Timeline for Approximating $e$ with 2s and 3s
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2011 at 19:01 | comment | added | Gerhard Paseman | Something simpler might be calculating 123e, saving the fractional as well as the integer part, and then using the fractional part of {e} plus the fractional part of 123e to determine which way to round. But if you prefer multiplying... . Gerhard "Why Prefer Multiplication Over Addition" Paseman, 2011.03.03 | |
| Mar 1, 2011 at 11:42 | comment | added | Gerry Myerson | @Ishamis, you want something simpler than calculating $124e$, rounding it to the nearest integer, calculating $123e$, rounding it to the nearest integer, and then subtracting the second integer from the first? | |
| Mar 1, 2011 at 6:11 | comment | added | Aaron Meyerowitz | Since you picked a number near $5!$.. we know that the fractional part of $n!e$ is very nearly $1/n$ and $e$ approximately $2 5/7$ is good enough to say that the fractional part of $123 e$ is about $1/5+15/7$ i.e. of $1/5+1/7$ adding $2 5/7$ to that means that we want a 3. But in general you need to know $e$ accurately enough find which way to round $ne$ | |
| Mar 1, 2011 at 5:30 | history | answered | Gerry Myerson | CC BY-SA 2.5 |