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1 year, 6 months ago via algebra-questions.com

What is a negative integer?

I am having a hard time in my algebra class. What exactly is a negative integer?
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kerryk | 1 year, 6 months ago
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An integer is basically a whole number. A negative integer is a negative whole number. For example, -3, -4, -5, -6, and so on are all negative integers. A few rules when using negative integers are as follows:

1. When you multiply a negative integer with another negative integer you get a positive integer. For example, -3 times -4 equals 12.

2. When you multiply a negative integer with a positive interger you get a negative integer. For example, -3 times 4 equals -12.

3. The absolute value of a negative integer is a positive integer. For example, |-4| = 4.

4. When adding a negative integer to a positive integer, you will get a negative integer if the negative integer has an absolute value greater than the positive integer. For example -4 + 3 = -1, (absolute value of -4 is 4, which is greater than 3)

5. When subtracting a negative integer from another integer it turns into an addition problem. For example -6- (-3) = -6 +3, which is -3. (The double negative turns into a positive, which means addition)

6. When dividing two negative integers, you get a positive integer and when you divide a negative and a positive interger you get a negative integer. For example -6/3 = -2 and -6/-3 = 2.

7. When solving an inequality and you have to divide by a negative integer, the inequality sign flips. For example -3x< 6. To solve you divide by -3, so the answer is x> -2.

Hope this helps!
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