Negative Number - Arithmetic Involving Negative Numbers

Arithmetic Involving Negative Numbers

The minus sign "−" signifies the operator for both the binary (two-operand) operation of subtraction (as in y − z) and the unary (one-operand) operation of negation (as in −x, or twice in −(−x)). A special case of unary negation occurs when it operates on a positive number, in which case the result is a negative number (as in −5).

The ambiguity of the "−" symbol does not generally lead to ambiguity in arithmetical expressions, because the order of operations makes only one interpretation or the other possible for each "−". However, it can lead to confusion and be difficult for a person to understand an expression when operator symbols appear adjacent to one another. A solution can be to parenthesize the unary "−" along with its operand.

For example, the expression 7 + −5 may be clearer if written 7 + (−5) (even though they mean exactly the same thing formally). The subtraction expression 7–5 is a different expression that doesn't represent the same operations, but it evaluates to the same result.

Sometimes in elementary schools a number may be prefixed by a superscript minus sign or plus sign to explicitly distinguish negative and positive numbers as in

−2 + −5 gives −7.

Read more about this topic:  Negative Number

Famous quotes containing the words arithmetic, involving, negative and/or numbers:

    ‘Tis no extravagant arithmetic to say, that for every ten jokes,—thou hast got an hundred enemies; and till thou hast gone on, and raised a swarm of wasps about thine ears, and art half stung to death by them, thou wilt never be convinced it is so.
    Laurence Sterne (1713–1768)

    The problem, thus, is not whether or not women are to combine marriage and motherhood with work or career but how they are to do so—concomitantly in a two-role continuous pattern or sequentially in a pattern involving job or career discontinuities.
    Jessie Bernard (20th century)

    The working woman may be quick to see any problems with children as her fault because she isn’t as available to them. However, the fact that she is employed is rarely central to the conflict. And overall, studies show, being employed doesn’t have negative effects on children; carefully done research consistently makes this clear.
    Grace Baruch (20th century)

    All ye poets of the age,
    All ye witlings of the stage,
    Learn your jingles to reform,
    Crop your numbers to conform.
    Let your little verses flow
    Gently, sweetly, row by row;
    Let the verse the subject fit,
    Little subject, little wit.
    Namby-Pamby is your guide,
    Albion’s joy, Hibernia’s pride.
    Henry Carey (1693?–1743)