Large Numbers and One Million

Large numbers are seldom used by ordinary people like us. Most of our lives, we only use numbers less than 100. We usually have 3-5 siblings, 5-10 friends, 30-40 classmates per academic year, 80 books.

Money is probably the first quantity that we count in thousands. A baseball or basketball game will usually attract several thousands of people. Pound for pound Kings Manny Pacquiao and Floyd Mayweather will most likely attract hundreds of thousands of spectators in an open field, but you would probably better stay home if you’ll be standing a kilometer away from the ring.

The latter two situations involve larger numbers than usual.  Quantities larger than these are actually very hard to estimate unless we find a systematic way of counting.  For instance, it is hard to estimate the number of persons attending a basketball game if we do not know the area of the stadium.

Our inability to handle large numbers comfortably gives us reasons to convert it to other units. If it’s hard to measure in meters, then we convert it to kilometers or miles. It is probably impractical to measure the area of Australia in square meters. » Read more

Blog Carnival Reminder

The Mathematics and Multimedia Blog Carnival is on its fourth edition and will be posted on November 29, 2010 in Math Hombre. The deadline of submission is on Friday, November 26. You may submit your articles here.

To increase the chance of your article of being published, read the Mathematics and Multimedia Carnival’s Criteria for Selection of Articles. If you missed the first three carnival » Read more

GeoGebra Essentials 5 – The Compass Tool and the SSS Congruence

This is the fifth tutorial in the GeoGebra Essentials Series. If you are not familiar with GeoGebra, you may want to read the Introduction to GeoGebra post and prior tutorials. They contain the pre-requisites of this tutorial.

In the tutorial below, menu commands, located in the menu bar, are in brown bold text, and submenus are denoted by the > symbol. For example, Options>Labeling> New Points Only means, click the Options menu, choose Labeling from the list, then select New Points Only. The tool texts are colored orange. For example, New Point means the new point tool.

geogebra - triangle congruence

In this tutorial, we will mimic compass and straightedge construction using GeoGebra’s Compass tool, Segment and Ray tools. We use the concept of the SSS congruence1 to construct a triangle congruent to a given triangle. » Read more

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