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This document introduces an effective Partial Products Algorithm for multiplication developed by Rina Iati from the South Western School District in Hanover, PA. The method simplifies multiplication by breaking numbers into parts, making it easier to calculate large products mentally or on paper. The example provided (67 x 53) illustrates how to decompose numbers into tens and units and then calculate the products of each part systematically. This teaching approach enhances students' understanding of multiplication concepts and promotes mathematical reasoning.
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Partial Products Algorithm for Multiplication Created by Rina Iati South Western School District Hanover, PA
+ To find 67 x 53, think of 67 as 60 + 7 and 53 as 50 + 3. Then multiply each part of one sum by each part of the other, and add the results 6 7 X 5 3 3,000 Calculate 50 X 60 350 Calculate 50 X 7 180 Calculate 3 X 60 21 Calculate 3 X 7 3,551 Add the results Created By Rina Iati, South Western School District
+ Let’s try another one. 1 4 X 2 3 200 Calculate 10 X 20 80 Calculate 20 X 4 30 Calculate 3 X 10 12 Calculate 3 X 4 322 Add the results Created By Rina Iati, South Western School District
+ Do this one on your own. 3 8 Let’s see if you’re right. X 7 9 2, 100 Calculate 30 X 70 560 Calculate 70 X 8 270 Calculate 9 X 30 72 Calculate 9 X 8 3002 Add the results Created By Rina Iati, South Western School District
