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  2. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    the product of a negative number—al-nāqiṣ (loss)—by a positive number—al-zāʾid (gain)—is negative, and by a negative number is positive. If we subtract a negative number from a higher negative number, the remainder is their negative difference. The difference remains positive if we subtract a negative number from a lower negative ...

  3. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Multiplication by a positive number preserves the order: For a > 0, if b > c, then ab > ac. Multiplication by a negative number reverses the order: For a < 0, if b > c, then ab < ac. The complex numbers do not have an ordering that is compatible with both addition and multiplication. [30]

  4. Sign (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Sign_(mathematics)

    In a signed-digit representation, each digit of a number may have a positive or negative sign. In physics, any electric charge comes with a sign, either positive or negative. By convention, a positive charge is a charge with the same sign as that of a proton, and a negative charge is a charge with the same sign as that of an electron.

  5. Talk:Negative number - Wikipedia

    en.wikipedia.org/wiki/Talk:Negative_number

    The resultant sign from multiplication when both are positive or one is positive and the other is negative can be illustrated so long as one uses the positive factor to give the cardinal value to the implied repeated addition or subtraction operation, or in other words, -5 x 2 = -5 + -5 = -10, or 10 ÷ -2 = 10 - 2 - 2 - 2 - 2 - 2 = 0 (the ...

  6. Plus and minus signs - Wikipedia

    en.wikipedia.org/wiki/Plus_and_minus_signs

    The plus sign (+) and the minus sign (−) are mathematical symbols used to denote positive and negative functions, respectively. In addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference. [1]

  7. Positive real numbers - Wikipedia

    en.wikipedia.org/wiki/Positive_real_numbers

    In the study of physical magnitudes, the order of decades provides positive and negative ordinals referring to an ordinal scale implicit in the ratio scale. In the study of classical groups , for every n ∈ N , {\displaystyle n\in \mathbb {N} ,} the determinant gives a map from n × n {\displaystyle n\times n} matrices over the reals to the ...

  8. −1 - Wikipedia

    en.wikipedia.org/wiki/%E2%88%921

    In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0 .

  9. Integer - Wikipedia

    en.wikipedia.org/wiki/Integer

    An integer is positive if it is greater than zero, and negative if it is less than zero. Zero is defined as neither negative nor positive. The ordering of integers is compatible with the algebraic operations in the following way: If a < b and c < d, then a + c < b + d; If a < b and 0 < c, then ac < bc