Additive Identity

Pronunciation: /ˈædətɪv aɪˈdɛntəti/

Definitions of additive identity

noun a mathematical concept that refers to the number 0, which when added to any number, does not change the value of that number

Example Sentences

A1 The additive identity in mathematics is the number 0.

A2 Students learn about the concept of additive identity in basic algebra.

B1 Understanding the additive identity is essential when working with mathematical equations.

B2 In advanced calculus, the concept of additive identity plays a crucial role in solving complex problems.

C1 Mathematicians delve deeper into the properties of the additive identity in abstract algebra.

C2 The additive identity is a fundamental concept in number theory and its applications in cryptography.

Examples of additive identity in a Sentence

formal In mathematics, the additive identity is the number zero, denoted as 0.

informal The additive identity is basically just the number zero.

slang Zero is like the superhero of addition, it's the additive identity.

figurative Just like how zero is the starting point in math, the additive identity is the foundation of addition.

Grammatical Forms of additive identity

• plural: additive identities
• comparative: more additive
• superlative: most additive
• present tense: additive identity
• future tense: will be additive identity
• perfect tense: has been additive identity
• continuous tense: is being additive identity
• singular: additive identity
• positive degree: additive identity
• infinitive: to be an additive identity
• gerund: being an additive identity
• participle: being additive identity

Origin and Evolution of additive identity

First Known Use: 1601 year

Language of Origin: Latin

Story behind the word: The term 'additive identity' originated in the field of mathematics to describe the element that, when added to any other element, leaves the other element unchanged.

Evolution of the word: The concept of additive identity has been used in mathematics for centuries, evolving from its Latin roots to become a fundamental concept in algebra and arithmetic.