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In simple words, the additive inverse of a number is the opposite or negative of that number. In general, we can study the concept of additive inverse for integers, rational numbers, real numbers, etc. Note that the number 0 is known as the additive identity. Additive inverse examples: The additive inverse of 7 is – 7, since 7 + (– 7) = 0.
- 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.
- Additive Inverse of Real Numbers
- Additive Inverse of Complex Numbers
- Additive Inverse of A Fraction
The given number can be a whole number, a natural number, an integer, a fraction, a decimal, or any real number. The additive inverse of real numbersis just the negative of the given number.
The algebraic property of complex numbersstates the existence of additive inverse. Given any complex number z ∈ C, there is a unique complex number, denoted by -z, such that z + (-z) = 0. Moreover, if z = (x,y) with x,y ∈ R, then -z = (-x,-y). Let Z = x + iy be the given complex number. Then its inverse is -Z = -x - iy. For example, the additive in...
The additive inverse of a fraction a/b is -a/b, and vice-versa. It is because a/b + (-a/b) = 0. The additive inverse of a positive fraction is the same fraction with the negative sign, while for a negative fraction, its additive inverse is the same fraction without the negative sign. The general formula for the additive inverse of a number can be g...
Nov 21, 2023 · The additive inverse is actually a specific case of a more general idea. The definition of additive inverse of a number is a number that is added to the original and gives zero. For example, the ...
Properties. 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.
Additive inverse. 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. In elementary mathematics, the additive inverse is often referred to as the ...
Nov 21, 2023 · Addition Property Definition. The addition property of equality states that any value-added to one side of an equation must also be added to the other side of the equation to maintain the balance ...
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Short Summary The additive inverse of a number is what you add to a number to create the sum of zero. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y ...
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