find the sum of additive inverse and multiplicative inverse of 9find the sum of additive inverse and multiplicative inverse of 9
Answers
Given,
The additive inverse and multiplicative inverse of 9.
To find,
The sum of additive inverse and multiplicative inverse of 9.
Solution,
The sum of additive inverse and multiplicative inverse of 9 will be -80/9.
We can easily solve this problem by following the given steps.
The additive inverse of a number is the same given number but with a negative sign so that their sum is zero. For example, the additive inverse of 3 is -3.
The multiplicative inverse is the number obtained by inverting the given rational number. For example, the multiplicative inverse of 3 is 1/3.
So,
The additive inverse of 9 is -9 and its multiplicative inverse is 1/9.
Adding 1/9 and -9,
1/9 + (-9)
1/9 - 9
Taking the LCM of 9 and 1 and subtracting the fractions,
1-9×9/9
(1-81)/9
-80/9
Hence, the sum of additive inverse and multiplicative inverse of 9 is -80/9.