Question

Write the additive and the multiplicative Invers of -3/5

Answer 1

Additive inverse is 3/5
Multiplicative inverse is -5/3

Answer 2

Answer:

additive inverse= 3/5

multiplicative inverse= -5/3

Step-by-step explanation:

ADDITIVE INVERSE

additive inverse of a number is when the sum of the number and its additive inverse is 0 that is the additive identity

therefore, x+(-3/5)=0

x-3/5=0

x=0+3/5

hence x=3/5

conclusion= 3/5 is the additive inverse of -3/5

easier way to do= just change the sign that is when the number is in negative (-) then change it into positive (+) and when the number is in positive(+) change it into negative(-)

eg. -1

change the sign then -1 will be 1

and there you go with the additive inverse of -1 that is 1

eg2. 3

change the sign then 3 will be -3

and there you go with the additive inverse of 3 that is -3

MULTIPLICATIVE INVERSE

multiplicative inverse of a number is when the product of the number and its multiplicative inverse is 1 that is the multiplicative identity .

According to the question

x*(-3/5) =1

x=1*(-5/3)

hence, x= -5/3

easier way to do= just reciprocal it ( reciprocal of 'a' is a= 1/a)

eg. 5

reciprocal of 5= 1/5( also the multiplicative inverse of 5)

eg2. 3/8

reciprocal of 3/8= 8/3( also the multiplicative inverse of 3/8)

so basically multiplicative inverse of a number= the reciprocal of the number