# Graphing bigger (and smaller) numbers

You can stack several cycles to get paper that spans several orders of magnitude (every time you multiply by 10, you get 1 order of magnitude). Here are two possibilities.

How many cycles?

### How many cycles would you need to represent the following data:

year | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 |

popn. size | 3 | 17 | 190 | 2871 | 6743 | 34 | 590 | 4282 | 28,475 |

(To make this problem interactive, turn on javascript!)

- I need a hint ... : What are the min and max measurements?

- ...another hint ... : The min and max are 3 and 28,475?

- ...another hint ... : The data span 5 orders of magnitude (1-digit to 5-digits).

#### I think I have the answer: 5 cycles, starting at "1".

### How many cycles would you need to represent the following data:

day | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

cell size (um) | 0.003 | 0.017 | 0.290 | 0.2871 | 6.743 | 34.0 | 0.590 | 0.04282 | 3.8475 |

(To make this problem interactive, turn on javascript!)

- I need a hint ... : What are the min and max measurements?
(Be careful -- don't assume the max is in the last day).

- ...another hint ... : The min and max are 0.003 and 34.0.

- ...another hint ... :The smallest cycle must start with 0.001 . The largest cycle must start with 10.0.

#### I think I have the answer: 5 cycles, starting at "0.001".

Copyright University of Maryland, 2007

You may link to this site for educational purposes.

Please do not copy without permission

requests/questions/feedback email: mathbench@umd.edu