Your students will use these worksheets to review how to apply the proper order of operations for equations containing multiple operators. Students should already be familiar with the order of operations. These sets of worksheets contain all step by step introductory material, simple exercises, longer assignments, reviews, and quizzes. Answer keys have been provided for the sets for instructors. Each set consists of multiple pages, so be sure that you have printed all of them. When you run into a problem that contains multiple operations in the same mathematical statement, we have to follow a consistent order in which we process each operation. It will almost always change the final outcome based on if you process the sum, difference, product, or quotient first or last. For example, if you were confronted with the problem: 3 + 6 * 4 ÷ 2
If you were to process the operations in order (addition, multiplication, and finally division) you answer would be 18. If you were to go right to left (division, multiplication, and finally addition) you would end up with an answer of 15. If you were to use basic PEMDAS we would process (multiplication first, division second, and end with addition) our final answer would be 15 as well. Please note that in terms of PEMDAS multiplication and division are at the same level so in the example we would process the mix of multiplication and division left to right. We can easily see that these facts can become very confusing for young learners. These worksheets cover how to apply the proper order of operations for equations containing multiple operators. Sample problems are solved and practice problems are provided.