Browse Tag: operations on real numbers

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.


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.  Continue Reading

A Review on Operations on Real Numbers

We had just finished discussing the different operations on integers: addition, subtraction, multiplication and division. Since you are already familiar with these operations on integers, the operations on real numbers (integers, decimals, and fractions) will be very easy for you because the process is just the same. For example, positive a real number 0.4 is multiplied by a negative real number 0.1, the result is negative just like multiplying positive and negative integers. 

Below are worked examples on the operations on real numbers. I made the examples easy so that you can recognize the pattern even if you forgot the rules on operating with decimals and fractions. Do not worry though if you have forgotten the rules because I will have separate posts about them. For now, try to solve and by compare your answer with the calculated results below. Continue Reading