music |

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# rational numbers

## summary

**rational number**
*noun, Mathematics*
- Any real number that can be expressed exactly as a ratio of two integers, of the form
*a* / *b*, where *a* and *b* are integers and *b* is not equal to zero.

Computers have limits on the largest and smallest rational numbers that can be represented and rounding or approximation of some rational numbers.

### stub section

This subchapter is a stub section. It will be filled in with instructional material later. For now it serves the purpose of a place holder for the order of instruction.

Professors are invited to give feedback on both the proposed contents and the propsed order of this text book. Send commentary to Milo, PO Box 1361, Tustin, California, 92781, USA.

# rational numbers

**rational number**
*noun, Mathematics*
- Any real number that can be expressed exactly as a ratio of two integers, of the form
*a* / *b*, where *a* and *b* are integers and *b* is not equal to zero.

Examples of rational numbers include 5, -7, 0, 1/2, and 7/3.

Computers have limits on the largest and smallest rational numbers that can be represented and rounding or approximation of some rational numbers.

# free music player coding example

**Coding example:** I am making heavily documented and explained open source code for a method to play music for free — almost any song, no subscription fees, no download costs, no advertisements, all completely legal. This is done by building a front-end to YouTube (which checks the copyright permissions for you).

**View music player in action:** www.musicinpublic.com/.

**Create your own copy** from the original source code/ (presented for learning programming).

Because I no longer have the computer and software to make PDFs, the book is available as an HTML file, which you can convert into a PDF.

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