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Home >> Integers >> Subtraction of Integers >> Subtraction 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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