Understanding Multiplication of Decimals

The video tutorial explains the process of multiplying decimals, highlighting the importance of determining the correct placement of the decimal point in the product. It provides two examples: multiplying 42 and 37, and 16 and 723, demonstrating how to handle decimal places and why the product must contain a specific number of decimal places. The tutorial emphasizes understanding decimal place value and the commutative property of multiplication.

What is the key difference between multiplying decimals and whole numbers?

• Whole numbers need a decimal point.

• Decimals are multiplied by adding them.

• Decimals are always larger than whole numbers.

• Decimals require counting decimal places for the product.

How do you determine the number of decimal places in the product of two decimals?

• By adding the decimal places of the factors.

• By subtracting the decimal places of the factors.

• By multiplying the decimal places of the factors.

• By ignoring the decimal places of the factors.

In the example of multiplying 42 and 37, what is the first step after ignoring the decimal places?

• Divide the numbers.

• Multiply the numbers as whole numbers.

• Add the numbers directly.

• Subtract the numbers.

When multiplying decimals, what should you do after calculating the product as whole numbers?

• Add the decimal places to the product.

• Ignore the decimal places.

• Subtract the decimal places from the product.

• Place the decimal point in the correct position.

What is the result of multiplying 42 and 37 as whole numbers before adjusting for decimal places?

• 1554

• 1548

• 1564

• 1574

Why must the product of 4.2 and 3.7 contain hundredths?

• Because the product is always a tenth.

• Because the product is always a whole number.

• Because tenths times tenths equals hundredths.

• Because 4.2 and 3.7 are both whole numbers.

What property of multiplication allows you to change the order of factors without changing the product?

• Identity property

• Commutative property

• Associative property

• Distributive property

In the example of multiplying 16 and 723, how many decimal places should the product have?

• Four

• One

• Two

• Three

How do you adjust the decimal point in the product of a multiplication problem involving decimals?

• Move it to the right by the total number of decimal places.

• Move it to the left by the total number of decimal places.

• Place it at the end of the number.

• Place it at the beginning of the number.

What is the final product of multiplying 16 and 723 with the correct decimal placement?

• 1156.8

• 1.1568

• 11.568

• 115.68