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2. Trachtenberg system - Wikipedia

   en.wikipedia.org/wiki/Trachtenberg_system

   If the answer is greater than a single digit, simply carry over the extra digit (which will be a 1 or 2) to the next operation. The remaining digit is one digit of the final result. Example: Determine neighbors in the multiplicand 0316: digit 6 has no right neighbor; digit 1 has neighbor 6; digit 3 has neighbor 1; digit 0 (the prefixed zero ...

3. Standard algorithms - Wikipedia

   en.wikipedia.org/wiki/Standard_algorithms

   Standard algorithms are digit oriented, largely right-handed (begin operations with digits in the ones place), and focus on rules (Charles, [2] 2020). Below, the standard arithmetic algorithms for addition, subtraction, multiplication, and division are described.

4. Multiplication table - Wikipedia

   en.wikipedia.org/wiki/Multiplication_table

   Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5.

5. Divisibility rule - Wikipedia

   en.wikipedia.org/wiki/Divisibility_rule

   If the tens digit is odd, the ones digit must be 2 or 6. 40,832: 3 is odd, and the last digit is 2. The sum of the ones digit and double the tens digit is divisible by 4. 40,832: 2 × 3 + 2 = 8, which is divisible by 4. 5: The last digit is 0 or 5. [2] [3] 495: the last digit is 5. 6: It is divisible by 2 and by 3. [6]

6. Karatsuba algorithm - Wikipedia

   en.wikipedia.org/wiki/Karatsuba_algorithm

   [1] [2] [3] It is a divide-and-conquer algorithm that reduces the multiplication of two n-digit numbers to three multiplications of n/2-digit numbers and, by repeating this reduction, to at most ⁡ single-digit multiplications.

7. Multiplication - Wikipedia

   en.wikipedia.org/wiki/Multiplication

   Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit.