Partial Products Review

The partial products method is a multiplication strategy where numbers are broken down into their place values, and the products of each pair of place values are calculated and then summed to find the final product.

Break down 243 into 200, 40, and 3. Then calculate: (200 x 9) + (40 x 9) + (3 x 9) = 1800 + 360 + 27 = 2187.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320.

First, calculate 8! = 40320. Then multiply: 9000 x 40320 = 362880000.

The area model is a visual representation of multiplication where the factors are represented as lengths and the product as the area of a rectangle.

Break down 529 into 500, 20, and 9. Then calculate: (500 x 7) + (20 x 7) + (9 x 7) = 3500 + 140 + 63 = 3703.

The product of 13 and 7 is 91.

Break down 562 into 500, 60, and 2. Then calculate: (500 x 7) + (60 x 7) + (2 x 7) = 3500 + 420 + 14 = 3934.

Breaking numbers into place values simplifies the multiplication process, making it easier to calculate and understand the contributions of each digit.

1. Break each number into its place values. 2. Draw a rectangle and label the sides with the broken down values. 3. Calculate the area of each smaller rectangle. 4. Sum the areas to find the total product.