Numerical expressions are math phrases that use numbers and operation symbols (like +, −, ×, ÷) but do not include an equal sign (=). They show a calculation to be performed, not a completed statement.
Think of a numerical expression as a way to represent a situation using numbers and one operation, but without solving it yet.
To write a numerical expression, read the situation carefully and decide which operation describes what is happening. Then write the numbers and the correct operation symbol to represent it.
Each word problem tells a story about a math operation. Words like “total” or “in all” suggest addition, while “each” or “per” often suggest multiplication.
Recognizing clue words helps you choose the correct operation when writing a numerical expression from a situation.
Clue words guide you, but always make sure the expression matches what the situation describes.
Here are some examples showing how to translate real-world situations into numerical expressions using one operation.
Each expression shows one operation that represents the situation without solving it. Writing the correct expression is the first step before finding the answer.
After writing an expression, reread the situation to be sure your operation and numbers match what is described.
Always double-check if your expression makes sense for the situation. Visualizing or drawing a quick picture can help.