## How to comparison decimal numbers

### Thar (view profile)

on 1 Dec 2015
Latest activity Commented on by Walter Roberson

on 2 Dec 2015

### arich82 (view profile)

Hi all!
I have two matrices. They have one column. First matrix is:
7.551119
7.551154
7.551189
7.551224
Second matrix is:
7.551111
7.551146
7.551181
7.551215
I want to comparison two columns but only 5 decimal places. I don't like round my numbers like:
7.55112
7.55115
and so on, if I use the function round.

Walter Roberson

### Walter Roberson (view profile)

on 1 Dec 2015
When you say that you want to compare to 5 decimal places, do you mean that when printed out rounded to 5 decimal places the numbers must match, or do you mean that the difference between the two numbers must be less than 10^(-5) ? Or at most 1/2 * 10^(-5) ?
Thar

### Thar (view profile)

on 2 Dec 2015
I want to keep the 5 decimal points, but not rounded the numbers. for example for the number 7.551187 i want to keep only the 7.55118 and not round to 7.55119.

### arich82 (view profile)

on 2 Dec 2015

You can truncate (without rounding) using floor (or fix, if your numbers can be negative):
x = [ ...
7.551119; ...
7.551154; ...
7.551189; ...
7.551224; ...
];
y = fix(x*1e5)/1e5;
output:
y =
7.551110000000000
7.551150000000000
7.551180000000000
7.551220000000000

Thar

on 2 Dec 2015
Thank you!!

### Image Analyst (view profile)

on 2 Dec 2015

You need to use a tolerance. See the FAQ for a complete explanation: http://matlab.wikia.com/wiki/FAQ#Why_is_0.3_-_0.2_-_0.1_.28or_similar.29_not_equal_to_zero.3F

### Thorsten (view profile)

on 2 Dec 2015
Edited by Thorsten

### Thorsten (view profile)

on 2 Dec 2015

You can round to 5 decimal places using
xr = round(x*1e5)/1e5;
You may want to set
format long
such that the result is properly displayed.

Thar

### Thar (view profile)

on 2 Dec 2015
The question is whether the values are equal, but i don't like to round the values. for example if i have the values 7.551119 and 7.551111 i want to keep for each value 5 decimal points, 7.55111 and 7.55111.These values are equal and this is i want. If i round the values the first value will be 7.55112 and the second is 7.55111.I don't like this.
Image Analyst

### Image Analyst (view profile)

on 2 Dec 2015
Then don't round (as I suspected you shouldn't). Use the tolerance like I told you in my answer where I referred you to the FAQ.
Walter Roberson

### Walter Roberson (view profile)

on 2 Dec 2015
To check, Thodoris, you are okay with 7.551111 comparing equal to 7.551119, but 7.551119 should not compare equal to 7.551121 even though that is closer to it than 7.551111 is?