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Free Additive Inverse Property Calculator - Demonstrates the Additive Inverse property using a number. A + (-A) = 0 Numerical Properties. This calculator has 1 input.
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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.
Identify the identity properties of multiplication and addition; Use the inverse property of addition and multiplication to simplify expressions
- 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...
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.
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What is an Additive inverse? An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that; a+(-a) = a – a = 0. Example:
