- A120
- B72
- C90
- D60
Step-by-Step Solution
A positive product needs 0 or 2 negative cards. Three positives are not available, so use the two largest negatives and the largest positive: .
Answer: C) 90
Pick any three of these cards and multiply the numbers on them. What is the greatest product you can make?
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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