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| Subtraction of Integers Addition of Integers
| Additive Inverse | Multipication of a Negative and a Positive Integer | Multiplication of Two Negative Integers | Multiplication of Two Positive Integers | Negative Integers | Positive Integers | Subtraction of Integers |
DEFINITION ----- SUBTRACTION OF INTEGERS :-
In the process of subtraction of integers, simply add the additive inverse of the integer that is to be subtracted, from the other integer.
Now, we will study the subtraction of integers with the help of following examples :-
EXAMPLE 1 = (+4) - (+7)
ANSWER =(+4) - (+7)
Here, the additive inverse of (+7) is (-7),on addition of the additive inverse we will get,
= (+4) + (-7)
Here we will apply CONDITION 3 of Addtition of Integer. So, subtract the integers and answer will contain (-)sign because in the above example the bigger digit is 7 and it contain (-) sign,
= -3
EXAMPLE 2 = (+20) - (-8)
ANSWER =(+20) - (-8)
Here, the additive inverse of (-8) is (+8), On addition of the additive inverse we will get,
= (+20) + (+8)
Here we will apply CONDITION 1 of Addtition of Integer. So, add the integers and put (+)sign because both integers
are positive integers.
= +28
or = 28
EXAMPLE 3 = (+42) - (+27)
ANSWER =(+42) - (+27)
Here, the additive inverse of (+27) is (-27),On addition of the additive inverse we will get,
= (+42) + (-27)
Here we will apply CONDITION 3 of Addtition of Integer. So, subtract the integers and answer will contain (+)sign because in the above example the bigger digit is 42 and it contain (+) sign,
= +15
or = 15
EXAMPLE 4 = (-25) - (-35)
ANSWER =(-25) - (-35)
Here, the additive inverse of (-35) is (+35), On addition of the additive inverse we will get,
= (-25) + (+35)
Here we will apply CONDITION 3 of Addtition of Integer. So, subtract the digits and answer will contain (+)sign because in the above example the bigger digit is 35 and it contain (+) sign,
= +10
or = 10
EXAMPLE 5 = (-49) - (-35)
ANSWER =(-25) - (-35)
Here, the additive inverse of (-35) is (+35), On addition of the additive inverse we will get,
= (-49) + (+35)
Here we will apply CONDITION 3 of Addtition of Integer. So, subtract the digits and answer will contain (-)sign because in the above example the bigger digit is 49 and it contain (-) sign,
= -14
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