Dividing Decimals Concepts and Techniques

The video tutorial explains how to divide decimals by converting the divisor into a whole number. It demonstrates this process with two examples: dividing 18.2 by 0.4 and 5.112 by 1.42. The key technique involves moving the decimal point to the right in both the divisor and dividend, effectively multiplying them by ten. This simplifies the division process, allowing for straightforward long division. The video also explains why this method works by comparing it to simpler division problems.

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

• Set up a long division problem

• Add zeros to the dividend

• Convert both numbers to fractions

• Multiply both numbers by 10

How can you make the divisor a whole number when dividing decimals?

• Move the decimal point to the left

• Multiply the divisor by 100

• Add zeros to the divisor

• Move the decimal point to the right

What happens to the division problem when you move the decimal point one place to the right?

• The dividend becomes a fraction

• The divisor becomes a fraction

• The divisor and dividend are multiplied by 10

• The divisor and dividend are divided by 10

In the example of 182 divided by 4, what is the first step after setting up the division?

• Move the decimal point in the quotient

• Add a zero to the dividend

• Subtract 4 from 18

• Determine how many 4s are in 18

What is the quotient of 182 divided by 4?

• 45.5

• 46.5

• 43.5

• 44.5

In the second example, how many places do you move the decimal in the divisor?

• Two places to the right

• One place to the left

• One place to the right

• Two places to the left

What is the new division problem after adjusting the decimals in the second example?

• 511.2 divided by 14.2

• 51.12 divided by 1.42

• 5.112 divided by 14.2

• 511.2 divided by 142

How many 142s are in 511 in the second example?

• 4

• 3

• 5

• 2

What is the final quotient in the second example?

• 3.8

• 3.5

• 3.6

• 3.7

Why is it important to move the decimal point in both the divisor and dividend?

• To keep the quotient the same

• To make the division easier

• To change the value of the numbers

• To avoid using fractions