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Math Tutorial 1.4 - Order of Operations and PEMDAS Rule

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There are 8 lessons in this math tutorial covering Order of Operations and PEMDAS Rule. The tutorial starts with an introduction to Order of Operations and PEMDAS Rule and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Order of Operations and PEMDAS Rule. you can access all the lessons from this tutorial below.


In this Math tutorial, you will learn:

  • What is the order of operations in arithmetic expressions that contain only additions and divisions?
  • What are the order of operations in arithmetic expressions that contain only multiplications and divisions.
  • What are the order of priority in expressions containing powers and the four basic operations?
  • How do brackets affect the order of priority of arithmetic operations?
  • What is the PEMDAS Rule?
  • What is the order of priority in expressions containing various types of brackets?
  • What is the sign of result in operations with negative numbers?
  • How do you calculate the result of powers of negative numbers?

Introduction

Arithmetic expressions usually contain more than one operation; yet most of them contain all five basic operations (including raising in power). Therefore, we must know where to start when solving them as not all operations have the same order of priority.

In this tutorial, we will explain how to find the value of mathematical expressions, from the shortest to the longest and most complicated. This guide therefore, will be a good base for future topics that include mathematical operations such as equations, inequalities, etc.

Please select a specific "Order of Operations and PEMDAS Rule" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
1.4Order of Operations and PEMDAS Rule
Lesson IDMath Lesson TitleLessonVideo
Lesson
1.4.1Order of Operation in Arithmetic Expressions Containing Only Addition and Subtraction
1.4.2Order of Operation in Arithmetic Expressions Containing Only Multiplications and Division
1.4.3Expressions Containing Additions, Subtractions, Multiplications and Divisions
1.4.4Expressions Containing Exponents
1.4.5Expressions Containing Brackets. PEMDAS Rule
1.4.6Types of Parenthesis and Their Order of Priority
1.4.7Working with Negative Numbers
1.4.8Powers of Negative Numbers

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  3. Arithmetic Revision Notes: Order of Operations and PEMDAS Rule. Print the notes so you can revise the key points covered in the math tutorial for Order of Operations and PEMDAS Rule
  4. Arithmetic Practice Questions: Order of Operations and PEMDAS Rule. Test and improve your knowledge of Order of Operations and PEMDAS Rule with example questins and answers
  5. Check your calculations for Arithmetic questions with our excellent Arithmetic calculators which contain full equations and calculations clearly displayed line by line. See the Arithmetic Calculators by iCalculator™ below.
  6. Continuing learning arithmetic - read our next math tutorial: Multiples, Factors, Prime Numbers and Prime Factorization

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