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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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