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  2. Prosthaphaeresis - Wikipedia

    en.wikipedia.org/wiki/Prosthaphaeresis

    Astronomers had to make thousands of such calculations, and because the best method of multiplication available was long multiplication, most of this time was spent taxingly multiplying out products. Mathematicians, particularly those who were also astronomers, were looking for an easier way, and trigonometry was one of the most advanced and ...

  3. 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.

  4. Calculator input methods - Wikipedia

    en.wikipedia.org/wiki/Calculator_input_methods

    4 − 5 × 6: The multiplication must be done first, and the formula has to be rearranged and calculated as −5 × 6 + 4. So ± and addition have to be used rather than subtraction. When + is pressed, the multiplication is performed. 4 × (5 + 6): The addition must be done first, so the calculation carried out is (5 + 6) × 4.

  5. Tape diagram - Wikipedia

    en.wikipedia.org/wiki/Tape_diagram

    A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication. It is also known as a divided bar model, fraction strip, length model or strip diagram.

  6. Napier's bones - Wikipedia

    en.wikipedia.org/wiki/Napier's_bones

    The second example computes 6785 × 8. Like Example 1, the corresponding bones to the biggest number are placed in the board. For this example, bones 6, 7, 8, and 5 were placed in the proper order as shown below. First step of solving 6785 × 8. In the first column, the number by which the biggest number is multiplied by is located.

  7. Carmichael's totient function conjecture - Wikipedia

    en.wikipedia.org/wiki/Carmichael's_totient...

    Klee's results imply that 8 and Fermat primes (primes of the form 2 k + 1) excluding 3 do not divide the smallest counterexample. Consequently, proving the conjecture is equivalent to proving that the conjecture holds for all integers congruent to 4 (mod 8).

  8. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    492 is close to 500, which is easy to multiply by. Add and subtract 8 (the difference between 500 and 492) to get 492 -> 484, 500. Multiply these numbers together to get 242,000 (This can be done efficiently by dividing 484 by 2 = 242 and multiplying by 1000). Finally, add the difference (8) squared (8 2 = 64) to the result: 492 2 = 242,064

  9. Grid method multiplication - Wikipedia

    en.wikipedia.org/wiki/Grid_method_multiplication

    The grid method (also known as the box method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in mathematics education at the level of primary school or elementary school , this algorithm is sometimes called the grammar school method.