float and real (Transact-SQL)

**APPLIES TO:** ![yes](media/yes.png)SQL Server (starting with 2008) ![yes](media/yes.png)Azure SQL Database ![yes](media/yes.png)Azure SQL Data Warehouse ![yes](media/yes.png)Parallel Data Warehouse

Approximate-number data types for use with floating point numeric data. Floating point data is approximate; therefore, not all values in the data type range can be represented exactly. The ISO synonym for real is float(24).

Topic link icon Transact-SQL Syntax Conventions

Syntax

float [ (_n_) ] Where n is the number of bits that are used to store the mantissa of the float number in scientific notation and, therefore, dictates the precision and storage size. If n is specified, it must be a value between 1 and 53. The default value of n is 53.

n value Precision Storage size
1-24 7 digits 4 bytes
25-53 15 digits 8 bytes

[!NOTE]
SQL Server treats n as one of two possible values. If 1<=n<=24, n is treated as 24. If 25<=n<=53, n is treated as 53.

The SQL Server float[(n)] data type complies with the ISO standard for all values of n from 1 through 53. The synonym for double precision is float(53).

Remarks

Data type Range Storage
float - 1.79E+308 to -2.23E-308, 0 and 2.23E-308 to 1.79E+308 Depends on the value of n
real - 3.40E + 38 to -1.18E - 38, 0 and 1.18E - 38 to 3.40E + 38 4 Bytes

Converting float and real data

Values of float are truncated when they are converted to any integer type.

When you want to convert from float or real to character data, using the STR string function is usually more useful than CAST( ). This is because STR enables more control over formatting. For more information, see STR (Transact-SQL) and Functions (Transact-SQL).

Conversion of float values that use scientific notation to decimal or numeric is restricted to values of precision 17 digits only. Any value < 5E-18 rounds down to 0.

See also

ALTER TABLE (Transact-SQL)
CAST and CONVERT (Transact-SQL)
CREATE TABLE (Transact-SQL)
Data Type Conversion (Database Engine)
Data Types (Transact-SQL)
[DECLARE @local_variable &#40;Transact-SQL&#41;](../../t-sql/language-elements/declare-local-variable-transact-sql.md)
[SET @local_variable &#40;Transact-SQL&#41;](../../t-sql/language-elements/set-local-variable-transact-sql.md)