Month: September 2013

Fractions with Terminating Decimals

College Algebra, College Mathematics, High School Algebra, High School Mathematics

Late last month, we have talked about fractions with terminating decimals as well fractions with non-terminating decimals. We ended up with a conjecture that a fraction is a terminating decimal if its denominator has only the following factors: 2 (or its powers), 5 (or its powers) or both.  In this post,we refine this conjecture. This conjecture is the same as saying

A rational fraction \frac{a}{b} in the lowest terms has a terminating decimal if and only if the integer b has no prime factor other than 2 and 5.

Note that we have already explained the only if part in the preceding post. It remains to show that if part which is

if \frac{a}{b} is in lowest terms and b contains at most 2 and 5 as factors, then the fraction is a terminating decimal. » Read more

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GeoGebra Tablet Apps for iPad, Android, Windows 8

GeoGebra

To all GeGebra fans out there,  it is time to celebrate! The International GeoGebra Institute has currently released GeoGebra tablet apps for three major platforms. This includes the GeoGebra tablet apps for iPad, Android, and Windows 8. As of this writing, these versions, except the iPad version, can now be downloaded at the GeoGebra download page.

According to the Official GeoGebra blog, the new tablet apps have the following key features:

  • Integrate GeoGebraTube Search
  • Worksheet View
  • Graphics and Algebra View
  • Touch-optimized Toolbar and Stylebar
  • Powerful Input Bar
  • Fully compatible with Desktop versions

For questions and suggestions, please visit the GeoGebra Tablet App forum. In addition, the International GeoGebra Institute is currently working on the  upcoming version of GeoGebra which is GeoGebra 4.4.

GeoGebra is an amazing free dynamic mathematics software. You can download it at GeoGebra’s official webpage and learn how to use it at Math and Multimedia’s GeoGebra page. It contains more than 50 GeoGebra Tutorials from basic to advanced.

Image Credit: GeoGebra Blog

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August 2013 – The Most Popular Posts

Post Summary, Top Posts

It’s the first day of September and  the breeze is getting cold, but it is still warm during the afternoon here in the Philippines.

September is the beginning of the “ber” months, a sign that Christmas is near. While enjoying the first cold breeze, you might want to explore the most popular posts for the month of August. As you can probably observe, I’m going back to the basics. I have been posting articles that are quite beyond high school mathematics which is the scope of this blog. Expect more basic mathematics and tutorial posts in the months to come.

The Most Popular Posts

  1. Proof that Out of 6 Persons Either 3 are Friends or 3 are Strangers
  2. Aristotle’s Theory on the Mathematics of Rainbows
  3. Math Misconception: Incorrect Real Number System Diagram
  4. How to Play and Enjoy the Dots and Boxes iPad App
  5. Fractions with Terminating and Non-Terminating Decimal Representations
  6. Who is the greatest mathematician?
  7. Math Trick 4: A Shortcut on Multiplying Numbers by 13
  8. Math Teachers at Play 65: Teach, Learn and Enjoy
  9. Dodgem Cars: A Pretty Interesting Abstract Game

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