PCSR REVIEW SERIES WEEK 5: Operations on Integers and PEMDAS

Below are the articles and videos that you should read and watch about operations on integers, order of operations, and PEMDAS. Exercises and problems will be posted soon.

PART 1: OPERATIONS ON INTEGERS

Articles

  1. How to Add Positive and Negative Integers
  2. How to Subtract Positive and Negative Integers
  3. How to Multiply Positive and Negative Integers
  4. How to Divide Positive and Negative Integers

Videos

  1. How to Add Integers Using the Number Line Part 1
  2. How to Add Integers Using the Number Line Part 2
  3. Addition of Integers Using Chips
  4. How to Subtract Integers Using the Number Line (Part 1)
  5. How to Subtract Integers Using the Number Line (Part 2)
  6. Subtraction of Integers Worked Examples Part 1
  7. Subtraction of Integers Worked Examples Part 2
  8. Subtraction of Integers Using Chips
  9. Addition and Subtraction of Integers Worked Examples
  10. Introduction to Multiplication of Integers
  11. Multiplication of Integers Worked Examples
  12. Division of Integers
  13. Division of Integers Worked Examples

PART 2: PEMDAS

Articles

Videos

  1. PEMDAS Order of Operations Part 1
  2. PEMDAS Order of Operations Part 2
  3. PEMDAS Order of Operations Part 3

More video

Introduction to PEMDAS

PEMDAS Rules Practice 1 Solutions

Below are the solutions and answers to the problems in PEMDAS Rules Practice 1. Notice that I have color coded the solution to guide you which operation results to which answer. I have also varied the notations like / and ÷ to familiarize you with both of them. In addition, I have also included operations on fractions with expressions in the numerator and the denominator. In a fraction whose numerator and/or denominator contains one or more operations , you have to simplify first both the numerator and the denominator before dividing. The methods in calculating fractions are shown in numbers 7, 9 and 10.

» Read more

PEMDAS Rules and Operations on Real Numbers

Now that you have already learned the four fundamental operations on real numbersaddition, subtraction, multiplication, division – it is time to combine these operations into a single problem. In the Philippine Civil Service Examination, most of the problems on operations on real numbers have at least two or more operations involved.  If you can recall, we call these operations MDAS in the elementary grades and later and PE making it PEMDAS. PEMDAS is the acronym for Parenthesis, Exponent, Multiplication, Division, Addition and Subtraction. This is basically the order of operations when you calculate an arithmetic problem involving two or more operations.

PEMDAS RULES

Calculate in the following order.

  1. the expressions inside the Parentheses.
  2. the expression with Exponents.
  3. If no operation separates Multiplication and Division, perform from left hand side to right whichever comes first.
  4. If no operation separates Addition and Subtraction, perform from left hand side to right whichever comes first.  » Read more
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