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How to Learn Rational Numbers in an Interesting Way
Tuesday, 06 April 2021

What is a Rational Number?

A rational number, in arithmetic, can be explained as any number which can be expressed in the form of p/q where q ≠ 0. We can also state that any fraction that fits under the classification of rational numbers, where the denominator and numerator are integers and the denominator is not equal to zero, are known as Rational numbers. When the rational number is divided, the answer will be in decimal form, which may be either terminating decimal or the recurring decimal.

How to identify rational numbers?

To identify if a number is rational or not, examine the following conditions.
  • It is expressed in the form of p/q, where q≠0.
  • The ratio p/q can be further explained and expressed in decimal form.
The set of rational numerals:
1. It includes positive, negative numbers, and zero
2. They can be expressed as fractions

Standard Form of Rational Numbers

The standard form of a rational number can be determined if it’s no common factors apart from one within the dividend and divisor, and therefore the divisor is positive.
For instance, 12/36 is a rational number. But it can be explained as 1/3, common factors within the divisor and dividend are only one. So we can assume that rational number ? is in its standard form.

Positive and Negative Rational Numbers

As we understand that the rational number is in the order of p/q, where p and q are integers. Also, q should be a non-zero number integer. The rational number can be either positive or negative in nature. If the rational number is positive, both p and q are then positive integers. If the rational number takes the form -(p/q), then either p or q is of negative value.

Rational Numbers Properties

Some of the essential properties of rational numbers are as follows:
  • A result is always a rational number if we multiply, add, or subtract any two given rational numbers.
  • A rational number remains equal if we divide or multiply both the numerator and denominator with the equivalent factor.
  • If we add zero to any rational number, then it will give the same number itself.
  • Rational numbers are tied to addition, subtraction, and multiplication.

How to Learn Rational Numbers in an Interesting Way

1. Practice makes perfect

Rationals numbers are, although a very easy and simple concept, it needs regular practice. In order to master the topic of Rational numbers, students will have to keep solving problems and equations on a regular basis. Students can practice a variety of questions from grade 7 math worksheets by Cuemath. Cuemath is one of the most amazing online learning platforms. These worksheets are interactive and super fun to solve. Also, these worksheets have visuals and also help students develop their logical and reasoning skills.

2.Understand the basics

It is very important for students to understand the basics and the concept of rational numbers. Rational numbers will build a solid foundation for mathematics and will prep the students for advanced math as well. To master any topic, one needs to understand the basic properties and rules of rational numbers.

3. Online worksheets and courses

Students can take extra help from the internet as well. The Internet offers a wide range of courses and assistance online. Students can take the help of online prepared worksheets and test themselves. This will show them their mistakes and will improve their academic scores. Online worksheets give the students the regular practice they need. They also have answer keys and tips, and tricks to make the concept of rational numbers easier.

4. Solve your doubts

The students should understand that it is okay to make mistakes and ask for help. This will help them while solving and applying rational numbers. The doubts will help them to understand complex operations and will make them confident as well.


Rational numbers are a very vital and fundamental topic in mathematics. Rational numbers will help students to think and reason logically as well as rationally.
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