Multiplying Decimals Using the Standard Algorithm

This video tutorial teaches how to multiply decimals using the standard algorithm. It begins with an introduction to decimal multiplication and explains the role of decimal placeholders. The tutorial covers estimating the product, applying the standard algorithm, and verifying the reasonableness of the answer. It also explains why the standard algorithm works and summarizes the steps involved in multiplying decimals.

What is the first step in estimating the product of two decimal numbers?

• Convert the numbers to fractions

• Multiply the numbers directly

• Round the numbers to the nearest whole number

• Add the numbers together

When using the standard algorithm, what should you do with decimal points initially?

• Subtract them from the final product

• Ignore them

• Add them to the final product

• Multiply them separately

How do you determine the placement of the decimal point in the final answer?

• By placing it at the start of the number

• By adding a zero at the end

• By counting the total number of decimal places in the factors

• By ignoring it completely

Why does the standard algorithm for multiplying decimals work?

• Because it ignores decimal points

• Because it involves subtraction

• Because it is similar to multiplying fractions

• Because it uses addition

What is the final step in the standard algorithm for multiplying decimals?

• Convert the answer to a fraction

• Add more decimal places

• Check the answer with the initial estimate

• Estimate the product again