Question

Find the sum of additive inverse and multiplicative inverse of 5

Answer 1

hi friend,


additive inverse of 5 is -5


multiplicative inverse of 5 is 1/5


sum of additive inverse and multiplicative inverse of 5 is

=-5+1/5

=-24/5



I hope this will help u ;)

Answer 2

The sum of additive inverse and multiplicative inverse of 5 is - 24/5

Given :

The number 5

To find :

The sum of additive inverse and multiplicative inverse of 5

Solution :

Step 1 of 3 :

Find additive inverse of 5

Let m is the additive inverse of 5

Then we have ,

$\displaystyle \sf{ m + 5 = 0}$

$\displaystyle \sf{ \implies m = - 5}$

So additive inverse of 5 is - 5

Step 2 of 3 :

Find multiplicative inverse of 5

Let n is the multiplicative inverse of 5

Then we have ,

$\displaystyle \sf{n \times 5 = 1 }$

$\displaystyle \sf{ \implies n = \frac{1}{5} }$

So multiplicative inverse of 5 is 1/5

Step 3 of 3 :

Find sum of additive inverse and multiplicative inverse of 5

Hence the required sum of additive inverse and multiplicative inverse of 5

$\displaystyle \sf{ = - 5 + \frac{1}{5} }$

$\displaystyle \sf{ = \frac{ - 25 + 1}{5} }$

$\displaystyle \sf{ = \frac{ - 24}{5} }$

$\displaystyle \sf{ = - \frac{24}{5} }$

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