Multiplying Whole Numbers by Mixed Numbers Using Area Models

The video tutorial teaches how to multiply whole numbers by mixed numbers using area models. It begins by explaining the concept of area models with whole numbers, then extends the method to mixed numbers. The tutorial includes examples, such as multiplying 5 by 3 1/2 and solving a real-world problem involving Josiah and Jacqueline's running distances. The video emphasizes understanding the process of dividing and shading parts of the area model to represent mixed numbers, ultimately leading to the correct product.

What is the total number of square units in a 5 by 3 rectangle?

• 18

• 15

• 12

• 20

When multiplying 5 by 3 1/2 using an area model, what is the final product?

• 15

• 18

• 17 1/2

• 16 1/2

How do you adjust the rectangle when multiplying by a mixed number like 3 1/2?

• Add another row

• Divide the last row in half

• Remove a column

• Double the width

If Josiah ran 2 1/4 miles, how far did Jacqueline run if she ran three times as far?

• 5 1/2 miles

• 6 miles

• 7 miles

• 6 3/4 miles

What is the first step in adjusting the rectangle for 2 1/4 in the area model?

• Divide the last row into fourths

• Divide the last row into halves

• Shade the entire row

• Add another column