Numerical expressions are math phrases that use numbers and operation symbols, but they do not have an equal sign. They show how to calculate a value using operations such as addition, subtraction, multiplication, or division.
A numerical expression does not have an answer written out—it only shows the operations needed to find the answer.
When you write a numerical expression with two operations, you use two different math operations in the same expression. Parentheses may be used to show which operation should be done first.
Use parentheses to make your meaning clear. Without them, the order of operations changes the result.
The order of operations tells us the correct sequence to follow when solving a numerical expression. The steps can be remembered by the rule: parentheses first, then multiplication or division, and finally addition or subtraction.
Always complete multiplication or division before addition or subtraction—unless parentheses tell you otherwise.
Sometimes math problems use words instead of symbols. You can translate word phrases into numerical expressions using the correct operations and order.
Read carefully—words like “sum,” “difference,” “product,” and “quotient” tell you which operation to use.
After writing an expression, check that it matches the meaning of the problem. Make sure you have used the right operations and that the parentheses show the correct order of steps.
If you solve your expression and it does not make sense, review your operations and parentheses placement.