Get rid of extra digits

Question

I have an expression with lots of numbers such as

1.000000002, 2.0000000000001, ...

and I would like to automatically set them to

1, 2, ...

how can I do that?

But I also get something like 1/2, which I don't want to be Floor-ed or Round-ed or Chop-ped to 0... — giulio bullsaver, Feb 28 '19 at 14:47
All of these commands like Round, Floor, etc. have an optional argument that lets you specify their "granularity". For example, Round[x, 1/1000] rounds to the nearest thousandth. Your own solution using Rationalize has this parameter too and is even more flexible. — Roman, Feb 28 '19 at 16:06
I don't understand why the suggestion of @Buddha_the_Scientist has 3 upvotes. -- It does nothing; the output is 1.000000002 (if you look at the FullForm). — Michael E2, Mar 01 '19 at 00:50
Possible duplicate of Quickly reducing the number of decimal digits for a set of real numbers — MarcoB, Mar 01 '19 at 14:21

score 1 · Answer 1 · answered Feb 28 '19 at 15:00

1

A friend of mine gave me a nice answer and I will post it here for completeness.

Use "Rationalize".

answered Feb 28 '19 at 15:00

giulio bullsaver

5

Simple Rationalize /@ {1.000000002, 2.0000000000001} doesn't work, you'll have to specify a "catching range": something like Rationalize[#, 10^-8] & /@ {1.000000002, 2.0000000000001}. – Roman Feb 28 '19 at 16:04
1

This would have been a good answer if you had included an example of how Rationalize[] solves your problem. – J. M.'s missing motivation Mar 01 '19 at 09:18

1 Answers1