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Answer:
1.) The product of a negative integer and a positive integer is not positive
Here Is The Explanation Step By Step:
1. You need to understand the Types of Numbers Involved:
- A *negative integer* is any whole number less than zero, denoted by "-".
- A *positive integer* is any whole number greater than zero, denoted by "+".
2. *Multiplication of a Negative and a Positive Integer:*
- When you multiply a negative integer by a positive integer, such as (-3) × 2:
- (-3) is the negative integer.
- 2 is the positive integer.
- The multiplication of a negative and a positive integer follows the rule: (-) × (+) = (-).
- Therefore, (-3) × 2 = -6.
- Here, -6 is a negative number because the product of a negative and a positive integer is always negative.
3. *Conclusion:*
- The product of a negative integer and a positive integer is not *positive*. It is "negative".
In summary, when you multiply a negative integer by a positive integer, the result is always a negative integer. This is a fundamental rule of arithmetic that solidly establishes the relationship between negative and positive numbers in multiplication.
I hope this answer helps, and I hope you study hard!