Question

find the additive inverse and multiplicative inverse of minus 3 by 5 x minus 10​

Answer 1

Answer:

additive inverse of -3/5x-10 = 3/5x-10

multiplicative inverse of -3/5x-10 = 5x-10/-3= -5x+10/3

Answer 2

Additive inverse = 3x/5 + 10

Multiplicative inverse = 5/(3x-50)

Given:

- 3x/5 - 10    

To find:

The additive inverse and multiplicative inverse of given number

Solution:

First of all let us know about The additive inverse and multiplicative inverse of a number

The Additive inverse :

• The additive inverse of a number is a number which gives zero as result  when it is added to the given number

• For example, the additive inverse of 1 is -1 as 1 + (-1) = 0

• In other ways we can say that the additive inverse of a number is the same value but opposite in sign

       ⇒ additive inverse of a is -a  

The Multiplicative inverse :  

• The multiplicative inverse of a number is a number which gives 1 as result when it is multiplied with the given number
• For example, the Multiplicative inverse of 2 is 1/2 as 2 × (1/2) = 1
• It is also know as reciprocal of given number

   ⇒ Multiplicative inverse of a is 1/a  

Here, given number is - 3x/5 - 10    

From above data

Additive inverse = 3x/5 + 10

As - 3x/5 - 10 + 3x/5 + 10 = 0

Here, - 3x/5 - 10 = (-3x-50)/5       [ taking 5 as LCM ]

Multiplicative inverse = 5/(3x-50)

Therefore,

Additive inverse = 3x/5 + 10

Multiplicative inverse = 5/(-3x-50)

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