Definition

Noun 1. The number that is multiplied by another number (the multiplier) in a multiplication operation. It is the quantity that is taken a specified number of times.

Usage

The term "multiplicand" is used specifically in the context of arithmetic and mathematics to identify one of the two primary components in a multiplication expression. In the equation a × b = c, the multiplicand is the number a, which is being multiplied by the multiplier b. The order can be commutative, but the term "multiplicand" traditionally refers to the number that is being repeatedly added.

Examples

• In the multiplication problem , the number is the multiplicand.
• The teacher asked the student to identify the multiplicand in the expression .
• When you multiply, the multiplicand is the quantity that is scaled by the multiplier.

Advanced Usage

• In more advanced mathematics, such as matrix algebra or abstract algebra, the concept extends to any object (e.g., a matrix, vector, or ring element) that is operated on by a multiplier.
• The term is used in computer science, particularly in algorithms for multiplication and digital circuit design (e.g., in a multiplier unit, the multiplicand is one of the inputs).

Variants and Related Words

• Multiply (verb): To perform the operation of multiplication on numbers or quantities.
• Multiplier (noun): The number by which the multiplicand is multiplied.
• Multiplication (noun): The mathematical operation of combining groups of equal sizes.
• Product (noun): The result of multiplying the multiplicand and the multiplier.

Synonyms

• Factor: In multiplication, both the multiplicand and the multiplier are factors of the product. However, "factor" is a more general term that does not specify the role in the operation.
• Operand: A more general term for any quantity on which an operation is performed.

Antonyms

• Divisor: The number by which another number (the dividend) is divided. (This is from the inverse operation, division.)
• Quotient: The result of a division operation.

Related Phrases and Concepts

• Partial Product: In long multiplication, each intermediate result obtained by multiplying the multiplicand by a single digit of the multiplier.
• Repeated Addition: A foundational concept where multiplication is viewed as adding the multiplicand to itself a number of times equal to the multiplier.

Noun

1. the number that is multiplied by the multiplier