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Rounding to a certain number of decimal places

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  Rounding to a certain number of decimal places Andrew DeYoung <adeyoung@andrew.cmu.edu> - 2011-05-27 10:14 +0000
    Re: Rounding to a certain number of decimal places Albert Retey <awnl@gmx-topmail.de> - 2011-05-28 11:19 +0000
    Re: Rounding to a certain number of decimal places Peter Breitfeld <phbrf@t-online.de> - 2011-05-28 11:20 +0000
    Re: Rounding to a certain number of decimal places Ray Koopman <koopman@sfu.ca> - 2011-05-28 11:20 +0000
    Re: Rounding to a certain number of decimal places "Kevin J. McCann" <kjm@KevinMcCann.com> - 2011-05-28 11:21 +0000

#2747 — Rounding to a certain number of decimal places

Hi,

I would like to be able to round a number to a certain, specified
number of decimal places (not number of digits), including zeros.
Suppose that some function f does this, and takes two arguments, the
number to be rounded and the number of decimal places to which to
round:  f[number, numPlaces].  Then, for example, I would like the
following results, if possible:

f[0.8168, 3] = 0.817
f[1.8168, 3] = 1.817
f[10.8168, 3] = 10.817
f[100.8168, 3] = 100.817
f[0.99, 3] = 0.990
f[0.9, 3] = 0.900
f[0.00572, 3] = 0.006

Is there a function f (either built-in or a custom function) that can
do this?  Mathmatica's built-in function NumberForm does not quite do
this because the user specifies the number of digits, not the number
of decimal places.  Also, NumberForm does not count zeros after the
decimal point as digits, nor does it add extra zeros as needed if they
are redundant.

Am I getting into deep water here, or is there something
straightforward that can do what I would like?

I am running Mathmatica 7.  Also, I do not need to be able to do
further computations on the output; I will be converting the output to
a string, anyway.

Thank you very much for your time.

Andrew DeYoung
Carnegie Mellon University

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#2758

Am 27.05.2011 12:14, schrieb Andrew DeYoung:
> Hi,
>
> I would like to be able to round a number to a certain, specified
> number of decimal places (not number of digits), including zeros.
> Suppose that some function f does this, and takes two arguments, the
> number to be rounded and the number of decimal places to which to
> round:  f[number, numPlaces].  Then, for example, I would like the
> following results, if possible:
>
> f[0.8168, 3] = 0.817
> f[1.8168, 3] = 1.817
> f[10.8168, 3] = 10.817
> f[100.8168, 3] = 100.817
> f[0.99, 3] = 0.990
> f[0.9, 3] = 0.900
> f[0.00572, 3] = 0.006
>
> Is there a function f (either built-in or a custom function) that can
> do this?  Mathmatica's built-in function NumberForm does not quite do
> this because the user specifies the number of digits, not the number
> of decimal places.  Also, NumberForm does not count zeros after the
> decimal point as digits, nor does it add extra zeros as needed if they
> are redundant.
>
> Am I getting into deep water here, or is there something
> straightforward that can do what I would like?
>
> I am running Mathmatica 7.  Also, I do not need to be able to do
> further computations on the output; I will be converting the output to
> a string, anyway.
>
> Thank you very much for your time.
>
> Andrew DeYoung
> Carnegie Mellon University
>

you could try:

f[x_]:=NumberForm[x, {10, 3}]

hth,

albert

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#2765

This seems to work:

rounded[x_?NumericQ, places_Integer] :=
 With[{iP = Length[IntegerDigits[IntegerPart[x]]]},
  PaddedForm[N[Round[x 10^places]/10^places], {iP + places, places}]]
rounded[x_, places_] := x



Andrew DeYoung wrote:

> Hi,
>
> I would like to be able to round a number to a certain, specified
> number of decimal places (not number of digits), including zeros.
> Suppose that some function f does this, and takes two arguments, the
> number to be rounded and the number of decimal places to which to
> round:  f[number, numPlaces].  Then, for example, I would like the
> following results, if possible:
>
> f[0.8168, 3] = 0.817
> f[1.8168, 3] = 1.817
> f[10.8168, 3] = 10.817
> f[100.8168, 3] = 100.817
> f[0.99, 3] = 0.990
> f[0.9, 3] = 0.900
> f[0.00572, 3] = 0.006
>
> Is there a function f (either built-in or a custom function) that can
> do this?  Mathmatica's built-in function NumberForm does not quite do
> this because the user specifies the number of digits, not the number
> of decimal places.  Also, NumberForm does not count zeros after the
> decimal point as digits, nor does it add extra zeros as needed if they
> are redundant.
>
> Am I getting into deep water here, or is there something
> straightforward that can do what I would like?
>
> I am running Mathmatica 7.  Also, I do not need to be able to do
> further computations on the output; I will be converting the output to
> a string, anyway.
>
> Thank you very much for your time.
>
> Andrew DeYoung
> Carnegie Mellon University
>

-- 
_________________________________________________________________
Peter Breitfeld, Bad Saulgau, Germany -- http://www.pBreitfeld.de

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#2767

On May 27, 3:14 am, Andrew DeYoung <adeyo...@andrew.cmu.edu> wrote:
> Hi,
>
> I would like to be able to round a number to a certain, specified
> number of decimal places (not number of digits), including zeros.
> Suppose that some function f does this, and takes two arguments, the
> number to be rounded and the number of decimal places to which to
> round:  f[number, numPlaces].  Then, for example, I would like the
> following results, if possible:
>
> f[0.8168, 3] = 0.817
> f[1.8168, 3] = 1.817
> f[10.8168, 3] = 10.817
> f[100.8168, 3] = 100.817
> f[0.99, 3] = 0.990
> f[0.9, 3] = 0.900
> f[0.00572, 3] = 0.006
>
> Is there a function f (either built-in or a custom function) that can
> do this?  Mathmatica's built-in function NumberForm does not quite do
> this because the user specifies the number of digits, not the number
> of decimal places.  Also, NumberForm does not count zeros after the
> decimal point as digits, nor does it add extra zeros as needed if they
> are redundant.
>
> Am I getting into deep water here, or is there something
> straightforward that can do what I would like?
>
> I am running Mathmatica 7.  Also, I do not need to be able to do
> further computations on the output; I will be converting the output to
> a string, anyway.
>
> Thank you very much for your time.
>
> Andrew DeYoung
> Carnegie Mellon University

f[x_,n_] := PaddedForm[x,{n+1+Floor@Log[10,Max[1,Abs@x]],n}]

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#2769

Try NumberForm

On 5/27/2011 6:14 AM, Andrew DeYoung wrote:
> Hi,
>
> I would like to be able to round a number to a certain, specified
> number of decimal places (not number of digits), including zeros.
> Suppose that some function f does this, and takes two arguments, the
> number to be rounded and the number of decimal places to which to
> round:  f[number, numPlaces].  Then, for example, I would like the
> following results, if possible:
>
> f[0.8168, 3] = 0.817
> f[1.8168, 3] = 1.817
> f[10.8168, 3] = 10.817
> f[100.8168, 3] = 100.817
> f[0.99, 3] = 0.990
> f[0.9, 3] = 0.900
> f[0.00572, 3] = 0.006
>
> Is there a function f (either built-in or a custom function) that can
> do this?  Mathmatica's built-in function NumberForm does not quite do
> this because the user specifies the number of digits, not the number
> of decimal places.  Also, NumberForm does not count zeros after the
> decimal point as digits, nor does it add extra zeros as needed if they
> are redundant.
>
> Am I getting into deep water here, or is there something
> straightforward that can do what I would like?
>
> I am running Mathmatica 7.  Also, I do not need to be able to do
> further computations on the output; I will be converting the output to
> a string, anyway.
>
> Thank you very much for your time.
>
> Andrew DeYoung
> Carnegie Mellon University
>

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