Question

The sum of the additive inverse and multiplicative inverse of 4 is :
(a) 15/4
(b) -15/17
(c) 1/4
(d) None of these​

Answer 1

Answer:

-15/4

Step-by-step explanation:

please understand

Answer 2

$\sf{Answer}$

Step-by-step-explanation:-

Solution :-

As they given

The sum of the additive inverse and multiplicative inverse of 4 is

Explanation:-

First of all what is additive inverse, multiplicative inverse?

Additive inverse :-

When we add a number It should be equal to 0 Since It is called additive inverse

Ex :- Additive inverse of 3 is -3

Sum of 3 & -3 is 0

Since -3 is called additive inverse of 3

*/ Just change the sign of number

Multiplicative inverse :-

When we multiply a number it should be equal to 1

Since it is called multiplicative inverse

Ex :- Multiplicative inverse of 3 is 1/3

3 × 1/3 = 1

*/Since , For finding multiplicative inverse Just multiply with reciprocal

______________________________________________

• Additive inverse of 4 is -4 (Change sign)
• Multiplicative inverse of 4 is 1/4

So,

Sum of additive inverse & multiplicative inverse of 4

-4 + $\sf\dfrac{1}{4}$

Take LCM

$\sf\dfrac{4×-4 +1}{4}$

$\sf\dfrac{-16+1}{4}$

$\sf\dfrac{-15}{4}$

So,

Sum of additive inverse & multiplicative inverse of 4 is

$\sf\dfrac{-15}{4}$