Algebraically is a term that is commonly used in mathematics. It is a term that is used to describe a mathematical process that involves the use of algebraic equations, formulas, and expressions. The term algebraically is derived from the word algebra, which is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. In this article, we will explore the definition and meaning of the term algebraically.
Definitions
The term algebraically is defined as a mathematical process that is performed using algebraic equations, formulas, and expressions. It involves the manipulation of mathematical symbols and the use of mathematical rules to solve problems. Algebraically is used to describe a process that is performed using algebraic methods.
Origin
The term algebraically is derived from the word algebra, which is derived from the Arabic word al-jabr, which means “reunion of broken parts.” The word algebra was first used in the 9th century by the Persian mathematician Muhammad ibn Musa al-Khwarizmi. Al-Khwarizmi is considered the father of algebra, and his book Al-jabr wa’l-muqabala is considered the first book on algebra.
Meaning in different dictionaries
The term algebraically is defined in different dictionaries as a mathematical process that involves the use of algebraic equations, formulas, and expressions. The Oxford English Dictionary defines algebraically as “in an algebraic manner; by means of algebraic equations or formulae.” The Merriam-Webster Dictionary defines algebraically as “involving or using algebra.”
Associations
The term algebraically is associated with the field of mathematics, particularly with the branch of algebra. It is also associated with the manipulation of mathematical symbols and the use of mathematical rules to solve problems.
Synonyms
The synonyms of algebraically include mathematically, analytically, computationally, and logically.
Antonyms
The antonyms of algebraically include non-algebraically and non-mathematically.
The same root words
The same root words as algebraically include algebra, algebraic, and algebraist.
Example Sentences
- The problem was solved algebraically using the quadratic formula.
- The equation was manipulated algebraically to find the value of x.
- The student demonstrated their understanding of algebraically by solving the complex equation.
- The solution was found algebraically, and then it was checked using a graphing calculator.
- The algebraic expression was simplified algebraically using the distributive property.