**unit 3.1: fractions to decimals**

A fraction? A decimal? Don't remember? No problem.

Lucky for us, I found this great video that explains in great (but understandable) detail what fractions and decimals mean, and how they are related to each other. Let's watch:

Lucky for us, I found this great video that explains in great (but understandable) detail what fractions and decimals mean, and how they are related to each other. Let's watch:

The good news? Converting fractions to decimals is REALLY simple: all you have to do is

*Check the following video for an explanation:*

**DIVIDE the numerator by the denominator.**Here is what we discussed in class:

7e_unit_3.1.pdf | |

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The following videos explain in detail the difference between repeating (called recurring in many other places), and terminating decimals. Check them out!

OK, are you ready to challenge yourself? Click the following link for a website to see how much you remember. Good luck! You can do it!

One of the interesting facts that we learned in class is the

**division of 1- and 2-digit numbers by 99**. This is what I called a "special case." The following website has a very interesting expansion of that concept. However, for our purposes, just concentrate on the part that explains the division of 1- and 2- digits number.

CHECK THIS OUT!!!! Now that you know that dividing a 1- or 2- digit number by

The following website explains how to do it. I enjoyed it a lot:

*doing the opposite (that is, converting a repeating decimal into a fraction), is very straight forward... AND VERY, VERY COOL.***99 results in a terminating decimal in which the number itself becomes the repeating part of the decimal,**The following website explains how to do it. I enjoyed it a lot:

Try the following worksheet as homework. Make sure you understand the difference between

*and***terminating***decimals!***repeating** convert-fractions-to-decimals.pdf | |

File Size: | 105 kb |

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Here is the answer to the worksheet above:

7e_converting_fractions_to_decimals_worksheet_1_-_answers.pdf | |

File Size: | 1083 kb |

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**Now that you know how to convert fractions to decimals, let's reverse it... Let's convert decimals to fractions!**

- First, count the amount of decimals (or number AFTER the decimal period).
- This amount will determine the amount of zeroes in the denominator. For example, if there is only one decimal following the decimal period, the denominator is going to be 10 (one zero). If there are two decimals after the decimal period, the denominator is 100 (2 zeroes). If there are 3 decimals after the decimal period, the denominator is 1000 (three zeroes).
- This means that when you convert decimals to fractions, you will only have base ten denominators!

**0.2 has 1 decimal digit. Therefore, the denominator will be 10 -------------> 2/ 10**

6.78 has 2 decimal digits. Therefore, the denominator will be 100 ------------------> 678/ 100

4.789 has 3 decimal digits. Therefore, the denominator will be 1000 -----------------------> 4789 / 1000

6.78 has 2 decimal digits. Therefore, the denominator will be 100 ------------------> 678/ 100

4.789 has 3 decimal digits. Therefore, the denominator will be 1000 -----------------------> 4789 / 1000

With the following worksheet, you can practice how to convert decimals to fractions. Go ahead, try it out!

7e_converting_fractions_to_decimals_worksheet_2.pdf | |

File Size: | 72 kb |

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Compare your answers to mine:

**online practice **

Ready to challenge yourselves? Here is an online review on decimals. Good luck!

**extra practice**

To make sure you understand the concepts presented here, I suggest you complete the following exercises on your

**TEXTBOOK:****Page 88: #1 and 2****Page 89: #3, 4, 5, 6 and 9**