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How Do I Simplify Negative Integers?

Integers are whole numbers that can be positive or negative. For example, the numbers 1, 2, 3 and 4 are positive integers, and the numbers -1, -2, -3 and -4 are negative integers. If you take a high school or college algebra or calculus class, you may have situations in which you must simplify expressions that contain negative integers. In these situations, you can simplify a negative integer easily by following basic mathematical formulas and procedures.

Instructions

    • 1

      Simplify negative integers to indicate absolute value if asked to do so. To find the absolute value of a negative integer, simply take away the minus sign. The absolute value of any integer is its distance from zero. Therefore, for example, the absolute value of -3 is 3. This is written as I -3 I = 3.

    • 2

      Add two negative integers by adding the numbers and keeping the negative sign. For example, -2 + -5 = -7.

    • 3

      Add a negative to a positive integer by subtracting the smaller number from the larger one and taking the sign of the larger number. For example, -10 + 7 = -3 and 10 + -7 = 3.

    • 4

      Subtract a negative integer by changing its sign and adding it to the first integer in the subtraction sentence. For example, -6 - -3 would become -6 + 3, which equals -3.

    • 5

      Multiply two negative integers by multiplying the numbers and taking away the negative sign. Multiply a negative times a positive integer by multiplying the numbers and keeping the negative sign. The same is true for division: two negatives make a positive, and one negative and one positive make a negative answer.

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