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Glossary of terms

D

  • Title

    Directed numbers

  • Description

    Directed number is a term used to describe integers (mostly). In other words, directed numbers are numbers where some direction is implied. This becomes important in navigation: the journey outward is the opposite of the journey back again, even though it covers the same ground, we can consider one as positive and the other negative.

  • Example of use

    It is very important to work carefully when using operations on directed numbers. It is my recommendation when working with directed numbers, that you use implied multiplication with brackets rather than using the $\times$ sign. This is to avoid statements such as $4 \times -3 = -12$ where you have a $\times$ and a $+$ next to each other, as this can lead to confusion. Here is the bracketed alternative: $4\big(-3 \big) = -12$, which means the same thing though, to my mind, it is clearer.

  • See also

  • Title

    Dividend

  • Description

    This is the number being divided up. In the expression $20 \div 5$, $20$ is the dividend.

  • Example of use

    In English, a dividend is the surplus profit of a company, which is divided up after a year of profitable exploitation of its workforce.

    In mathematics, it means roughly the same thing, minus the exploitation. A dividend is the number being divided up.

    In the identity   $10 \div 2 = 5$,   the dividend is 10.

  • See also

  • Title

    Division

  • Description

    Division is the operation where we split up a group of things into smaller groups of the same size.
  • Example of use

    $18 \div 3 = 6$ is a division problem, involving a dividend ($18$) divided ($\div$) by a divisor ($3$) giving a quotient ($6$).

  • See also

  • Title

    Divisor

  • Description

    This is the number being divided by. In the expression $20 \div 5$, $5$ is the divisor.

  • Example of use

    In the identity, $20 \div 5 = 4$, $5$ is the divisor, $20$ is the dividend and $4$ is the quotient.

  • See also