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- The value, which, when added to the original number gives 0, is known as the additive inverse. Suppose, x is the original number, then its additive inverse will be minus of x, i.e., − x, such that: x + (– x) = x – x = 0 For example, 6 + (− 6) = 0. Hence, – 6 is the additive inverse of 6 and vice versa.
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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.
Enter a number below: Using the number 1. Show the Additive Inverse Property. Additive Inverse Definition: The sum of any number and its opposite (inverse) is 0. A + (-A) = 0. Plug in A = 1. 1 + (-1) = 0. -1. How does the Additive Inverse Property Calculator work?
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...
There is also a property called additive inverse. In additive inverse, we add a certain value to a number (integer) to get zero as the final result. For example, −8+8 = 0 − 8 + 8 = 0. −8 − 8 is an additive inverse of 8 8. Property 2. In inverse operations multiplication is the inverse of division.
Additive inverse of a number is a number that, when added to the original number, gives the sum of 0. Learn the definition, property, formula, and more.
The additive inverse property is crucial in the context of adding and subtracting integers, as well as solving equations using the Division and Multiplication Properties of Equality. Recognizing and applying the additive inverse property is essential for manipulating and simplifying algebraic expressions involving signed numbers.
