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## Math : Fractions – How to Add, Subtract, Multiply, and Divide Fractions

Fractions (like Percentages and Decimals) are always present in the Numerical Aptitude section of the Civil Service Exam so better be acquainted with the basics of it before you take the test.

What is a FRACTION? A fraction is simply a part of a whole number. It is also a number you get from dividing one whole number by another.

### HOW TO PERFORM THE BASIC MATH OPERATIONS ON FRACTIONS

## Math : Operations on Positive and Negative Integers

The Civil Service Exam includes questions on integers. There may be questions involving integers as well as a flow chart which makes use of integers (more on that flow chart thing next time). Let’s start with the basics first.

**Integers** are zero plus all the positive and negative whole numbers (0, 345, -678, 43, -26, etc.). They can be represented on a number line with zero in the middle. To the left are all the negative integers and to the right are all the positive integers. Remember that integers do not have a fractional part. (more…)

## Practice Exercises: Operations on Integers

The Civil Service Exam will include questions involving integers – from basic math calculations to number flow charts. That being said, you have to be familiar with what integers are and how to add, subtract, multiply, and/or divide them. You have to know the rules that govern operations involving positive and negative integers. To know more about these rules, check our post: **How to Add, Subtract, Multiply and Divide Positive and Negative Integers**

Whenever you’re ready, get back to this page and start your Practice Test. **Remember to include the sign (positive or negative) on your answer. **Correct Answers are shown at the end of the quiz, after you’ve submitted all your answers.

## Basic Math : What is PEMDAS ?

**PEMDAS** (or what others remember as Please Excuse My Dear Aunt Sally) is simply an acronym which stands for ‘Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction’. If you have a number sentence with two or more operations, the order of the letters in PEMDAS tells you how to go about these operations. It tells you what to calculate first, second, third and so on, until everything is done.

PEMDAS serves as a guideline so all of us can obtain only one correct answer in a math expression. Without PEMDAS, we can end up having two or more different answers to a single equation.

For example, 5 + 4 x 3 = ?

**WITHOUT PEMDAS,**

- We can do the addition first and get: 9 x 3 = 27
- or we can do the multiplication first and get 5 + 12 = 17

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