Formal names of operands and results for math operations
Article explains the names of operands and result of common math operations such as addition, subtraction or division.

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Formal names of operands and results for math operations

ⓘ Remember: Additionsummand+summandaddend+addendaugend+addend}=sumSubtractionminuendsubtrahend=differenceMultiplicationfactorfactormultipliermultiplicand}=productDivisiondividend÷divisornumeratordenominator}={quotientratiofractionModulodividendmoddivisor=remainderExponentiationbaseexponent=powern-th rootradicanddegree=rootLogarithmlogbase(anti-logarithm)=logarithmFunction valuefunction(argument)=function valueIndefinite integralintegrand dx={indefinite integralroot functionanti-derivativeDefinite integrallower limitupper limitintegrand dx={definite integralsigned areaDifferentiationfunctionddxfunction xfunction}=derivative \begin{array}{r|rcl} % ----------------------------------------------------------------------- % Addition % ----------------------------------------------------------------------- \textbf{Addition} & \left. \begin{array}{c} summand + summand \\ addend + addend \\ augend + addend \end{array} \right\} & = & sum \\\\ % ----------------------------------------------------------------------- % Subtraction % ----------------------------------------------------------------------- \textbf{Subtraction} & minuend - subtrahend & = & difference \\\\ % ----------------------------------------------------------------------- % Multiplication % ----------------------------------------------------------------------- \textbf{Multiplication} & \left.\begin{array}{c} factor \cdot factor \\ multiplier \cdot multiplicand \end{array}\right\} & = & product \\\\ % ----------------------------------------------------------------------- % Division % ----------------------------------------------------------------------- \textbf{Division} & \left.\begin{array}{c} dividend \div divisor \\ \frac{numerator}{denominator} \end{array}\right\} & = & \begin{cases}quotient\\ratio\\fraction\end{cases} \\\\ % ----------------------------------------------------------------------- % Other % ----------------------------------------------------------------------- \textbf{Modulo} & dividend \mod divisor & = & remainder \\\\ \textbf{Exponentiation} & base^{exponent} & = & power \\\\ \textbf{n-th root} & \sqrt[degree]{radicand} & = & root \\\\ \textbf{Logarithm} & \log_{base}(\text{anti-logarithm}) & = & logarithm \\\\ % Functions. \textbf{Function value} & function(argument) & = & \text{function value} \\\\ % Integrals. \textbf{Indefinite integral} & \int{\text{integrand}}\ dx & = & \begin{cases}\text{indefinite integral}\\\text{root function}\\\text{anti-derivative}\end{cases} \\\\ \textbf{Definite integral} & \int\limits_{\text{lower limit}}^{\text{upper limit}} \text{integrand}\ dx & = & \begin{cases}\text{definite integral}\\\text{signed area}\end{cases} \\\\ % Differentials \textbf{Differentiation} & \left.\begin{array}{c} \text{function}^{'} \\\\ \frac{d}{dx} \text{function} \\\\ \frac{\partial}{\partial~x} \text{function} \end{array}\right\} & = & derivative \\ \end{array}

  • Basic matemathematics operation, that we can do on numbers are:
    • addition, marked with a symbol ++:
      w=a+bw = a + b
    • subtraction, marked with a symbol -:
      w=abw = a - b
    • multiplication, marked with a symbol \cdot or ×\times:
      w=ab=a×bw = a \cdot b = a \times b
    • division, marked with a symbol //, :: or by using fraction bar:
      w=a/b=a:b=abw = a / b = a : b = \frac{a}{b}
  • Depending on the type of operation, we will name the obtained result in a different way:
    • the result of the addition is called sum (a+ba + b),
    • the result of the subtraction is called difference (aba - b),
    • the result of the multiplication is called product (aba \cdot b),
    • the result of the division is called quotient (a:ba : b).
  • Depending on the type of operation, we also call differently the numbers on which we perform this operation (so-called arguments or operands):
    • numbers, which we add to each other, we call summands or addends:
      sum=the first summand+second summand\text{sum} = \text{the first summand} + \text{second summand}
    • numbers that we subtract from each other, we call minuend and subtrahend:
      difference=minuendsubtrahend\text{difference} = \text{minuend} - \text{subtrahend}
    • numbers, which we multiply, we call factors:
      product=the first factorsecond factor\text{product} = \text{the first factor} \cdot \text{second factor}
    • numbers that we divide, we call dividend and divisor
      quotient=dividend:divisor\text{quotient} = \text{dividend} : \text{divisor}

  • To learn more about basic math operations check out our another calculator: Number operations.


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