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: $\begin{array}{r|rcl} % ----------------------------------------------------------------------- % Addition % ----------------------------------------------------------------------- \textbf{Addition} & \left. \begin{array}{c} \text{summand} + \text{summand} \\ \text{addend} + \text{addend} \\ \text{augend} + \text{addend} \end{array} \right\} & = & \text{sum} \\\\ % ----------------------------------------------------------------------- % Subtraction % ----------------------------------------------------------------------- \textbf{Subtraction} & \text{minuend} - \text{subtrahend} & = & \text{difference} \\\\ % ----------------------------------------------------------------------- % Multiplication % ----------------------------------------------------------------------- \textbf{Multiplication} & \left.\begin{array}{c} \text{factor} \cdot \text{factor} \\ \text{multiplier} \cdot \text{multiplicand} \end{array}\right\} & = & \text{product} \\\\ % ----------------------------------------------------------------------- % Division % ----------------------------------------------------------------------- \textbf{Division} & \left.\begin{array}{c} \text{dividend} \div \text{divisor} \\ \dfrac{\text{numerator}}{\text{denominator}} \end{array}\right\} & = & \begin{cases}\text{quotient}\\\text{ratio}\\\text{fraction}\end{cases} \\\\ % ----------------------------------------------------------------------- % Other % ----------------------------------------------------------------------- \textbf{Modulo} & \text{dividend} \mod \text{divisor} & = & \text{remainder} \\\\ \textbf{Exponentiation} & \text{base}^{\text{exponent}} & = & \text{power} \\\\ \textbf{n-th}\ \textbf{root} & \sqrt[\text{degree}]{\text{radicand}} & = & \text{root} \\\\ \textbf{Logarithm} & \log_{\text{base}}(\text{anti-logarithm}) & = & \text{logarithm} \\\\ % Functions. \textbf{Function}\ \textbf{value} & \text{function}(\text{argument}) & = & \text{function value} \\\\ % Integrals. \textbf{Indefinite}\ \textbf{integral} & \int{\text{integrand}}\ dx & = & \begin{cases}\text{indefinite integral}\\\text{root function}\\\text{anti-derivative}\end{cases} \\\\ \textbf{Definite}\ \textbf{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}^{'} \\\\ \dfrac{d}{dx} \text{function} \\\\ \dfrac{\partial}{\partial~x} \text{function} \end{array}\right\} & = & \text{derivative} \\ \end{array}$

• Basic matemathematics operation, that we can do on numbers are:
• addition, marked with a symbol $+$:
$w = a + b$
• subtraction, marked with a symbol $-$:
$w = a - b$
• multiplication, marked with a symbol $\cdot$ or $\times$:
$w = a \cdot b = a \times b$
• division, marked with a symbol $/$, $:$ or by using fraction bar:
$w = a / b = a : b = \dfrac{a}{b}$
• Depending on the type of operation, we will name the obtained result in a different way:
• the result of the addition is called sum ($a + b$),
• the result of the subtraction is called difference ($a - b$),
• the result of the multiplication is called product ($a \cdot b$),
• the result of the division is called quotient ($a : b$).
• 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:
$\text{sum} = \text{the first summand} + \text{second summand}$
• numbers that we subtract from each other, we call minuend and subtrahend:
$\text{difference} = \text{minuend} - \text{subtrahend}$
• numbers, which we multiply, we call factors:
$\text{product} = \text{the first factor} \cdot \text{second factor}$
• numbers that we divide, we call dividend and divisor
$\text{quotient} = \text{dividend} : \text{divisor}$

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