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Home >> Integers >> Subtraction of Integers >>

Subtraction of Integers

Positive Integers Negative Integers Difference Positive & Negative Integers Addition of Integers Multiplication of Integers
Additive Inverse Subtraction of Integers Division of integers

Before you understand How to subtract integers, you are adviced to read:

What is Additive Inverse ?
What are Positive Integers ?
What are Negative Integers ?
What is Minuend & Subtrahend ?

Integers are of two types:
  • Positive Integers
  • Negative Integers

    On the basis of above classification of integers; you will found following situations:

  • Subtraction of Positive Integer from Positive Integer
    Example: Subtract 4 from 7

  • Subtraction of Negative Integer from Negative Integer
    Example: Subtract (-25) from (-35)

  • Subtraction of Positive Integer from Negative Integers
    Example: Subtract 20 from (-8)

  • Subtraction of Negative Integer from Positive Integers
    Example: Subtract (-15) from 27


    Situation 1: Subtraction of Positive Integer from Positive Integer

    Example: Subtract 4 from 7
    In this situation, you can observe that both the given integers i.e. 4 and 7 are positive integer.
    So we will do the subtraction of these positive integers, as we do subtraction of whole number and we get:
    7 4
    = 3


    Situation 2: Subtraction of Negative Integer from Negative Integer

    Steps of subtraction under this situation:
  • Find the additive inverse of given subtrahend and add it to minuend
  • Follow the process of addition of positive and negative integers

    Example 2: Subtract (-25) from (-35)
    Solution: Subtraction operation as per the given question:
    (-35) - (-25)

    Find the additive inverse of given subtrahend i.e. (-25) and add it to minuend i.e.(-35) & we get:
    = (-35) + (25) [Because Additive inverse of (-25) is 25]

    Add the above integers, as we do addition of positive and negative integers & we get:
    = (-10)

    Hence, (-35) - (-25) = (-10)


    Situation 3: Subtraction of Positive Integer from Negative Integer

    Steps of subtraction under this situation:
  • Find the additive inverse of given subtrahend and add it to minuend
  • Follow the process of addition of negative integers

    Example 3: Subtract 20 from (-8)
    Solution: Subtraction operation as per the given question:
    (-8) (20)

    Find the additive inverse of given subtrahend i.e. (20) and add it to minuend i.e. (-8) & we get:
    = (-8) + (-20) [Because Additive inverse of 20 is (-20)]

    Add the above integers, as we do addition of negative integers & we get:
    = (-28)

    Hence, (-8) (20) = (-28)


    Situation 4: Subtraction of Negative Integer from Positive Integers

    Steps of subtraction under this situation:
  • Find the additive inverse of given subtrahend and add it to minuend
  • Follow the process of addition of negative integers

    Example: Subtract (-15) from 27
    Solution: Subtraction operation as per the given question:
    (27) (-15)

    Find the additive inverse of given subtrahend i.e. (-15) and add it to minuend i.e. (27) & we get:
    = (27) + (15) [Because Additive inverse of (-15) is 15]

    Add the above integers, as we do addition of positive integers & we get:
    = 42

    Hence, (27) (-15) = 42


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