Q: What is the sum of a rational number and its additive inverse?

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0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.

The additive inverse of 41 is -41. An additive inverse is the number that will make the sum equal zero.

It is zero, by definition of additive inverse!

Yes. For example: * 0 + 0 = 0 * 1/1 + (-1/1) = 0 * 1/2 + 1/3 is not equal to zero. If the second rational number is the additive inverse of the first, then yes the sum of two rational numbers can be zero. The additive inverse is that number when added to another number gives the result 0, and is denoted as the negative of the first number; the additive inverse of the number a is denoted by -(a) and is such that a + -(a) = 0. eg the additive inverse of 1/2 is -(1/2) giving 1/2 + -(1/2) = 0.

I can give you an example and prove it: eg. take the rational no. 2......hence its additive inverse ie. its opposite no. will be -2 now lets add: =(2)+(-2) =2-2 =0 it means that the opposite no.s. get cancelled and give the answer 0 this is the same case for sum of a rational no. and its opposite no. to be ZERO

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0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.

Because that is how its additive inverse is defined!

Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)

The additive inverse of 18 is -18. The additive inverse of any number is the opposite of that number, such that the sum of the original number and the additive inverse is zero.

The additive inverse for a number is its negative value. The sum of an integer and its additive inverse is zero. For the example (5), the additive inverse would be (-5).

The additive inverse of 41 is -41. An additive inverse is the number that will make the sum equal zero.

It is zero, by definition of additive inverse!

If we define "opposite" as the additive inverse, the sum is zero.

The additive inverse of a number is the negative of that number. Given one number, its additive inverse is the number that needs to be added to it so that the sum is zero. Thus: The additive inverse of 2.5 is -2.5 The additive inverse of -7.998 is 7.998

The sum is zero.

Yes. For example: * 0 + 0 = 0 * 1/1 + (-1/1) = 0 * 1/2 + 1/3 is not equal to zero. If the second rational number is the additive inverse of the first, then yes the sum of two rational numbers can be zero. The additive inverse is that number when added to another number gives the result 0, and is denoted as the negative of the first number; the additive inverse of the number a is denoted by -(a) and is such that a + -(a) = 0. eg the additive inverse of 1/2 is -(1/2) giving 1/2 + -(1/2) = 0.

The additive inverse of x is -x It is the number that, when added to the original, gives a sum equal to zero.