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Guilherme Mazui

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What is the Difference Between Numerical Expression and Algebraic Expression?

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The main difference between a numerical expression and an algebraic expression lies in the presence of variables. Here is a comparison of the two types of expressions:

Numerical Expression:

  • Contains only numbers and mathematical operators (addition, subtraction, multiplication, division).
  • The numbers may be positive or negative.
  • Can be simplified down to one term or number using the PODMAS or BODMAS method.
  • Example: 14 + 32.

Algebraic Expression:

  • Includes at least one variable in addition to numbers and mathematical operators.
  • Contains constants (numbers) and variables (letters).
  • The value of the expression can change depending on the value of the variable(s).
  • Example: 2(x + 8y).

In summary, a numerical expression consists of numbers and mathematical operators, while an algebraic expression includes variables in addition to numbers and mathematical operators. Algebraic expressions can change in value based on the variable's value, whereas numerical expressions have a fixed value.

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  • What is the Difference Between Numerical Expression and Algebraic Expression?
  • Comparative Table: Numerical Expression vs Algebraic Expression

    • Comparative Table: Numerical Expression vs Algebraic Expression

    Here is a table comparing the differences between numerical expressions and algebraic expressions:

    Feature Numerical Expression Algebraic Expression
    Definition A mathematical phrase that consists of numbers and mathematical operations (addition, subtraction, multiplication, and division). A mathematical phrase that contains numbers, variables, and mathematical operations.
    Constants Contains only constants (fixed values). Contains both constants and variables.
    Variables Does not contain variables. Contains variables.
    Operations Includes addition, subtraction, multiplication, and division. Includes the same operations as numerical expressions, but can also involve exponents and roots.
    Evaluation Can be evaluated directly to obtain a fixed numerical value. Requires knowing the values of the variables to evaluate the expression.
    Fixed Value Has a fixed value. Can change depending on the values of the variables.

    Examples of numerical expressions include 14 + 32 and 2(3x + 14). Examples of algebraic expressions include 14x - 32 and 7x + 5 = 19.

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    Guilherme Mazui

    Guilherme Mazui is graduated in journalism from the Federal University of Minas Gerais (UFMG) and a master's degree in Communication from the University of São Paulo (USP). In addition, he has experience in advertising writing and has worked as a content editor in several companies.