Arithmetic – Formal Names of Operands and Results for Basic Operations

arithmetic

I'm trying to mentally summarize the names of the operands for basic operations. I've got this so far:

  • Addition: Augend + Addend = Sum.
  • Subtraction: Minuend – Subtrahend = Difference.
  • Multiplication: Multiplicand × Multiplier = Product. Generally, operands are called factors.
  • Division: Dividend ÷ Divisor = Quotient.
  • Modulation: Dividend % Divisor = Remainder.
  • Exponentiation: Base ^ Exponent = ___.
  • Finding roots: Degree √ Radicand = Root.

My questions:

  • I've heard addend used generally for addition operands. Is that correct formal usage?
  • Do subtraction and division lack general names for their operands because they are not commutative? Or am I just ignorant of them?
  • Is the base the same as a mantissa?
  • Is there a formal name for the result of exponentiation?
  • Is there a formal name for the operation of finding the nth root?
  • Am I missing anything else?

Best Answer

Found this table on Wikipedia. It has all the formal names for those operations plus logarithm.

https://en.wikipedia.org/wiki/Template:Calculation_results

Addition

${\left.{\begin{matrix}{\text{summand}}+{\text{summand}}\\{\text{addend (broad sense)}}+{\text{addend (broad sense)}}\\{\text{augend}}+{\text{addend (strict sense)}}\end{matrix}}\right\}}=sum$

Subtraction

${\text{minuend}}-{\text{subtrahend}}=difference$

Multiplication

$\left.{\begin{matrix}{\text{factor}}\times {\text{factor}}\\{\text{multiplier}}\times {\text{multiplicand}}\end{matrix}}\right\}=product$

Division

${\left.{\begin{matrix}{\frac {{\text{dividend}}}{{\text{divisor}}}}\\{\text{ }}\\{\frac {{\text{numerator}}}{{\text{denominator}}}}\end{matrix}}\right\}}={{\begin{matrix}fraction\\quotient\\ratio\end{matrix}}}$

Modulo

${\text{dividend}}{\bmod {\text{divisor}}}=remainder$

Exponentiation

${\text{base}}^{\text{exponent}}=power$

nth root

${\sqrt[{\text{degree}}]{{\text{radicand}}}}=root$

Logarithm

$\log _{\text{base}}({\text{antilogarithm}})=logarithm$

Related Question