How do you find the additive and multiplicative inverse of 5/9?

1 Answer
Feb 10, 2017

Answer:

Additive inverse of #5/9# is #-5/9# and multiplicative inverse of #5/9# is #9/5#

Explanation:

Additive inverse of a number is the number which when added to it makes the sum zero #0# - the additive identity element . Observe that #0# is known as additive identity element as when this is added to any number, it results in the same number.

Obviously additive inverse of #x# is #-x# and hence additive inverse of #5/9# is #-5/9#.

Multiplicative inverse of a number is the number which when multiplied to it makes the product one #1# - the multiplicative identity element . Observe that #1# is known as multiplicative identity element as when this when multiplied to any number, results in the same number.

Obviously multiplicative inverse of #x# is #1/x# and hence additive inverse of #5/9# is #1/(5/9)=9/5#.