Multiplying Decimals by Whole Numbers Using an Area Model

This video tutorial teaches how to multiply decimals by whole numbers using an area model. It begins with a review of base ten blocks and their representation, then explains decimal representation using area models. The concept of multiplication as repeated addition is discussed, highlighting common mistakes. Smart estimation is introduced for multiplying decimals, followed by a pictorial representation of multiplication. A practical example involving money is provided to illustrate the concept. The lesson concludes with a summary of the key points covered.

What does one whole unit represent in the adapted base ten block model for decimals?

• 100

• 10

• 1

• 0.1

Why is it important to consider the decimal point when multiplying decimals?

• It has no effect on the multiplication process.

• It changes the number of digits in the product.

• It affects the placement of the decimal in the product.

• It determines the size of the numbers being multiplied.

What is the smart estimate for 7 multiplied by 0.15?

• 1.4

• 1

• 0.15

• 0.7

How many tenths and hundredths are in the cost of one pencil priced at $0.28?

• 2 tenths and 8 hundredths

• 4 tenths and 2 hundredths

• 3 tenths and 5 hundredths

• 1 tenth and 9 hundredths

What is the smart estimate for the total cost of 6 pencils priced at $0.28 each?

• $2.00

• $1.50

• $1.00

• $1.75