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Properties of Inverse Operations. Inverse Additive Property. 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.
28 maj 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.
Inverse operations are operations which reverse or “undo” another operation. They are also sometimes referred to as ‘opposite operations’. The four math operations are addition, subtraction, multiplication and division. Addition and subtraction are inverse operations. For example, \begin{aligned}& 4+5=9 \\\\ & 9-4=5 \end{aligned}
28 maj 2023 · The identity property of addition: for any real number a, a + 0 = a 0 + a = a 0 is called the additive. The identity property of multiplication: for any real number a. a · 1 = a 1 · a = a 1 is called the multiplicative identity.
The Inverse Property of Addition says that any number added to its opposite is equal to zero. a + (-a) = 0 The Inverse Property of Multiplication says that any number multiplied by its reciprocal is equal to 1.
Use the Inverse Properties of Addition and Multiplication. In the following exercises, find the multiplicative inverse.
The inverse property of addition states: If you add the positive and negative versions of a number, the sum will be 0. x+ (−x)=0. Unless x=0, we are adding a positive number and a negative number together. The two numbers look almost the same. However, the second number has a negative sign in front.
