Question

the sum of additive inverse and multiplicative inverse of 3

Answer 1

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Answer 2

The sum of additive inverse and multiplicative inverse of 3 is - 8/3

Given :

The number 3

To find :

The sum of additive inverse and multiplicative inverse of 3

Solution :

Step 1 of 3 :

Find additive inverse of 3

Let m is the additive inverse of 3

Then we have ,

$\displaystyle \sf{ m + 3 = 0}$

$\displaystyle \sf{ \implies m = - 3}$

So additive inverse of 3 is - 3

Step 2 of 3 :

Find multiplicative inverse of 3

Let n is the multiplicative inverse of 3

Then we have ,

$\displaystyle \sf{n \times 3 = 1 }$

$\displaystyle \sf{ \implies n = \frac{1}{3} }$

So multiplicative inverse of 3 is 1/3

Step 3 of 3 :

Find sum of additive inverse and multiplicative inverse of 2

Hence the required sum of additive inverse and multiplicative inverse of 3

$\displaystyle \sf{ = - 3 + \frac{1}{3} }$

$\displaystyle \sf{ = \frac{ - 9 + 1}{3} }$

$\displaystyle \sf{ = \frac{ - 8}{3} }$

$\displaystyle \sf{ = - \frac{8}{3} }$

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