In the RD Sharma Chapter 1 Class 9 Maths Solutions, we will explain the real numbers and their decimal expansions. The RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF is prepared by our experts, which helps students learn about the real numbers and their decimal expansions easily. In the PDF, we have provided the explained solutions as well.

These topics of Maths Exercise 1.3 helps students to score easily in the exam. The questions would be like- students have to convert the decimal number in the form of p/q or vice-versa.

Table of Contents

## Download RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF

Solutions for Class 9 Maths Chapter 1 Number System Exercise 1.3

## Important Definition RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions

Go down to the points to know about the real number, and their decimal expansion comes under the Number System topic of the RD Sharma Chapter 1 Class 9 Maths.

**Real Numbers**

Real Numbers are not Imaginary Numbers. Whether it is the irrational number or rational number, a negative number or positive number, a small number or a large number, natural number, or whole number, are all Real Numbers. All decimals and fractions have also come under the category of real numbers. It is denoted by the symbol “R.”

Look at the featured table to understand more about the real numbers-

Integers |
{…., -2, -1, 0, 1, 2, 3….} |

Rational Numbers |
5/3, 0.533, 0.0 |

Irrational Numbers |
0.1010011000…. |

Whole Numbers |
{0, 1, 2, 3, 4, 5,…….} |

Natural Numbers |
{1, 2, 3, 4, 5, 6,…..} |

**Decimal Expansion of Rational Numbers**

There are two parts of Decimal Expansion- Terminating and Non- Terminating. Terminating Decimal Numbers are Rational Numbers, where non-terminating have two parts- Repeating (Rational Numbers) and Non- Repeating (Irrational Numbers).

The real numbers which are terminating or recurring in behavior are natural numbers.

For Example:-

The number 33.3333….. It is a rational number, which can also be interpreted in the form of 100/3. In this, the decimal part (.3333…..) is the repeating (non-terminating) part means it is a recurring decimal number.

The terminating decimal like- 0.375, 0.8, etc. satisfies the condition of being rational-

- 375=
- 6= ⅗

For more clarification, consider the PDF mentioned above in the article.

**Benefits of RD Sharma Solutions Class 9 Maths**

In the RD Sharma, students will get as many questions for practice. Also, the level of questions is a little high compared to the textbooks of the 9th class textbooks. But after solving the questions from the RD Sharma, students can solve the questions of their textbooks easily by putting the formulas and tricks mentioned in the RD Sharma.

## Frequently Asked Questions (FAQs) of RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions

**Ques)- What are the two parts of Decimal Expansion?**

**Ans)-** The two parts of the decimal expansions are- Terminating Numbers and Non- Terminating Numbers.

**Ques)- Which two numbers come under the Non-Terminating Numbers?**

**Ans)-** Rational Numbers and Irrational Numbers comes under the part of Non-Terminating Numbers.

**Ques)- What are examples of not real numbers?**

**Ans)-** Not Real Numbers means Imaginary Numbers, which cannot be quantified like- the square root of the negative numbers. Students cannot add or subtract imaginary numbers. Infinity Number is the best example of the not real numbers.