- A
- B
- Ca ÷ a
- Da − 0
Step-by-Step Solution
An integer plus its opposite equals 0: a + (−a) = 0. The other options give −a, 1, and a respectively.
Answer: A)
Which expression equals 0 for any integer a (where a ≠ 0)?
Class 7Integers (Extended)Integers
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.
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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