## PEMDAS with Fractions, Decimals, Exponents

#### Aligned To Common Core Standard:

**Grade 5/6 Operations** - 5.OAT.1, 6.EE.1

When Does PEMDAS Confuse Students? Once children have mastered four basic mathematical operations, they move on to learning advanced mathematical concepts. One of the firsts advanced mathematical concepts that they encounter is of PEMDAS. PEMDAS or BODMAS is a universally accepted concept for solving mathematical problems with more than one mathematical operation. The acronym PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. When applying PEMDAS to any problem, we look for parentheses and solve them first. Next, we solve for exponents, multiplication and division come next, and addition and subtraction are solved last. However, this widely accepted concept sometimes stirs confusion among students. Most confusion arises when solving for the four basic operations. Students find it difficult to figure out whether to apply division first or multiplication. Both the operations are given the same priority, but the solution should be carried out in left to right order. The same applies to addition and subtraction. These two are also given the same priority and need to be solved in the right to left order. Unfortunately, the concept is not taught in the right way, which leaves students confused. Students tend to solve all the division before multiplication, and all addition is solved before subtraction. These worksheets and lessons teach students how to power through the order of operations regardless of the values that are present and their form.

### Printable Worksheets And Lessons

- PEMDAS with Fractions Lesson- Many students lose their minds when they see operations and fractions in the same place.
- PEMDAS with Decimals Lesson - Decimals don't seem to scare as many people.
- Nested Tables Worksheet 1 - There are parentheses everywhere.
- Order of Operations with Fractions and Exponents - Make sure to cover exponents before you go here.
- Quick Operations - The focus here is on a mix of skills.
- The Closer- Look very carefully at this one and note where the parentheses are.

#### Homework Sheets

It does make a difference whether you are solving an expression or an equation.

- Homework 1 - We realize right away that this is an order of operations problem.
- Homework 2 - Reduce Fraction to Lowest Terms.
- Homework 3 - The order is key here.
- Homework 4 - Solve. Round number to hundredth.

#### Practice Worksheets

You can do some really heavy lifting here.

- Practice 1 - This is where it gets tough.
- Practice 2 - We have to remember that when we are deciding between processing a division operation and a multiplication operation, we always process these operations left to right.
- Practice 3 - The M and D are equal, so you go left to right.
- Practice 4 - The last practice worksheet for you.