Properties of Addition and Multiplication of Real Numbers

We are all familiar with some properties of real numbers. Real numbers are commutative, associative, and closed under addition and multiplication. We have also discussed that multiplication of real numbers is distributive over addition.

In this post, we formalize our knowledge of these properties of real numbers and add two more to the list: the identity and inverse properties. Notice also that almost all properties under addition have their corresponding equivalents under multiplication. » Read more

Origami and Its Surprising and Stunning Applications

Last year, I shared to you about Professor Haga’s superb book on the mathematics of origami titled Origamics: Mathematical Explorations Through Paper Folding. Yesterday, I found the video below on Facebook about origami and its relationship to mathematics, as well as its numerous surprising applications. Watch and be amazed.

Sometimes, I want to believe that somehow everything is connected to everything else. Well, I think physicists already believe that.

Off Topic: Fellow Filipinos, Typhoon Victims Need Your Help

Every year, an average of 20 typhoons pass our country leaving millions of dollars damage to crops and infrastructures and thousands of lost lives. The most recent of these tragedies was by typhoon Pablo who left about 600 dead and more than 800 missing in Mindanao (one of our three large islands). Yesterday, according to the Philippine Daily Inquirer, the victims queue up begging for food (read full article here), some of whom eating whatever edible they could salvage.

I appeal to fellow Filipinos around the world to kindly donate to the flood victims. This way we could share our blessings to our fellow men who are in dire need as of this moment.

To those who are willing to donate, please go to the ABS CBN Foundation or GMA Kapuso Foundation. I tried to search their website if they have a Paypal account, but it seems that they have none [sigh].

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