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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator ( b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  3. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Systematic generalizations of this basic definition define the multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers. Multiplication can also be visualized as counting objects arranged in a rectangle (for whole numbers) or as finding the area of a rectangle whose sides have some given lengths ...

  4. 0.999... - Wikipedia

    en.wikipedia.org/wiki/0.999...

    After defining multiplication, the decimal numbers form a positive, totally ordered, commutative semiring. [66] In the process of defining multiplication, Richman also defines another system he calls "cut ⁠ ⁠", which is the set of Dedekind cuts of decimal fractions.

  5. Multiplication and repeated addition - Wikipedia

    en.wikipedia.org/wiki/Multiplication_and...

    Multiplication is often defined for natural numbers, then extended to whole numbers, fractions, and irrational numbers. However, abstract algebra has a more general definition of multiplication as a binary operation on some objects that may or may not be numbers. Notably, one can multiply complex numbers, vectors, matrices, and quaternions.

  6. Liber Abaci - Wikipedia

    en.wikipedia.org/wiki/Liber_Abaci

    The 2, 8, and 9 resemble Arabic numerals more than Eastern Arabic numerals or Indian numerals. The Liber Abaci or Liber Abbaci [1] ( Latin for "The Book of Calculation") was a 1202 Latin work on arithmetic by Leonardo of Pisa, posthumously known as Fibonacci. It is primarily famous for helping popularize Arabic numerals in Europe.

  7. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient than others. Numerous algorithms are known and there has been much research into the topic. The oldest and simplest method, known since antiquity as long multiplication or grade-school ...

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