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Look at the pattern: 3 × (−4) = −12, 2 × (−4) = −8, 1 × (−4) = −4, 0 × (−4) = 0. Continuing the same pattern, what is (−1) × (−4)?

Class 7Integers (Extended)Integers
  • A4
  • B−4
  • C0
  • D−8

Step-by-Step Solution

Each time the first factor drops by 1, the product climbs by 4: −12 → −8 → −4 → 0. The next step gives 0 + 4 = 4, so (−1) × (−4) = 4. This is how the 'two negatives make a positive' rule is discovered — it keeps the pattern unbroken. Choosing −4 keeps subtracting instead of noticing the products are rising.
Answer: A) 4

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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