Question

Define RATIONAL NUMBERS With examples.​

Answer 1

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

Answer 2

Answer:

In Maths, rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero denominators is a rational number. Hence, we can say that ‘0’ is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values. Also, check irrational numbers here and compare them with rational numerals.

In this article, we will learn about what is a rational number, the properties of rational numbers along with its types, the difference between rational and irrational numbers, and solved examples. It helps to understand the concepts in a better way. Also, learn the various rational number examples and learn how to find rational numbers in a better way. To represent rational numbers on a number line, we need to simplify and write in the decimal form first.

Let us see what topics we are going to cover here in this article.

Table of contents:

Definition

Types

Standard Form

Positive and Negative Rational Numbers

Arithmetic Operations

Multiplicative Inverse of Rational Number

Properties

Difference From Irrational Numbers

Finding Rational Numbers between Two Rational Numbers

Examples

What is a Rational Number?

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. Also, we can say that any fraction fits under the category of rational numbers, where the denominator and numerator are integers and the denominator is not equal to zero. When the rational number (i.e., fraction) is divided, the result will be in decimal form, which may be either terminating decimal or the repeating decimal.

How to identify rational numbers?

To identify if a number is rational or not, check the below conditions.

It is represented in the form of p/q, where q≠0.

The ratio p/q can be further simplified and represented in decimal form.

The set of rational numerals:

Include positive, negative numbers, and zero

Can be expressed as a fraction