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Numerical Expression: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Numerical ExpressionNumerical Expression: Definition and ExampleTable of ContentsDefinition of Numerical Expression

A numerical expression is a mathematical phrase that combines numbers using various operations. It consists of numbers and integers connected by mathematical operators such as addition, subtraction, multiplication, and division. The term itself comes from the words "numerical," referring to numbers, and "expression," meaning phrase—together forming a mathematical statement involving numbers without an equals sign.

Numerical expressions can vary in complexity, ranging from simple combinations using a single operator between two numbers to more complex expressions incorporating multiple operations. There is no limit to the number of operators a numerical expression may contain. Examples include basic forms like "10 + 5" or more intricate combinations such as "72 ÷ 8 × 5 - 4 + 1." Powers and exponents are also considered numerical expressions, allowing for the representation of repeated multiplication in a compact form.

Examples of Numerical Expression Example 1: Chocolate Bar Problem Problem:

Candice has 10 chocolate bars. She gives 3 to her sister, 1 to her friend, and eats 2 of them. Later she visits her grandmother, who offers Candice 12 more chocolate bars. How many chocolate bars does Candice have now?

Step-by-step solution:

Step 1, identify all the quantities in the problem:

Starting amount: 10 chocolate bars Given to sister: 3 bars Given to friend: 1 bar Eaten by Candice: 2 bars Received from grandmother: 12 bars

Step 2, determine the operations needed:

When Candice gives away or eats chocolate bars, we subtract When Candice receives more chocolate bars, we add

Step 3, form the numerical expression: 10 - 3 - 1 - 2 + 12

Step 4, solve the expression step by step:

10 - 3 - 1 - 2 + 12 = 7 - 1 - 2 + 12 = 6 - 2 + 12 = 4 + 12 = 16

Therefore, Candice now has 16 chocolate bars.

Example 2: Basic Numerical Expressions Problem:

Evaluate the numerical expression: 60 × 5 + 10

Step-by-step solution:

Step 1, recall the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Step 2, since there are no parentheses or exponents, we start with multiplication: 60 × 5 = 300

Step 3, perform the addition: 300 + 10 = 310

Therefore, the value of the expression 60 × 5 + 10 is 310.

Example 3: Multi-Operation Expression Problem:

Evaluate the numerical expression: 72 ÷ 8 × 5 - 4 + 1

Step-by-step solution:

Step 1, follow the order of operations. Since multiplication and division have the same precedence, work from left to right: 72 ÷ 8 = 9

Step 2, continue with multiplication: 9 × 5 = 45

Step 3, perform subtraction: 45 - 4 = 41

Step 4, complete the addition: 41 + 1 = 42

Therefore, the value of the expression 72 ÷ 8 × 5 - 4 + 1 is 42.

Comments(8)SSculptorCaraNovember 5, 2025This glossary page on numerical expressions is great! It's helped my students grasp the concept easily. Thanks for the clear def and examples!

FFurnitureDesignerAliceNovember 4, 2025This glossary page was super helpful! I've used the numerical expression def to explain it to my students. Clear and easy to follow.

MCMs. CarterSeptember 17, 2025I’ve been using this site to help my kids with math, and the numerical expression definition made things so much easier to explain! The examples are super clear too—great resource for learning!

MCMs. CarterSeptember 10, 2025I’ve used the numerical expression examples from this site to help my kids with their math homework. It’s super clear and easy to follow—really helps break things down step by step!

NNatureLover85August 27, 2025This glossary page was super helpful! I used the numerical expression examples to help my kids practice math at home, and they finally got the hang of it. Really clear and easy to follow!

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