Decimal Pattern
Take the number pi = 3.14159265358979323846264338…. Compute integer multiples of pi . Then truncate the integer so that you only have the decimal part remaining. Graph the decimal part versus its position in the sequence. What do you see? What would be a logical explanation?
| multiples of pi | approximation | truncation |
| pi | 3.141592653 | 0.141592653 |
| 2*pi | 6.283185306 | 0.283185306 |
| 3*pi | 9.424777959 | 0.424777959 |
| 4*pi | 12.56637061 | 0.566370612 |
| 5*pi | 15.70796327 | 0.707963265 |
Extension:
If you do the same thing with any other decimal number instead of pi, would the observation still be true? Why?