Question

Find the difference of additive inverse and multiplicative inverse of 5/9​

Answer 1

Step-by-step explanation:

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

.