Difference between Additive Inverse and Multiplicative Inverse
Let’s discuss the differences between additive and multiplicative inverses.
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Additive Inverse vs. Multiplicative Inverse |
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Aspect |
Additive Inverse |
Multiplicative Inverse |
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Definition and Notation |
The additive inverse of a number ‘a’ is represented as ‘-a.’ |
The multiplicative inverse of a non-zero number ‘a’ is denoted as ‘1/a’ or ‘a-1.’ |
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Similarities |
Both inverses involve operations with a given number to result in a specific outcome: zero for additive inverses and one for multiplicative inverses. |
Both concepts play fundamental roles in algebraic manipulations and equation-solving. |
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Properties |
Adding a number to its additive inverse yields zero: a+(−a)=0. |
Multiplying a number by its multiplicative inverse results in one: a x (1/a) =1. |
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Applications |
Used in solving equations, balancing expressions, and understanding symmetries. |
Applied in solving equations involving division, scaling, and proportionality. |
Additive Inverse and Multiplicative Inverse
Additive inverse of a number is what you add to the original number to get a sum of zero. On the other hand, multiplicative inverse of a number is what you multiply the original number by to get a product of one.
Additive Inverse and Multiplicative Inverse in Math
Let’s learn about the Additive Inverse and Multiplicative Inverse with the help of solved examples.