Best Answer

It won't always result in a negative integer. Multiplyinga positive number and a negative number always results in a negative number. For example 3 x -2 = -6. Adding a positive number and a negative number can result in a negative number but it does not have to.

When adding a positive number with a negative number, we really subtract from the largest number in the absolute value the smallest number in the absolute value, and we keep the sign of the number with the larger absolute value. So the sign of the number with the larger absolute value will determine the sign of the answer.

Some examples:

10 + (-7) = 3

Here, 10 is the largest number in the absolute value, because |10| = 10, and |-7| = 7. So, 10-7=3. 3 will be positive since 10 was positive

7 + (-10) = -3

Here, -10 is the largest number in absolute value, because |-10| = 10, and |7| = 7. So, 10 - 7 = 3. 3 will be a negative number since -10 was negative number. Thus, the answer will be -3.

-10 + 7 = -3

-7 + 10 = 3

It all depends on whether the number with the larger absolute value is negative or positive. If it is positive then the answer will be positive. If it is negative then the answer will be negative. If the two numbers have an equal absolute value, then the result is zero, which is neither positive nor negative.

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Q: Why does adding a positive and negative integer always result in a negative integer?

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The difference between any numbers is always positive.

False.

Always.

Only when the integers are the same but otherwise no.

The quotient of a positive integer by a negative is always negative. Say this to yourself a couple times: "MULTIPLICATION: minus times minus is plus (negative x negative = positive).....minus times plus is minus (negative x positive = negative).....plus times plus is plus (positive x positive = positive) DIVISION: minus divi minus is plus (negative ÷ negative = positive)......minus divi plus is minus (negative ÷ positive = negative).....plus divi plus is plus (positive ÷ positive = positive)"

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Yes because you are always adding.

Yes, because subtrating a negative number is the same thing as adding a positive number.

No, a positive minus a negative can be either or positive or a negative.

always a negative

always a negative

Negative

No

No. The sum of a positive integer and a negative integer has the same sign as the larger integer.

no sometimes there positive i

Any positive integer plus any negative integer will always equal an integer. The results will be either a positive integer, a negative integer or zero.it depends which is bigger. if the positive integer is bigger the answer will be positive. and if the negative integer is bigger the answer will be negative.

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sometimes

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