File:Step Method Algorithm For Multiplication.png
Summary
| Description |
English: The caption in the image describes it completely. |
| Date | |
| Source | Own work |
| Author | LawrencRJ(Richard J. Lawrence) |
This method is ideal for multiplication in doing arithmetic with number systems having a base other than 10 where the memorized multiplication facts for base 10 are invalid. To avoid more than one auxiliary multiple above the multiplicand (as the 2-multiple in this example) you might occasionally find it quicker to use subtraction. For example when filling in the 9-multiple when none of the previous multiples add to the 9-multiple, you can subtract the multiplicand from its 10-Multple in place (without actually appending the zero) by subtracting each digit from the one to its right assuming a zero on each end. Likewise, if there are no previously created multiples that add to the 5-multiple you might find it quicker to divide the 10-Multiple by 2 by assuming an appended zero such that if the multiplicand is odd the remainder of one will give a final 5 rather than zero. (In base 12 these "subterfuges" could be used for 11 and 6 rather than 9 and 5.)
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