MDAS: Order of Operations
MDAS stands for Multiplication, Division, Addition, and Subtraction — the correct order to solve math expressions with multiple operations.
MDAS Rule
× and ÷ first (left → right), then + and − (left → right)
When × and ÷ appear together, solve left to right. Same rule applies to + and −.
Concept Explanation
When a math problem has more than one operation (like + − × ÷), you cannot just solve from left to right. You must follow a specific order called MDAS.
Step 1 — Multiplication and Division: Always do these first, working from left to right across the expression. If both appear, handle whichever comes first as you read left to right.
Step 2 — Addition and Subtraction: After all multiplication and division are done, handle addition and subtraction, again working from left to right.
A helpful way to remember: "My Dear Aunt Sally" — Multiplication, Division, Addition, Subtraction. Always check your work by re-reading the original problem after you finish.
Worked Examples
Write the expression
3 × 4 + 2
Multiply first (M before A)
3 × 4 = 12 → 12 + 2
Now add
12 + 2 = 14
Answer: 14
Key Terms
Multiplication (×)
Repeated addition. Example: 3 × 4 means 4 added 3 times = 12.
Division (÷)
Splitting into equal groups. Example: 12 ÷ 4 = 3 groups of 3.
Addition (+)
Combining two or more numbers to get a total.
Subtraction (−)
Finding the difference between two numbers.
Expression
A math phrase with numbers and operations but no equals sign.
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MDAS: Order of Operations