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What is a number added to its additive inverse will always have a sum of zero?
Wiki User
∙ 9y ago
It is a tautological description of one of the basic properties of numbers used in the branch of mathematics called Analysis:
Property 2: there exists an additive identity, called 0; for every number n: n + 0 = 0 + n = n.
Property 3: there exists an additive inverse, of every number n denoted by (-n) such that n + (-n) = (-n) + n = 0 (the additive identity).
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoIt is a tautology - based on the definition of zero as the additive identity.
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Additive inverse of a number?
The additive inverse of a number is that which when added to the number gives 0. If n is a number then the additive inverse of it (-n) is that number such that: n + -n = 0 For example, the additive inverse of '4' is '-4'.
What is the additive inverse of -75?
The additive inverse of a number is a number, when added to the original number, equals 0. Here, that number would be 75.
The opposite of a number is also called?
The opposite of a number is also called an additive inverse. An additive inverse of a number a is the number that, when added to a, yields zero.
What is additive inverse?
The additive inverse of a number is the number with the same magnitude but with the sign changed. It is a number such that the two numbers added together make zero (the additive identity).
What is the additive inverse of 6?
-6. The additive inverse of a number is the number, that, when added to the original number, causes it to equal zero. You can kind of think of it like an opposite number. So, the additive inverse of 2 is -2, and -4 is 4.
Will additive inverse always equal 0?
When a number is added to its additive inverse, the result is always 0.
When a number is added to its additive inverse what is the sum equal to?
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)
Additive inverse of a number?
The additive inverse of a number is that which when added to the number gives 0. If n is a number then the additive inverse of it (-n) is that number such that: n + -n = 0 For example, the additive inverse of '4' is '-4'.
What is the additive inverse of 35?
-35 The additive inverse of a number is the number that will equal 0 when added to the original number so the additive inverse of 3 is -3 the additive inverse of 782 is -782 etc.
When the number is added to its additive inverse what is the sum equal to?
It is zero, by definition of additive inverse!
What does mean additive inverses?
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
What is the additive inverse of a number?
The additive inverse of x is -x It is the number that, when added to the original, gives a sum equal to zero.
What is the additive inverse of -327?
Additive inverse is a number that when added to a given number results in a sum of 0. So the additive inverse of -327 is 327. -327 + 327 = 0
What is the additive inverse of a negative number?
Additive Inverse would be the number that when added to a given number creates a total of zero. The additive inverse for any negative number would be the positive counterpart. The additive inverse of -5 is 5. The additive inverse of -2 is 2, since -2 + 2 = 0.
What is the additive inverse of -75?
The additive inverse of a number is a number, when added to the original number, equals 0. Here, that number would be 75.
What is an additive inverse?
The additive inverse states that a number added to its opposite will equal zero. A + (-A) = 0 The "opposite" number here is the "negative" of the number. For any number n, the additive inverse is (-1)n.
What is the additive inverse of a negative?
Additive Inverse would be the number that when added to a given number creates a total of zero. The additive inverse for any negative number would be the positive counterpart. The additive inverse of -5 is 5. The additive inverse of -2 is 2, since -2 + 2 = 0.
