Successive Mulitiplication Simulation

written by Teresa Carrigan


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THINGS TO NOTICE

In the successive division method, the first remainder is the rightmost digit of the answer. In this successive multiplication method however, the first digit stored is the leftmost digit of the answer (after the radix point). In either case, the first digit stored is the one closest to the radix point.

When the integer part stored is greater than nine, it must be converted to a single digit in the base.

What happens when the decimal number is something easy such as 0.1 or 0.5? Do you always get an exact answer in any base?

When there is an exact answer in base two, would there always be an exact answer for the same starting number in base 4, 8, and 16?

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THINGS TO TRY

Set slow-motion to 0.25, click random, and then click go.

Set the sliders to a problem type you want to drill, then click setup. Attempt one step at a time on paper, and then click the step button to check that you did that step correctly.


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Applets on this website were written by Teresa Carrigan in 2004, for use in computer science courses at Blackburn College, with the exception of the Fireworks applet. The applets made with NetLogo require Java 1.4.1 or higher to run. The applets made with NetBeans require Java 1.4.2 or higher to run. Applets might not run on Windows 95 or Mac OS 8 or 9. You may obtain the latest Java plugin from Sun's Java site.