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The answer to this question depends on the multiplication algorithm you are working with. If you are working with an algorithm for multiplying fractions, the answer of why it works the way it does is going to be different than if you are multiplying whole numbers. If you are looking to explain multiplication algorithms to young children (and even to explain algorithms to older children or to better understand them yourself), it is useful to use physical objects and play with multiplication. Once you work out a few of the type of problem you are doing (or a scaled down version if you are working with large numbers) it will likely become clearer to you why it works the way it does.
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Write an Algorithm for multiplication table of an integer?
int firstNumber,secondNumber for(firstNumber = min; firstNumber <= max; firstNumber++); { for(secondNumber = min; secondNumber <=max; secondNumber++); int result firstNumber * secondNumber; }
How are the expanded algorithm and the standard algorithm alike?
The expanded algorithm makes use of the partial products to fully explain place value in multiplication. The standard algorithm which is most commonly used is considered superior and less confusing.
How many components of strassen's matrix multiplication?
While Strassen's original algorithm required 18 quadrant additions and 7 quadrant multiplications, for our work we use the Winograd variation which requires the minimum number of quadrant additions, i.e. 15.
Why binary search algorithm did not work on an unsorted array?
The binary search algorithm works by successively halving the array and determining which half the result lies in, or if the half-way point is the result. In order for that to work, the array must be in order, otherwise choosing the half-way point would be meaningless because it would not tell you which half of the array the result is located in.
Is heyristic an algorithm?
A heuristic is not an algorithm, but rather a general rule of thumb. It doesn't always work, but it's fairly decent.
