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Additive Inverse Definition. The additive inverse of a number is the number that, when added to the given number, results in the sum of 0. The additive inverse of a number is also called the opposite or the negation (or negative) of that number.
- The additive inverse of 0 is 0 itself.
- Except for 0, the additive inverse of all other whole numbers (natural numbers) is always negative, since all the natural numbers are positive.
- The sum of a number and its additive identity is the number itself, whereas the sum of a number and its additive inverse is 0.
- How to Find The Additive inverse?
- Properties
- Additive Inverse of Different Numbers
- Difference Between Additive Inverse and Multiplicative Inverse
The additive inverse of any given number can be found by changing the sign of it. The additive inverse of a positive number will be a negative, whereas the additive inverse of a negative number will be positive. However, there will be no change in the numerical value except the sign. For example, the additive inverse of 8 is -8, whereas the additiv...
Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x. So, here we will see the properties of -x. 1. −(−x) = x ...
We have understood that an additive inverse is added to a value to make it zero. Now this value can be a natural number, integer, rational number, irrational number, complex number, etc. Let us find the additive inverse of different types of numbers.
Additive inverse and multiplicative inverse, both have different properties. See the below table to know the differences.
An inverse property is two properties that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse property on each side of an equivalent equation without changing the equality.
Additive inverse is what you add to a number to make the sum zero. For example, the additive inverse of 4 is -4 because their sum is zero. When two numbers are added together to get 0, then we say both the numbers are additive inverses of each other. How do you Find the Additive Inverse of a Given Number?
In mathematics, the additive inverse of an element x, denoted -x [1], is the element that when added to x, yields the additive identity, 0 [2]. In the most familiar cases, this is the number 0, but it can also refer to a more generalized zero element .
Nov 21, 2023 · The additive inverse of x is equal and opposite in sign to it (so, y = -x or vice versa). For example, the additive inverse of the positive number 5 is -5. That's because their sum,...
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May 28, 2023 · Definition: Inverse Properties. Inverse Property of Addition for any real number a, \ [a + (−a) = 0\] −a is the additive inverse of a. Inverse Property of Multiplication for any real number a ≠ 0, \ [a \cdot \dfrac {1} {a} = 1\] \ (\dfrac {1} {a}\) is the multiplicative inverse of a.
