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Which integer lies exactly midway between −8 and 2 on the number line?

Class 7Integers (Extended)Integers
  • A−5
  • B−6
  • C−3
  • D3

Step-by-Step Solution

The midpoint is the average of the two ends: (−8 + 2) ÷ 2 = (−6) ÷ 2 = −3. Check the distances — from −3 to −8 is 5 units, and from −3 to 2 is also 5 units. Answering −5 or −6 comes from halving only the 8 and forgetting that the stretch continues past 0 into the positives.
Answer: C) −3

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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