Math Worksheets Land

Math Worksheets For All Ages

Math Worksheets Land

Math Worksheets For All Ages

Home > Topics >

Order of Operations Worksheets

What are the Common Order of Math Operations? Operations consist of things like add, subtract, divide multiply, or even powered numbers however if you are given all of these within a single expression. Which one will you solve first? A standard method for remembering the order of operations is learning the abbreviation PEMDAS, which perfectly defines the order of operations. The full form of PEMDAS is Parentheses, Exponents, Multiplication, Division, Addition, and subtraction. You must keep in mind that if you do not obey the orders, you will get the wrong answer. Keep in mind the following tips when you are solving an expression that involves every operation. In Parentheses, you need to solve the expression within them. Now you must keep in mind that different types of brackets have different priorities. The round brackets need to be addressed first, then curly brackets and finally the square brackets. Multiplication and Division should get solved from left to right. Addition and Subtraction need to get solved from left to right as well. We use the acronomy PEMDAS to tackle all of these worksheets some will take you a minute others will take you a lot of time.

Tips for Solving These Types of Problems


As with any strategy in math there are instances where it they either do not work or do not apply. These types of rules are very deceptive and can really complicate your life. If you pay attention to when PEMDAS goes a little off the rails, your life with be super easy. The only time you really need to worry is when division and multiplication are found in the same equation. Students may instinctively complete the multiplication operation before division, but since both operations are considered to be on the same level, when presented with a problem like this it is processed as you would read it from right to left. This even confuses trained adults that forget this same thing. Not only that but check most online math calculators that can process multiple operators at the same time. They often neglect this simple rule. Our poor editors are constantly getting emails telling them that their answer keys are incorrect for our four step problems, but every time it is some one who either did not know that this rule even existed or forgot about it. We also find another common speed bump on this topic is the over reliance on mental math. When you are processing calculations that have four or even five steps, it is hard to keep track without writing something out to track it.

2 Step Example

Problem: 4 + 8 x 2 =

Solution: We revert to look at the acronym PEMDAS. Multiplication comes before addition, so the answer here can be better illustrated as: 4 + (8 x 2) =. Following this out further 4 + 16 = 20.

3 Step Example

Problem: 2 x 8 – 12 ÷ 4 =

Solution: Looking at our original thought process (PEMDAS). We have division, followed by multiplication, and then subtract to finish it off. So it would look like this:

Division: 2 x 8 – 3 =

Multiplication: 16 – 3

Subtraction = 13.

4 Step Example

Problem: 19 x 4 + 192 ÷ 43

Solution: This may look like only 3 operators are present, but we need to begin with the exponent, then multiply, then divide, and finally the addition portion. Here is a breakdown of that:

Exponent: 19 x 4 + 192 ÷ 64

Multiply: 76 + 192 ÷ 64

Divide: 76 + 3

Add: 79

Unlock all the answers, worksheets, homework, tests and more!
Save Tons of Time! Make My Life Easier Now

Thanks and Don't Forget To Tell Your Friends!

I would appreciate everyone letting me know if you find any errors. I'm getting a little older these days and my eyes are going. Please contact me, to let me know. I'll fix it ASAP.