Partial Products Review

Front

What is the partial products method in multiplication?

Back

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.

Front

How do you calculate 243 x 9 using partial products?

Back

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

Front

What is the factorial of 8 (8!)?

Back

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

Front

How do you find the product of 9,000 and 8! using the factorial?

Back

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

Front

What is the area model in multiplication?

Back

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.

Front

How do you calculate 529 x 7 using partial products?

Back

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

Front

What is the product of 13 and 7?

Back

The product of 13 and 7 is 91.

Front

How do you solve 562 x 7 using partial products?

Back

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

Front

What is the significance of breaking numbers into place values in multiplication?

Back

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

Front

What are the steps to use the area model for multiplication?

Back

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.