Mastering Decimal and Whole Number Multiplication

The video tutorial explains how to multiply a decimal by a whole number using two methods: a visual model and the standard algorithm. The visual model uses a 10x10 grid to represent hundredths, demonstrating the multiplication process by filling in squares. The standard algorithm involves lining up numbers and multiplying each place value, ensuring the correct placement of the decimal point in the final product. Both methods result in the same product of 63 hundredths.

What are the two methods mentioned for multiplying a decimal by a whole number?

• Using a visual model and the standard algorithm

• Using a calculator and mental math

• Using division and multiplication

• Using addition and subtraction

In the visual model, what is the value of each row and each column in the 10 by 10 hundredths grid?

• Each row is worth 1 and each column is worth 1

• Each row is worth 10 and each column is worth 10

• Each row is worth 5 and each column is worth 5

• Each row is worth 100 and each column is worth 100

How do you represent twenty-one hundredths on the visual model?

• By filling in one full row and one square

• By filling in three full columns

• By filling in two full columns and one square

• By filling in one full column and one square

How many times do we need to show twenty-one hundredths in the visual model to multiply it by three?

• One time

• Two times

• Four times

• Three times

What is the product when you count all the squares in the visual model after multiplying twenty-one hundredths by three?

• 42 hundredths

• 53 hundredths

• 63 hundredths

• 73 hundredths

When using the standard algorithm, how should you line up the multiplication problem?

• Align the digits to the left

• Align the digits to the right

• Align the whole numbers

• Align the decimal points

How do you determine the number of decimal places in the final product when using the standard algorithm?

• Count the number of digits to the left of the decimal point in the problem

• Count the number of digits to the right of the decimal point in the problem

• Count the number of whole numbers in the problem

• Count the total number of digits in the problem

What is the final product of multiplying twenty-one hundredths by three using the standard algorithm?

• 42 hundredths

• 73 hundredths

• 53 hundredths

• 63 hundredths