Multiplying Mixed Numbers Using an Area Model

The video tutorial explains how to multiply mixed numbers using an area model. It begins with drawing the area model and then introduces a place value model to simplify the process. The tutorial demonstrates calculating individual areas and combining them to find the total area, which provides the answer to the multiplication problem. The video concludes with a final example to reinforce the concepts.

What does each square represent horizontally in the area model?

• 1/3

• 1/4

• 1/5

• 1/2

In the place value model, how is the number 3 and 2/3 divided?

• 3 as a whole number and 2/3 as a fraction

• Both as fractions

• 3 as a fraction and 2/3 as a whole number

• Both as whole numbers

What is the total area of the section representing 3 by 2 in the area model?

• 4

• 7

• 5

• 6

Why is it important not to simplify fractions immediately in this method?

• To make calculations easier

• To find a common denominator later

• To avoid mistakes

• To keep the numbers larger

What is the common denominator used for adding the fractions in the example?

• 12

• 8

• 14

• 10

In the quick example, what is the whole number part of the first number?

• 12

• 10

• 13

• 11

What is the result of multiplying 7 by 11 in the quick example?

• 99

• 66

• 77

• 88

How is the fraction 21/4 converted in the quick example?

• 5 and 1/2

• 5 and 1/5

• 5 and 1/4

• 5 and 3/4

What is the final answer in the quick example?

• 86 and 19/20

• 87 and 19/20

• 88 and 19/20

• 85 and 19/20

What is the purpose of using an area model in this lesson?

• To learn about fractions

• To visualize multiplication of mixed numbers

• To practice drawing

• To simplify addition