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Which statement about the integer 0 is FALSE?

Class 7Integers (Extended)Integers
  • A0 is neither positive nor negative.
  • B0 divided by any non-zero integer gives 0.
  • CAny integer divided by 0 gives 0.
  • D0 is its own additive inverse.

Step-by-Step Solution

Dividing BY zero is undefined — it has no value, and 0 is not a stand-in for 'no value'. The other three are true: 0 sits between the positives and negatives without joining either group, 0 ÷ n = 0 for every non-zero n, and 0 + 0 = 0 makes 0 its own additive inverse. Watch the direction of the slash: 0 ÷ 5 = 0 is fine, but 5 ÷ 0 is not.
Answer: C) Any integer divided by 0 gives 0.

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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