# Operand

In mathematics, an operand is a number or variable being worked on in an equation or inequality.

## Notation

In ${\displaystyle (3+5)\times 2}$, the operands are 3, 5, and 2, and the operators are ${\displaystyle +}$ and ${\displaystyle \times }$.

## Name of operands

Operands have different names depending on the operation that is done to them.

• ${\displaystyle x+y}$ Addition: addend
• ${\displaystyle x-y}$ Subtraction: minuend & subtrahend
• ${\displaystyle x\times y}$ Multiplication: factor
• ${\displaystyle x/y}$ Division: dividend & divisor
• ${\displaystyle {\frac {x}{y}}}$ Division (fraction): numerator & denominator
• ${\displaystyle x^{y}}$ Exponentiation: base & exponent
• ${\displaystyle {\sqrt[{y}]{x}}}$ Root: index & radicand
• ${\displaystyle \log x}$ Logarithm: base & power
• ${\displaystyle x\backslash y}$ Modulation: modulend & modulator
• ${\displaystyle n!}$ Factorial: index
• ${\displaystyle \sum _{k}^{n}{x}}$ Summation: summand
• ${\displaystyle \prod _{k}^{n}{x}}$ Product: multiplicand
• ${\displaystyle \lim _{k\to n}{x}}$ Limit: index & limit
• ${\displaystyle \lfloor x\rceil }$ Nearest integer: index
• ${\displaystyle \lfloor x\rfloor }$ Floor: index
• ${\displaystyle \lceil x\rceil }$ Ceiling: index
• ${\displaystyle [x]}$ Integer part: index
• ${\displaystyle \{x\}}$ Fractional part: index