Answer :
Final Answer:
The product of 193 and 37 is D) 7191.
Explanation:
The strategy of drawing rectangles allows for a flexible approach to multiplication, breaking down numbers into more manageable components. By decomposing 193 as 200 - 7 and 37 as 30 + 7, we can simplify the multiplication process by working with these rounded figures.
This method involves drawing a rectangle and partitioning it into smaller rectangles corresponding to the decomposed numbers. Then, by multiplying the lengths and widths of these rectangles and summing the products, we arrive at the final answer.
In this case, we draw a rectangle representing 200 × 30 and another representing 7 × 30. Then, we draw rectangles for 200 × 7 and 7 × 30. By calculating the areas of these rectangles and adding them up, we obtain the product of 193 and 37, which is 7191.
Using the rectangle method not only simplifies complex multiplication problems but also provides a visual representation that aids in understanding the arithmetic involved. This technique is particularly useful for students learning multiplication or for mental math strategies.
