Order of Operations

In every walk of life we are met with a set of orders or patterns without which everything falls apart. Just like when we get up in the morning we brush our teeth, finish our morning ablutions, eat breakfast, pack our stuff and leave for school. We cannot afford to mess the order because then it gets absurd.

In the same way in Mathematics a principle for order of operations is followed.Operations means to add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.

But if we came across: 3 + (8 × 32 + 9) how should we calculate?

  • Will left to right solution get us the answer?
  • Will right to left lead to the right answer?
  • Will solving the exponents first and then the rest get us to the end?

All across the globe mathematicians were completely confused with the respected results.

Hence, they came up with a conclusion to follow an order to operate a set of parameters.

Order of operations

The order of operations is the order which is followed to add, subtract, multiply or divide to solve a problem in mathematics.

Order of operations is the method which operations should be performed in a particular order. It gives us a procedure as to which operations to do first.

To remember the conventional order of operations, you can think of –

PEMDAS (“Please excuse my dear Aunt Sally” is an easy way to memorize this)


  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This means that first we should do what data is within parentheses, then exponents,  followed by multiplication and division always from left to right), and then addition and subtraction (from left to right). If parentheses are within other parentheses, solve it from the inside out.

Coming back to the above example and why is it necessary to follow the order PEDMAS.




Now try to answer the following:

  1. 29 – 23 × 0 ÷ 1
  2. 65 ÷ 5 × 7 × 3
  3. 19 – 12 + 4 × 3
  4. 4 × 4 ÷ 1 + 9
  5. 20 – 10 × 3 ÷ 1
Answer key
  1. 0
  2. 273
  3. 19
  4. 25
  5. 30

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?

© 2020 eTutorWorld - Online Tutoring and Test Prep | All rights reserved

Stay Safe, Learn at Home from Personalized Online Tutors


Use Coupon

SAFE10 to save 10% on Learning Packs *

TEST20 to save 20% on Test Prep Worksheets


* Max. discount for learning packs is $50

You have Successfully Subscribed!