What is the sum of additive inverse of 2/9 and multiplicative inverse of 9/2
Answers
sum of additive inverse is always 0 and of multiplicative inverse is 1.
Given,
The additive inverse of 2/9 and multiplicative inverse of 9/2.
To find,
The sum of the additive inverse of 2/9 and multiplicative inverse of 9/2.
Solution,
The sum of the additive inverse of 2/9 and multiplicative inverse of 9/2 will be 0.
We can easily solve this problem by following the given steps.
We know that 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 2 is -2.
The multiplicative inverse is the numbers obtained after inverting the given rational number. For example, the multiplicative inverse of 2 is 1/2.
So,
The additive inverse of 2/9 is -2/9 and the multiplicative inverse of 9/2 is 2/9.
Adding 2/9 and -2/9,
2/9 + (-2/9)
2/9-2/9
0
Hence, the sum of the additive inverse of 2/9 and multiplicative inverse of 9/2 is 0.