Sunday, November 17, 2013

Algorithm's For Multiplication and Division Of Whole Numbers

Multiplication of Algorithms
Multiplication of Algorithm is a method to multiply two numbers.
Partial-Product Algorithm: is where each factor is thought of as a sum of ones, tens, hundreds and so on.  Then each part of one factor is multiplied by each part of the other factor, and all of the resulting parital products are added together.   An example of this is 

Modified Standard Algorithm: is where you multiply ones and tens separately and add everything.
An example of this is 
Division of Algorithms
If a and b are whole numbers with b not being zero, then there are unique integers q and r such that a=bq+r. q is the quotient and r is the remainder of a divided by b.
Long-Division Algorithm: is where you divide the dividend by the divisor.  Dividend 425 divided by divisor 25.  An example of this is 
Short-Division Algorithm: is like long-division but shorter and the divisor is less than 10.  Dividend 500 divided by divisor 5.   An example of this is 

No comments:

Post a Comment