Dividing Decimals: Key Concepts and Examples

The video tutorial explains how to divide decimals by converting them into long division problems. It demonstrates the process of making the divisor a whole number by moving the decimal point and explains why this method works. The tutorial provides two examples: dividing 18.2 by 0.4 and 5.112 by 1.42, showing each step in detail to ensure understanding. The key takeaway is that moving the decimal point in both the divisor and dividend by the same number of places is equivalent to multiplying both by ten, which simplifies the division process.

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

• Move the decimal point in the divisor to the left.

• Write the problem as a long division problem.

• Multiply both numbers by 10.

• Subtract the smaller number from the larger number.

Why do we move the decimal point in both the divisor and the dividend?

• To make the dividend a whole number.

• To make the divisor a whole number.

• To make the quotient a whole number.

• To make the division easier.

What happens to the quotient when we move the decimal point in both the divisor and the dividend?

• It becomes a whole number.

• It becomes a fraction.

• It remains the same.

• It changes.

In the first example, what is the new division problem after moving the decimal points?

• 182 divided by 4

• 18.2 divided by 0.4

• 1.82 divided by 0.04

• 18.2 divided by 4

How many times does 4 go into 18 in the first example?

• 5 times

• 3 times

• 4 times

• 6 times

What is the quotient of 182 divided by 4 in the first example?

• 46.5

• 45.5

• 43.5

• 44.5

In the second example, how many places do we move the decimal point to the right?

• Three places

• Four places

• Two places

• One place

What is the new division problem in the second example after moving the decimal points?

• 5112 divided by 1420

• 511.2 divided by 142

• 51.12 divided by 14.2

• 5.112 divided by 1.42

How many times does 142 go into 511 in the second example?

• 2 times

• 5 times

• 3 times

• 4 times

What is the quotient of 511.2 divided by 142 in the second example?

• 3.5

• 3.6

• 3.7

• 3.8