**Inside Your Calculator**

Further Applications for **Inside
Your Calculator**

Here are new Appendices associated with * Inside
Your Calculator*:

**Appendix T. Dividing
Numbers with Many Digits**

The algorithms

BIGMULTandBIGDIVare developed through comparison with our standard decimal algorithms for carrying out similar procedures with one and two-digit numbers. This provides insights into the important and rarely explained bases for these procedures. The programBIGMULT, which appears asInside Your CalculatorAppendix L, describes in detail a program that will give you the ability to multiply numbers with products of up to 400 digits. You can use TI Connect software to download the program to your calculator from bigmult.The program

BIGDIVofAppendix Textends the ideas ofBIGMULTto division, The resulting program will handle calculations whose divisor, dividend and quotient may each have up to 400 digits. You can use TI Connect software to download the program to your calculator from bigdiv.The program

BIGDIVcan be very slow, however. The reason: correcting the partial quotient when it turns out to be too large is done by reducing the trial quotient one at a time. With large numbers this can slow the process considerably. A way around this is described in Donald Knuth's, volume 2 (The Art of Computer ProgrammingSeminumerical Algorithms), pages 237-241. The programBIGDIV2(being developed) accelerates the calculation ofBIGDIVby applying a short-cut in that section of the division program.

**Appendix U. Square Root by the Old
School Algorithm**

The program

SCHSQRTofAppendix Umirrors the algorithm taught to reluctant middle school students for many years before Newton's Method and calculators came to their rescue.

**Appendix V. Random Numbers and the Monte Carlo Method**

This appendix, currently in preparation, discusses how to use your calculator's random number generator to address probability problems and so-called Monte Carlo applications.