Additive Inverse

Pronunciation: /ˈædɪtɪv ˈɪnvɜrs/

Definitions of additive inverse

noun a mathematical term referring to the opposite of a given number when added to it results in a sum of zero

Example Sentences

A1 An additive inverse is a number that when added to a given number results in zero.

A2 In basic algebra, students learn about the concept of additive inverse and how it relates to addition and subtraction.

B1 Understanding the concept of additive inverse is crucial in solving equations involving negative numbers.

B2 When dealing with complex mathematical operations, it is important to consider the additive inverse of each number involved.

C1 Mathematicians often use the concept of additive inverse in abstract algebra to study properties of number systems.

C2 The concept of additive inverse plays a significant role in advanced mathematical theories such as group theory and ring theory.

Examples of additive inverse in a Sentence

formal In mathematics, the additive inverse of a number is the number that, when added to the original number, results in zero.

informal If you add a number to its additive inverse, you will always get zero.

slang The additive inverse of a number is like its 'opposite' in math.

figurative Finding the additive inverse is like finding the perfect balance point in a mathematical equation.

Grammatical Forms of additive inverse

• past tense: added
• plural: additive inverses
• comparative: more additive inverse
• superlative: most additive inverse
• present tense: add
• future tense: will add
• perfect tense: have added
• continuous tense: adding
• singular: additive inverse
• positive degree: additive inverse
• infinitive: to add
• gerund: adding
• participle: added

Origin and Evolution of additive inverse

First Known Use: 1601 year

Language of Origin: Latin

Story behind the word: The term 'additive inverse' originated from the field of mathematics, specifically in the context of algebraic operations.

Evolution of the word: The concept of additive inverses has been fundamental in mathematics for centuries, with the term itself being widely used in algebraic equations and operations. Over time, the understanding and application of additive inverses have evolved to encompass various branches of mathematics and real-world applications.