Mixed operations use more than one arithmetic operation—addition, subtraction, multiplication, and division—in a single expression or set of problems. Learning how these operations work together helps you solve real-world math problems accurately and efficiently.
Always follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division, then Addition and Subtraction.
Addition means joining or combining two or more numbers to find the total or sum.
Line up digits by their place values before adding. Regroup (carry over) when a column’s sum is 10 or more.
Subtraction means finding the difference between two numbers or determining how much one number is greater or less than another.
Check your subtraction by adding the difference to the smaller number. The result should equal the larger number.
Multiplication is repeated addition. It tells how many equal groups there are or how many items are in all.
Estimate first to check if your answer is reasonable. Always align numbers carefully and keep track of place values in multi-digit multiplication.
Division means separating a number into equal parts or groups. It tells how many times one number fits into another.
Use estimation and multiplication to check your division. The divisor × quotient + remainder should equal the dividend.
When a problem includes more than one operation, solve it step by step following the correct order of operations. Use parentheses to group parts of a problem that should be solved first.
Take your time to read the problem carefully. Writing each step helps prevent mistakes and shows your reasoning clearly.