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What are the properties of additive inverse?
What is the inverse property of addition?
What is the additive inverse of a real number?
What is additive inverse of zero?
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.
This Properties Worksheet is great for testing students their working knowledge of the different properties of mathematics, such as the Associative Property, Commutative Property, Distributive Property, Identity Property, Additive Inverse Property, Multiplicative Inverse Property, Addition Property of Zero, and Multiplication Property of Zero.
The additive inverse property is essential in applying the Division and Multiplication Properties of Equality when solving equations. When solving an equation like $3x + 2 = 11$, we can isolate the variable $x$ by subtracting $2$ from both sides, using the additive inverse property: $3x + 2 - 2 = 11 - 2$, which simplifies to $3x = 9$.
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.
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.
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.
The additive inverse demonstrates the property of cancellation; for example, if a + b = a + c, then b must equal c if 'a' is not equal to zero. Understanding additive inverses is crucial when solving equations since they allow for isolating variables by adding the inverse to both sides.
