Mathematical Language and Symbols

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9 Terms

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Mathematical language

refers to the symbols, terminology, and structure used to express mathematical concepts, relationships, and operations. It's the specialized language through which mathematicians and students communicate mathematical ideas clearly and precisely.

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Characteristics of Mathematical Language

  • It is precise because it can be stated clearly.

  • It is concise because it can be stated briefly.

  • It is powerful because it is capable of expressing complex ideas into simpler forms.

  • It is nontemporal (has no tenses) which makes it so unique as compared to other languages.

  • It also has vocabulary and parts of speech.

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Numbers

are the vey first symbols that can be used to represent quantity. These are the nouns (object) in the English language.

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Operation symbols

like +, -, ^, x, can act as connectives in mathematical sentences.

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Relation Symbols

such as =, ≥, ≠, ≤ are used  for comparison and act as verbs in the mathematical language.

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Grouping symbols

such as ( ), { }, and [ ] are used to associate groups of numbers and operators.

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Variables

are letters that represent quantities and act as pronouns. 

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Mathematical expression

refers to the object of interest acting as the subject in the ordinary language. is -a combination of numbers, variables, constants, operators (like addition, subtraction, multiplication, and division), and does not express a complete thought.

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Mathematical sentence

express a complete thought which can be regarded as true or false.