Dividing Decimals and Estimation Strategies

This video tutorial covers the process of dividing decimals, focusing on dividing a decimal by a whole number and by another decimal. It begins with a review of key vocabulary such as dividend, divisor, and quotient. The video explains the procedure for dividing by a whole number, including placing the decimal point in the quotient and performing long division. It then moves on to dividing by decimals, detailing how to adjust the decimal points in both the divisor and dividend to simplify the division. The tutorial includes several examples to illustrate these concepts, emphasizing the importance of continuing division until the decimal terminates or repeats.

What is the term for the number being divided in a division problem?

• Remainder

• Quotient

• Dividend

• Divisor

When dividing a decimal by a whole number, where should the decimal point be placed in the quotient?

• At the end of the quotient

• Directly above the decimal in the dividend

• At the beginning of the quotient

• It should be removed

If a decimal division results in a repeating decimal, what should be done?

• Continue dividing until it terminates or repeats

• Add more digits to the dividend

• Round the number

• Stop dividing

What is the first step when dividing a decimal by another decimal?

• Add zeros to the dividend

• Move the decimal point in the divisor to the right

• Convert the dividend to a whole number

• Subtract the divisor from the dividend

Why does multiplying both the divisor and dividend by the same number not affect the quotient?

• It changes the value of the quotient

• It simplifies the division

• It makes the divisor a whole number

• It maintains the ratio between them

In the example 68.9 divided by 13, what is the equivalent division problem after adjusting the decimal?

• 68.9 divided by 1.3

• 68.9 divided by 130

• 6.89 divided by 1.3

• 6.89 divided by 13

When dividing 67.8 by 26, what is a helpful strategy to estimate the quotient?

• Round 67.8 to 70 and 26 to 30

• Divide directly without estimation

• Use a calculator

• Round 67.8 to 60 and 26 to 20

What is the quotient of 1,200 divided by 36 when expressed as a repeating decimal?

• 32.3

• 34

• 33.33

• 33.3 with a bar over the first three

How do you handle a remainder when dividing decimals?

• Convert it to a fraction

• Round it up

• Ignore it

• Add zeros to the dividend and continue dividing

What is the result of dividing 6.89 by 1.3 using the fraction method?

• 68.9 divided by 13

• 6.89 divided by 1.3

• 6.89 divided by 13

• 68.9 divided by 1.3