Multiplying Decimals and Estimation

This video tutorial teaches how to multiply decimals using the standard algorithm. It begins with an introduction to decimal multiplication and explains the significance of decimal placeholders. The tutorial then covers estimating the product by rounding and applying the standard algorithm to multiply decimals. It also discusses checking the reasonableness of the answer by comparing it with the estimate. The video explains why the standard algorithm works and concludes with a summary of the steps involved in multiplying decimals.

What happens to the value of a decimal if you remove a zero at the end?

• The value remains the same.

• The value decreases.

• The value becomes zero.

• The value increases.

How would you round 47 hundredths for estimation purposes?

• To 0.5 or one half

• To 0.4 or four tenths

• To 0.6 or six tenths

• To 0.3 or three tenths

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

• Ignore them completely

• Add them together

• Subtract them

• Multiply them

How do you determine where to place the decimal point in the final answer?

• By adding one more decimal place than in the factors

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

• By placing it at the end of the number

• By placing it at the start of the number

What is the estimated product of 52.05 and 0.47?

• Around 24

• Around 26

• Around 28

• Around 30

Why is it important to check your answer with an estimate?

• To increase the number of decimal places

• To avoid using the standard algorithm

• To make the calculation faster

• To ensure the answer is reasonable

What is the result of multiplying 6 tenths by 2 hundredths using fractions?

• 12 over 100

• 12 over 1000

• 12 over 10

• 12 over 1

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

• Subtract the decimal places

• Add the decimal places

• Estimate the product

• Multiply the decimal places

After estimating, what should you do with the decimal places in the standard algorithm?

• Add them

• Subtract them

• Disregard them

• Multiply them

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

• Check your answer with your estimation

• Add more decimal places

• Subtract decimal places

• Multiply the answer by 10