Output Formats for Numbers

ScientificForm[expr]print all numbers in scientific notation
EngineeringForm[expr]print all numbers in engineering notation (exponents divisible by 3)
AccountingForm[expr]print all numbers in standard accounting format

Output formats for numbers.

These numbers are given in the default output format. Large numbers are given in scientific notation:
Click for copyable input
This gives all numbers in scientific notation:
Click for copyable input
This gives the numbers in engineering notation, with exponents arranged to be multiples of three:
Click for copyable input
In accounting form, negative numbers are given in parentheses, and scientific notation is never used:
Click for copyable input
NumberForm[expr,tot]print at most tot digits of all approximate real numbers in expr
ScientificForm[expr,tot]use scientific notation with at most tot digits
EngineeringForm[expr,tot]use engineering notation with at most tot digits

Controlling the printed precision of real numbers.

Here is to 30 decimal places:
Click for copyable input
This prints just 10 digits of :
Click for copyable input
This gives 12 digits, in engineering notation:
Click for copyable input
option name
default value
DigitBlockInfinitymaximum length of blocks of digits between breaks
NumberSeparator{","," "}strings to insert at breaks between blocks of digits to the left and right of a decimal point
NumberPoint"."string to use for a decimal point
NumberMultiplier"[Times]"string to use for the multiplication sign in scientific notation
NumberSigns{"-",""}strings to use for signs of negative and positive numbers
NumberPadding{"",""}strings to use for padding on the left and right
SignPaddingFalsewhether to insert padding after the sign
NumberFormatAutomaticfunction to generate final format of number
ExponentFunctionAutomaticfunction to determine the exponent to use

Options for number formatting.

All the options in the table except the last one apply to both integers and approximate real numbers.

All the options can be used in any of the functions NumberForm, ScientificForm, EngineeringForm, and AccountingForm. In fact, you can in principle reproduce the behavior of any one of these functions simply by giving appropriate option settings in one of the others. The default option settings listed in the table are those for NumberForm.

Setting DigitBlock->n breaks digits into blocks of length :
Click for copyable input
You can specify any string to use as a separator between blocks of digits:
Click for copyable input
This gives an explicit plus sign for positive numbers, and uses | in place of a decimal point:
Click for copyable input

When the Wolfram Language prints an approximate real number, it has to choose whether scientific notation should be used, and if so, how many digits should appear to the left of the decimal point. What the Wolfram Language does is first to find out what the exponent would be if scientific notation were used, and one digit were given to the left of the decimal point. Then it takes this exponent, and applies any function given as the setting for the option ExponentFunction. This function should return the actual exponent to be used, or Null if scientific notation should not be used.

The default is to use scientific notation for all numbers with exponents outside the range to :
Click for copyable input
This uses scientific notation only for numbers with exponents of 10 or more:
Click for copyable input
This forces all exponents to be multiples of 3:
Click for copyable input

Having determined what the mantissa and exponent for a number should be, the final step is to assemble these into the object to print. The option NumberFormat allows you to give an arbitrary function which specifies the print form for the number. The function takes as arguments three strings: the mantissa, the base, and the exponent for the number. If there is no exponent, it is given as "".

This gives the exponents in Fortranlike "e" format:
Click for copyable input
You can use FortranForm to print individual numbers in Fortran format:
Click for copyable input
PaddedForm[expr,tot]print with all numbers having room for tot digits, padding with leading spaces if necessary
PaddedForm[expr,{tot,frac}]print with all numbers having room for tot digits, with exactly frac digits to the right of the decimal point
NumberForm[expr,{tot,frac}]print with all numbers having at most tot digits, exactly frac of them to the right of the decimal point
Column[{expr1,expr2,}]print with the expri left aligned in a column

Controlling the alignment of numbers in output.

Whenever you print a collection of numbers in a column or some other definite arrangement, you typically need to be able to align the numbers in a definite way. Usually you want all the numbers to be set up so that the digit corresponding to a particular power of 10 always appears at the same position within the region used to print a number.

You can change the positions of digits in the printed form of a number by "padding" it in various ways. You can pad on the right, typically adding zeros somewhere after the decimal. Or you can pad on the left, typically inserting spaces in place of leading zeros.

This pads with spaces to make room for up to 7 digits in each integer:
Click for copyable input
This creates a column of integers:
Click for copyable input
This prints each number with room for a total of 7 digits, and with 4 digits to the right of the decimal point:
Click for copyable input
In NumberForm, the 7 specifies the maximum precision, but does not make the Wolfram Language pad with spaces:
Click for copyable input
If you set the option SignPadding->True, the Wolfram Language will insert leading spaces after the sign:
Click for copyable input
Only the mantissa portion is aligned when scientific notation is used:
Click for copyable input

With the default setting for the option NumberPadding, both NumberForm and PaddedForm insert trailing zeros when they pad a number on the right. You can use spaces for padding on both the left and the right by setting NumberPadding->{" "," "}.

This uses spaces instead of zeros for padding on the right:
Click for copyable input
BaseForm[expr,b]print with all numbers given in base b

Printing numbers in other bases.

This prints a number in base 2:
Click for copyable input
In bases higher than 10, letters are used for the extra digits:
Click for copyable input
BaseForm also works with approximate real numbers:
Click for copyable input
You can even use BaseForm for numbers printed in scientific notation:
Click for copyable input

"Digits in Numbers" discusses how to enter numbers in arbitrary bases, and also how to get lists of the digits in a number.