PEMDAS Rule Explained – How Does PEMDAS Work?

Unlike other subjects,  Mathematics is more about accuracy and less about flexibility. One cannot possibly take a chance with the numerals if they are not sure about the answer. Also, there is not a lot of guesswork possible in Mathematics if you know the answer, you know, and if you don’t, you can’t possibly do the guesswork. There are many guidelines or rules in Mathematics; one such rule is the PEMDAS rule, which we will be studying today.

Let us go back to the need for PEMDAS. When an equation was solved, there were different answers for the same equations, which led to confusion. In order to solve this problem, a set of rules was created in the 1500s, which was referred to as the “Order of operations.” The operations are subtraction, multiplication, divisions, grouping, exponentiation, etc. This rule gave a proper order which needs to be followed while solving an equation. A component of this rule is  a technique which is known as PEMDAS. This technique avoids confusion and helps students solve different types of problems without any confusion. Although in order to master this technique, students need to practice problems regularly with the help of worksheets for math. Once you get used to this technique, solving equations becomes fun and easy.

In this blog, we will explore what PEMDAS is and how it is used in Mathematics. We will also go through various rules of PEMDAS in detail. Let us dive into the topic now.

What is PEMDAS?

PEMDAS stands for “Parentheses, Exponents, Multiplication, and Division, and Addition and Subtraction.” The listing of words in PEMDAS tells us the order of operations. It is a set of rules in which the order of calculation is prioritized in order to avoid confusion and get multiple answers to a particular question or equation.

PEMDAS Stands for:

  • P – Parentheses  [{()}]
  • E – Exponents (Powers and Roots)
  • MD – Multiplication and Division (left to right) (× and ÷)
  • AS – Addition  and Subtraction (left to right) (+ and -)

Rules for PEMDAS

Now, we are aware that PEMDAS is an acronym that reminds us of the order of operations. PEMDAS tells us a way of solving an equation by giving us a set of rules. In order to solve an equation, first, we need to simplify them in a predetermined way that is given via the acronym PEMDAS.  Following are the steps you need to follow :

  • Parentheses: This step means that you need to solve anything which is in the parenthesis. I.e., all the equations under the bracket must be simplified.
  • Exponents: The next step is to simplify the exponents, i.e., square root or cube roots in the expression. This should be done once you have followed the above step of Parentheses.
  • Multiplication and Division: After simplifying parentheses and exponents, the next step is to solve multiplication and division in the order of left to right.
  • Addition and Subtraction: After you have completed all the above steps in sequence, i.e., parentheses, exponents, multiplication, and division, it’s time to deal with addition and subtraction from left to right.
  • The steps are not over yet; you might still be confused if you don’t have elements like exponents or parentheses in any of your equations. Do not worry; you can leave that step and move to the next one.

I hope that was fun and simple. You can explore PEMDAS in an interesting and fun way with the help of Cuemath, which is an online learning platform. The visual tools by Cuemath can create an engaging learning experience and strengthen core concepts. If you have doubts regarding this topic, feel free to write in the comments. Happy Learning!

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