Math, asked by 2Bhupendra, 1 year ago

find the sum of additive inverse and multiplicative inverse of 9find the sum of additive inverse and multiplicative inverse of 9

Answers

Answered by kiki9876
176
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Answered by HanitaHImesh
4

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.

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