Rational Numbers

Home | Online Math Tutoring | Pre-Algebra Tutoring | Ordering of Rational Numbers

rational number is one that is a part of a whole denoted as a fraction, decimal or a percentage. It is a number which cannot be expressed as a fraction of two integers (or we can say that it cannot be expressed as a ratio).


For instance, let’s consider the square root of 3. It is irrational and cannot be expressed by two integers.

It is an irrational number because it cannot be denoted as a fraction with just two integers.

rational numbers

Integers and Rational numbers

They are the numbers you usually count and they will continue upto infinity.

Whole numbers are all natural numbers including 0.

Example: 0, 1, 2, 3, 4…

Integers are all whole numbers and their negative sides too.

Example….. -6,-5,-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6…

Every integer is a rational number, as each integer n can be written in the form \frac{n}{1}.

For example 5 =\frac{5}{1}  and so 5 is a rational number. However, numbers like \frac{1}{2} ,\frac{2}{3},\frac{3}{4},\frac{73738765}{1234782}, and – \frac{6}{9}  are also rational; since they are fractions whose numerator and denominator are integers.

rational irrational numbers



  1. Arrange the following integers in the ascending order:
  1.  -17, 1, 0, -15, 16,8, 33, 6
  2. -44, -66, 0, 23, 41, 55, 15, 11, 10, -1, -2
  1. Identify whether the following is rational or irrational number.
  1. 0.5
  2. \sqrt{200}
  3. \sqrt{121}
  4. 9.0
  5. 5
Answer key
  1.  -17, -15, 0, 1, 6, 8, 16, 33
  2. -66, -44, -2, -1, 0, 10, 11, 15, 23, 41, 55.
  1.  Rational
  2. Irrational
  3. Rational
  4. Rational
  5. Rational

Download/Solve a Worksheet for Ordering of  Rational Numbers

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!