How to code arithmetic expressions
Figure 3-6 shows how to code arithmetic expressions. To start, it summarizes the five arithmetic operators you can use in this type of expression. Then, it presents three examples that illustrate how you use these operators.
The SELECT statement in the first example includes an arithmetic expression that calculates the balance due for an invoice. This expression subtracts the PaymentTotal and CreditTotal columns from the InvoiceTotal column. The resulting column is given the name BalanceDue.
When SQL Server evaluates an arithmetic expression, it performs the operations from left to right based on the order of precedence. This order says that multiplication, division, and modulo operations are done first, followed by addition and subtraction. If that's not what you want, you can use parentheses to specify how you want an expression evaluated. Then, the expressions in the innermost sets of parentheses are evaluated first, followed by the expressions in outer sets of parentheses. Within each set of parentheses, the expression is evaluated from left to right in the order of precedence. Of course, you can also use parentheses to clarify an expression even if they're not needed for the expression to be evaluated properly.
To illustrate how parentheses and the order of precedence affect the evaluation of an expression, consider the second example in this figure. Here, the expressions in the second and third columns both use the same operators. When SQL Server evaluates the expression in the second column, it performs the multiplication operation before the addition operation because multiplication comes before addition in the order of precedence. When SQL Server evaluates the expression in the third column, however, it performs the addition operation first because it's enclosed in parentheses. As you can see in the result set shown here, these two expressions result in different values.
Although you're probably familiar with the addition, subtraction, multiplication, and division operators, you may not be familiar with the modulo operator. This operator returns the remainder of a division of two integers. This is illustrated in the third example in this figure. Here, the second column contains an expression that returns the quotient of a division operation. Note that the result of the division of two integers is always an integer. You'll learn more about that in chapter 8. The third column contains an expression that returns the remainder of the division operation. If you study this example for a minute, you should quickly see how this works.
The arithmetic operators in order of precedence
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A SELECT statement that calculates the balance due
SELECT InvoiceTotal, PaymentTotal, CreditTotal,InvoiceTotal - PaymentTotal - CreditTotal AS BalanceDueFROM Invoices
A SELECT statement that uses parentheses to control the sequence of operations
SELECT InvoiceID,InvoiceID + 7 * 3 AS OrderOfPrecedence,(InvoiceID + 7) * 3 AS AddFirstFROM InvoicesORDER BY InvoiceID
A SELECT statement that uses the modulo operator
SELECT InvoiceID,InvoiceID / 10 AS Quotient,InvoiceID % 10 AS RemainderFROM InvoicesORDER BY InvoiceID
Description
Figure 3-6 How to code arithmetic expressions