Order of Operations Worksheets
The printable order of operations worksheets below will get you mastering your PEMDAS skills in no time! They start with simple problems that deal only with the order of operations problems related to the basic addition, subtraction, multiplication and division rules, but later worksheets deal with order of operations involving all of the PEMDAS rules. If you work through these worksheets, your students will have complete mastery of order of operations and be ready for harder algebra equations where order of operations mastery is a necessity!
Order of Operations (PEMDAS)
The order of operations are set of conventions used in math to decide what order operations need to be evaluated in to consistently get to the answer to a problem. These are also called precedence rules, and the occur in math problems as well as computer programming languages. Students make errors related to order of operations because we train them to read left-to-right, and a natural tendency is simply to evaluate a math program the same way. Left-to-right processing of a mathematical expression is the short road to whatever you get when you divide by zero. Just call it bad.
Instead, check with dear Aunt Sally. PEMDAS is a mnemonic tool used to help remember what operations to perform in what order. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We can remember this ordering with the phrase, 'Please excuse my dear Aunt Sally.' By remembering this phrase, we know the order to evaluate terms in an expression. Anything inside parentheses is always evaluated first, even if it contains operations that are of lower precendence. Always work from the 'inside out' when dealing with expressions that have parentheses. Within a set of parathenses, the same rules for order of operations apply, so look for other parenthees and similarlly follow all the other rules below.Next, consider any terms that have exponents. The exponent is something that you might consider strongly attached to a term in an expression, much like a sign on a number. Following this, consider any multiplication or division operations. These operations are of equal precedence, so they can be evaluated in any order themselves. The same is true of the next set of operations, addition and subtraction. They can be evaluated in any order as long as you've done all of the preceding operations completely.
Order of operations problems are typically introduced around 5th grade or 6th grade, epending on student ability. Practice with these PEMDAS worksheets will help kids prepare for algebra and other more complex math subjects that come along with middle school grades.
The order of operations worksheets in this section provide plenty of practice, and they gradually introduce each step in the PEMDAS mnemonic. If you work your way through all of them, you'll be an order of operations expert in no time. Aunt Sally would be proud.