Welcome to the order of operations worksheets page at Math-Drills.com where we definitely follow orders! This page includes Order of Operations worksheets using whole numbers, decimals and fractions.
Elementary and middle school students generally use the acronyms PEMDAS or BEDMAS to help them remember the order in which they complete multi-operation questions. The 'P' or 'B' in the acronym stands for parentheses or brackets. All operations within brackets get completed first. The 'E' refers to any exponents; all exponents are calculated after the parentheses. The 'M' and 'D' are interchangeable as one completes the multiplication and division in the order that they appear from left to right. The fourth and final step is to solve for the addition and subtraction in the order that they appear from left to right.
More recently, students are being taught the acronym, PEMA, for order of operations, to avoid the confusion inherent in the other acronyms. For example, in PEMDAS, multiplication comes before division which some people incorrectly assumes means that multiplication must be done before division in an order of operations question. In fact, the two operations are completed in the order that they occur from left to right in the question. This is recognized in PEMA which more correctly shows that there are four levels to complete in an order of operations question.
Unless you want your students doing something different than the rest of the world, it would be a good idea to get them to understand these rules. There is no discovery or exploration needed here. These are rules that need to be learned and practiced and have been accepted as the standard approach to solving any multi-step mathematics problem.
Most Popular Order of Operations Worksheets this Week
Order of Operations with Whole Numbers Worksheets
Order of operations with whole numbers worksheets with a variety of complexity.
Order of operations with whole numbers
The answer keys for these order of operations worksheets show each step, so it is easy to diagnose where students might have gone wrong if they get a different answer. The answers can also be used to model how the questions should be completed and to familiarize students with the order of operations.
Order of operations with whole numbers (addition & multiplication only)
This is a good starting point where only addition and multiplication is involved (with a few parentheses thrown in). These worksheets will help students to recognize that multiplication is done before addition unless there are parentheses involved. It's always nice if you can think up a few examples to illustrate what some of these questions mean. For example, 2 + 7 × 3 could refer to the number of days in two days and three weeks. (9 + 2) × 15 could mean the total amount earned if someone worked 9 hours yesterday and 2 hours today for $15 an hour.
Order of operations with whole numbers (addition, subtraction & multiplication only)
Order of operations with whole numbers (no exponents)
Order of Operations with Integers Worksheets
Order of operations with integers worksheets with both negative and positive integers options and a variety of complexity.
Order of operations with integers
Order of operations with integers and no exponents
Order of Operations with Fractions Worksheets
Order of Operations with Fractions
As with other order of operation worksheets, the fractions order of operations worksheets require some pre-requisite knowledge. If your students struggle with these questions, it probably has more to do with their ability to work with fractions than the questions themselves. Observe closely and try to pin point exactly what pre-requisite knowledge is missing then spend some time going over those concepts/skills before proceeding. Otherwise, the worksheets below should have fairly straight-forward answers and shouldn't result in too much hair loss.
Order of Operations with Decimals Worksheets
Order of operations with decimals worksheets with both positive and negative decimals options and a variety of complexity.