Evaluate Numerical Expressions - Integers
Practice numerical expressions with interactive worksheets. Apply BODMAS, DMAS, and PEMDAS rules to solve integer-based problems and master order of operations.
A quick revision of numerical expression concepts before you start solving this self-correcting interactive worksheet.
What is a numerical expression?
A numerical expression is a mathematical statement that consists of numbers and arithmetic operations such as addition (+), subtraction (−), multiplication (✕), and division (÷). These expressions do not include variables and are evaluated based on specific rules of arithmetic.
Examples:
6 - (2 + 7) ✕ 12 ÷ 45 - 16 ÷ 8 ✕ [(2 + 6) + 7]{[10 + (5 + 6)] + 5} + 4 ✕ (90 ÷ 10) - (7 + 5)
How to evaluate a numerical expression?
To correctly evaluate a numerical expression, follow the order of operations. The standard rules used are DMAS, BODMAS or PEMDAS.
DMAS Rule
DMAS is a simplified version of BODMAS that applies when there are no brackets or exponents. It follows:
- Division & Multiplication (left to right)
- Addition & Subtraction (left to right)
BODMAS Rule
BODMAS stands for:
- Brackets – Innermost parentheses() first, then brackets[], and then braces{}
- Orders – Square roots, exponents or powers
- Division & Multiplication (left to right)
- Addition & Subtraction (left to right)
PEMDAS Rule
PEMDAS is widely used in the United States and stands for:
- Parentheses
- Exponents
- Multiplication & Division (left to right)
- Addition & Subtraction (left to right)
Key takeaways
Now, try solving the problems in this self-correcting interactive worksheet using DMAS/BODMAS/PEMDAS and check your answers.
- Always solve expressions inside brackets/parentheses first
- Multiplication & division come before addition & subtraction
- When operations have the same priority, solve from left to right
- Using these rules ensures you get the correct answer every time!