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ryzh
2 months ago
9

How to solve 34×17 using an area model

English
2 answers:
Leya [7.7K]2 months ago
8 0
The concept behind the area model involves breaking down the multiplication of two larger numbers into a series of simpler multiplications involving smaller numbers. Each of these simpler multiplications corresponds to a section of area depicted in the diagram. Thus, we can express the number 34 as the sum of 30 and 4 and the number 17 as the sum of 10 and 7. Progressing further, we can express it as follows: 34*17=(30+4)*(10+7)=30*10+30*7+4*10+4*7=578.
Leya [7.7K]2 months ago
8 0
34 x 17 = 578 can be decomposed into 34 x 10 = 340 and 34 x 7 = 238. The equation 34 x 10 = 340 translates into 30 x 10 = 300 plus 4 x 10 = 40. Meanwhile, 34 x 7 = 238 equates to 30 x 7 = 210 plus 4 x 7 = 28. When we sum these areas: 300 + 40 + 210 + 28 results in 578.
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