subtraction-of-integers-by-adding-additive-inverse-of-integer

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In this section, we shall see that subtracting an integer ‘b’ from an integer ‘a’ means adding the additive inverse or negative of 'b' to integer 'a'.

Subtraction is a process inverse to that of addition. For example,subtracting 4 from 6 means finding a number which when added to 4 gives 6.

Subtracting —3 from 5 means finding a number which when added to —3 gives 5. Obviously, such a number is 8.

Thus, we have, 5 — (—3) = 8.

We find that to subtract ‘ —3’ from 5, we add the negatIve (or additive inverse) of ’—3’ to 5.In fact, this is the rule for subtraction of integers as stated below.

a—b=a+(—b)

Here ‘—a’ is called the additive inverse or negative of a.

In this section, we shall see that subtracting an integer ‘b’ from an integer ‘a’ means adding the additive inverse or negative of 'b' to integer 'a'.

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