Math, asked by sharmagirish164, 9 months ago

is the additive inverse of - 4/3 is 1 is to 1/3 prove it​

Answers

Answered by pulakmath007
13

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ADDITIVE IDENTITY

An element e is said to be Additive Identity if

a + e = e + a = a

So clearly 0 is the Additive Identity

ADDITIVE INVERSE

0 is the Additive Identity

Now A number b is said to be the Additive Inverse of a if

a + b = b + a = 0

From the above it is clear that

- a is the Additive Inverse of a

 \longmapsto \: CALCULATION

So from above we can say that

 \displaystyle \:    \frac{4}{3}  \:  \: is \:  \: the \: additive \: inverse \: of \:   - \frac{4}{3}

Hence

 \displaystyle \:    1\frac{1}{3}  \:  \: is \:  \: the \: additive \: inverse \: of \:   - \frac{4}{3}

ADDITIONAL INFORMATION

Additive Inverse of a element is Unique if exists

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