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The product of a positive integer and a negative integer is always negative.

Question

The product of a positive integer and a negative integer is always negative.

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Solution

Yes, that's correct. The product of a positive integer and a negative integer is always negative. Here's why:

Step 1: Understand the concept of multiplication. Multiplication is a mathematical operation that is essentially repeated addition. For example, 3 multiplied by 2 (3*2) means you are adding 3 two times (3+3).

Step 2: Understand the concept of positive and negative numbers. In mathematics, positive numbers are numbers that are greater than zero, while negative numbers are less than zero.

Step 3: When you multiply a positive number by a negative number, you are essentially adding the negative number, the positive number of times. For example, if you multiply 3 (a positive number) by -2 (a negative number), you are adding -2 three times (-2 + -2 + -2), which equals -6.

So, the product of a positive integer and a negative integer is always negative.

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