Lesson 6 Dividing Decimals |

Review the names of the parts of a division operation.

The procedures for dividing decimal values is virtually identical to the work you have already mastered with dividing whole numbers and integers. The big difference here is the need to deal with placing the decimal point in the quotient.

**Topic 1 Placing the Decimal Point: Divisor is a Whole Number**

The decimal point in the quotient for division problems is always located directly over the decimal point in the divisor. This applies only when the divisor is a whole-number value. |

Examples

6.1 5 )30.5 | 42.5 9 )382.5 | 18.02 25 )450.5 |

3.105 |

Exercises

Rewrite the solution to the given division problems, showing the location of the decimal point.

**Topic 2 Placing the Decimal Point -- Divisor Has a Decimal Part**

18.02

25 )450.5

2.5 )450.5

The "secret" to dividing by a decimal value is straightforward: Convert the divisor to a whole-number value and then divide.

And exactly how do you go about doing that? In this example, multiplying the divisor by a factor of 10 eliminates the decimal part:

2.5 x 10 = 25

But you know it is essential to keep the numbers balanced in such problems, so in this instance you also have to multiply the divident by a factor of 10:

450.5 x 10 = 4505

Now the original problem looks like this:

25 )4505

You know what do to from here:

180.2

25 )4505

- Multiply the divisor by factors of 10 until the decimal part is gone.
- Multiply the dividend by the same factors of 10
- Complete the division as with problems where the divisor has no decimal part.
The decimal point in the quotient is then located directly over the decimal point in the divisor. |

Exercises

Prepare these problems for division by converting the divisor to a whole-number value.

If you are having any trouble understanding the content of this lesson, you will benefit from a more detailed tutorial on the subject. |