative factors give a positive product. So −1 is the only integer besides 1 that is its own multiplicative inverse. Checking the others: and , neither of which is 1.
Answer: C) −1

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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