Multiplying Decimals Using Visual Models

This lesson teaches how to multiply decimals using a visual model with a 10x10 array. By representing one decimal as rows and the other as columns, students learn to find the product by identifying the area shaded twice. The example of multiplying 3/10 by 7/10 is used, resulting in a product of 21/100. The lesson emphasizes understanding the concept of area in relation to decimal multiplication.

What does each square in the 10 by 10 array represent?

• 1/1000 of the whole

• 1/100 of the whole

• 1/50 of the whole

• 1/10 of the whole

How many rows should be shaded to represent 3/10?

• 1 row

• 2 rows

• 4 rows

• 3 rows

What fraction of the whole does each row represent?

• 1/100

• 1/20

• 1/10

• 1/5

How many columns need to be shaded to represent 7/10?

• 8 columns

• 5 columns

• 6 columns

• 7 columns

What is the product of 3/10 and 7/10 as represented by the shaded area?

• 20/100

• 19/100

• 18/100

• 21/100