Increasing number of decimal places in Manipulate input

I've made a Manipulate app. in Mathematica where I vary the value of a function f(a) by varying the parameter a. However, I seem to only be able to edit my input for a for a value up to 5 decimal places (if I enter in a number with more than 5 decimal places, it rounds the figure). Is it possible to increase the number of decimal places with which I can enter in my value of a into the manipulate input?

Initially I forgot to specifically address Manipulate. In addition to this post see also:

Manipulating an arbitrary-precision ContourPlot

This question may qualify as a duplicate (I'll let the community votes decide) but it has been asked in a different way so I'll answer it anew.

There are two issues that may be confounded here: input syntax and output formatting.

Input syntax

By default a number entered with a decimal point that has less than 18 digits is interpreted as a machine precision number, while one with more is interpreted as arbitrary precision:

12.                             // Precision
2.7182818284590452              // Precision
2718281828459045.2              // Precision
2.71828182845904523536028747135 // Precision

MachinePrecision

MachinePrecision

MachinePrecision

29.4343

Any number (with or without a decimal point) can be entered with a specific precision by using the  symbol. A raw  means MachinePrecision while e.g. 7 means seven digits of precision:

12      // Precision
12.31   // Precision
3.1420  // Precision

MachinePrecision

1.

20.

Arithmetic between arbitrary and machine precision numbers automatically converts to machine precision:

12.3`1 * 17.2 // Precision

MachinePrecision

Output formatting

Machine precision numbers are by default automatically truncated to six digits in OutputForm, but more digits are still there internally:

2.7182818284590452 // InputForm

2.718281828459045

Methods to control this formatting are presented in: Annoying display truncation of numerical results

One of my own recommendations:

SetOptions[$FrontEndSession, PrintPrecision -> 10] 2.7182818284590452 2.718281828 This Option can be set globally:$FrontEnd, for a session: \$FrontEndSession, for a particular Notebook: EvaluationNotebook[], or even for a particular cell or expression (with the Option Inspector for Cells or Style for single expressions).