- Apositive
- Bnegative
- Czero
- Dcould be either
Step-by-Step Solution
By the sign rule, (+)(+) = (+) and (−)(−) = (+). Same signs always give a positive product.
Answer: A) positive
Fill in the blank: When two integers with the SAME sign are multiplied, the product is always ______.
Class 7Integers (Extended)Integers
Key idea: Multiplying integers — same sign vs different sign
**Same sign → positive.**
(both positive)
(both negative — still positive)
**Different signs → negative.**
3 × (−4) = −12
(−3) × 4 = −12
**Why two negatives become positive:** think of −3 as 'the opposite of 3'. So = 'the opposite of ' = the opposite of −12 = +12. The double-negative cancels.
(both positive)
(both negative — still positive)
**Different signs → negative.**
3 × (−4) = −12
(−3) × 4 = −12
**Why two negatives become positive:** think of −3 as 'the opposite of 3'. So = 'the opposite of ' = the opposite of −12 = +12. The double-negative cancels.
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