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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.
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.
28 maj 2023 · Recognize the identity properties of addition and multiplication. Use the inverse properties of addition and multiplication. Use the properties of zero. Simplify expressions using the properties of identities, inverses, and zero.
Lesson 3: Additive and multiplicative inverse. Inverse property of addition. Inverse property of multiplication. Additive and multiplicative inverse of a rational number.
The additive inverse is closely related to subtraction, which can be viewed as an addition using the inverse: a − b = a + (−b). Conversely, the additive inverse can be thought of as subtraction from zero: −a = 0 − a. This connection lead to the minus sign being used for both opposite magnitudes and subtraction as far back as the 17th century.
Recognize the identity properties of addition and multiplication; Use the inverse properties of addition and multiplication; Use the properties of zero; Simplify expressions using the properties of identities, inverses, and zero
