ADDITION ALGEBRA Meaning and
Definition
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Addition algebra is a branch of mathematics that deals with the study and manipulation of algebraic expressions involving addition operations. It focuses on the properties and rules of addition, as well as the various techniques used to solve equations and simplify expressions. In addition algebra, numbers or quantities are represented by symbols, known as variables, and mathematical operations such as addition are applied to these variables to perform computations.
The fundamental concept in addition algebra is the addition operation, which combines two or more numbers or quantities to form a single sum. Addition is based on the commutative property, meaning that the order of the numbers or quantities being added does not affect the result. This property allows for the rearrangement of terms in an algebraic expression without changing its value.
Addition algebra also encompasses the concepts of identity element and inverse element. The identity element for addition is zero, which means that adding zero to any number does not change its value. The inverse element of a number in relation to addition is its negative counterpart. Adding a number to its negative will yield the identity element, zero.
In addition algebra, equations involving addition are often solved by isolating the variable on one side of the equation. This may involve applying inverse operations, such as subtraction, to cancel out terms and simplify the expression. Addition algebra also includes techniques and conventions for grouping terms and simplifying expressions using properties of addition, such as combining like terms or using the distributive property.
Common Misspellings for ADDITION ALGEBRA
- zddition algebra
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Etymology of ADDITION ALGEBRA
The word addition originates from the Latin word additionem, which is derived from additus, the past participle of addere. Addere means to add or to join.
The term algebra has its roots in the Arabic language. The Arabic term al-jabr found its way into English through Latin translations of works by mathematical scholars like Al-Khwarizmi, who is often credited as the Father of Algebra. Al-jabr itself comes from the Arabic verb jabbara, which means to reunite or to restore.
The combination of addition and algebra resulted in the term addition algebra.
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