What are the differences between numeric
, float
and decimal
datatypes and which should be used in which situations?
For any ki
Not a complete answer, but a useful link:
"I frequently do calculations against decimal values. In some cases casting decimal values to float ASAP, prior to any calculations, yields better accuracy. "
http://sqlblog.com/blogs/alexander_kuznetsov/archive/2008/12/20/for-better-precision-cast-decimals-before-calculations.aspx
use the float or real data types only if the precision provided by decimal (up to 38 digits) is insufficient
Approximate numeric data types do not store the exact values specified for many numbers; they store an extremely close approximation of the value.(Technet)
Avoid using float or real columns in WHERE clause search conditions, especially the = and <> operators (Technet)
so generally because the precision provided by decimal is [10E38 ~ 38 digits] if your number can fit in it, and smaller storage space (and maybe speed) of Float is not important and dealing with abnormal behaviors and issues of approximate numeric types are not acceptable, use Decimal generally.
more useful information
main source : MCTS Self-Paced Training Kit (Exam 70-433): Microsoft® SQL Server® 2008 Database Development - Chapter 3 - Tables , Data Types , and Declarative Data Integrity Lesson 1 - Choosing Data Types (Guidelines) - Page 93
Decimal and Numeric are the same functionally but there is still data type precedence, which can be crucial in some cases.
SELECT SQL_VARIANT_PROPERTY(CAST(1 AS NUMERIC) + CAST(1 AS DECIMAL),'basetype')
The resulting data type is numeric because it takes data type precedence.
Exhaustive list of data types by precedence:
Reference link
What it the underlying need?
It arises from the fact that, ultimately, computers represent, internally, numbers in binary format. That leads, inevitably, to rounding errors.
Consider this:
0.1 (decimal, or "base 10") = .00011001100110011... (binary, or "base 2")
The above ellipsis [...] means 'infinite'. If you look at it carefully, there is an infinite repeating pattern (='0011')
So, at some point the computer has to round that value. This leads to accumulation errors deriving from the repeated use of numbers that are inexactly stored.
Say that you want to store financial amounts (which are numbers that may have a fractional part). First of all, you cannot use integers obviously (integers don't have a fractional part).
From a purely mathematical point of view, the natural tendency would be to use a float
. But, in a computer, floats have the part of a number that is located after a decimal point - the "mantissa" - limited. That leads to rounding errors.
To overcome this, computers offer specific datatypes that limit the binary rounding error in computers for decimal numbers. These are the data type that
should absolutely be used to represent financial amounts. These data types typically go by the name of Decimal
. That's the case in C#, for example. Or, DECIMAL
in most databases.
Although the question didn't include the MONEY data type some people coming across this thread might be tempted to use the MONEY data type for financial calculations.
Be wary of the MONEY data type, it's of limited precision.
There is a lot of good information about it in the answers to this Stackoverflow question:
Should you choose the MONEY or DECIMAL(x,y) datatypes in SQL Server?
Float is Approximate-number data type, which means that not all values in the data type range can be represented exactly.
Decimal/Numeric is Fixed-Precision data type, which means that all the values in the data type range can be represented exactly with precision and scale. You can use decimal for money saving.
Converting from Decimal or Numeric to float can cause some loss of precision. For the Decimal or Numeric data types, SQL Server considers each specific combination of precision and scale as a different data type. DECIMAL(2,2) and DECIMAL(2,4) are different data types. This means that 11.22 and 11.2222 are different types though this is not the case for float. For FLOAT(6) 11.22 and 11.2222 are same data types.
You can also use money data type for saving money. This is native data type with 4 digit precision for money. Most experts prefers this data type for saving money.
Reference 1 2 3