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Open Area Model of Multiplication. Reasons for use:. 1. Considers both dimensions of the array model 2. Increases algebraic thinking 3. Increases understanding of place value . Procedure: Let’s look at the problem 56 x 32 = ?. First: you draw a rectangular box. . 50. 6.
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Reasons for use: • 1. Considers both dimensions of the array model • 2. Increases algebraic thinking • 3. Increases understanding of place value
Procedure: Let’s look at the problem 56 x 32 = ? • First: you draw a rectangular box.
50 6 • Second you break down the number 56 to 50 + 6. And place the new number atop the rectangle Make sure you draw a line down where the two numbers meet. Make sure the line is representative of where they should be on the number line. It does not have to be exact.
50 6 • Third: You perform the same method to the next number, except you place it on the side. 30 2
50 6 • Fourth: Then you multiply: • 50 x 30 • 30 x 6 • 50 x 2 • 6 x 2 30 1,500 180 2 100 12
Fifth: You add up your products. Viola, you have your answer. • 1,500 • 180 • 100 • + 12 • 1,792