mathematical product

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mathematical product

The teacher writes the mathematical product of 6 and 7 on the chalkboard.

Definition
  1. Noun:
    • The result of multiplying two or more numbers or quantities together: A "mathematical product" is the number or expression that results from the operation of multiplication.
Usage
  • The term "mathematical product" is used in arithmetic, algebra, and higher mathematics to specify the outcome of multiplication. It is a formal term often used to distinguish the result of multiplication from other types of "products" (e.g., commercial goods).
  • It is typically used in explanatory or instructional contexts.
Examples
  • Noun:
    • The mathematical product of 7 and 8 is 56.
    • In the equation 4 × 5 = 20, the number 20 is the mathematical product.
    • To find the area of the rectangle, calculate the mathematical product of its length and width.
Advanced Usage
  • In algebraic expressions: The "mathematical product" can refer to the result of multiplying variables and constants.
    • In the expression (3x)(2y), the mathematical product is 6xy.
  • In set theory or other mathematical operations: The term can sometimes be used more abstractly to denote the result of a multiplicative operation within a defined system (e.g., the product of two matrices).
Variants and Related Words
  • Product (noun): The more common, shortened form. In a mathematical context, "product" is understood to mean "mathematical product."
    • The product of 10 and 10 is 100.
  • Multiplicand (noun): A number that is to be multiplied by another.
  • Multiplier (noun): A number by which another number (the multiplicand) is multiplied.
  • Multiplication (noun): The arithmetic operation of combining groups of equal sizes.
Synonyms
  • Result of multiplication: The outcome of a multiplication operation.
  • Multiple (in specific contexts): Although "multiple" more commonly refers to a number that can be divided by another number without a remainder, it is related to the concept of repeated addition, which defines multiplication.
Related Phrases
  • Dot product: Also called the scalar product, a specific type of mathematical product for vectors.
  • Cross product: Also called the vector product, another specific operation in vector algebra.
  • Cartesian product: In set theory, a set formed from all ordered pairs of elements from two given sets.
Related Idioms
mathematical product

The teacher writes the mathematical product of 6 and 7 on the chalkboard.

Noun
  1. a quantity obtained by multiplication
    • the product of 2 and 3 is 6

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