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CBSE Class 9 Maths Worksheet Chapter 1 Number System

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VSAT 2023

CBSE Class 9 Maths Worksheet Chapter 1 Number System - Download Free PDF with Solution

When it comes to Maths as a whole, not many people excel in this subject as it is a subject that solely relies on the logical reasoning functions of the brain. That is why the number system can be intimidating to most students. In Chapter 1, Number System for Class 9, students will learn the number system and their types and how to solve the equations. 

So, what is the number system, and what does the number system syllabus contain? A number system can be defined as an arithmetic system or practice of writing numbers to express them. It is the mathematical notation for continuously representing numbers of any given set by using a certain set of digits, symbols, or other characters. It offers a unique representation of every number. It signifies the arithmetic and algebraic structure of the given figures, permitting us to carry out mathematical calculations such as addition, subtraction, and division. 

All these figures carry their values, which can be determined by looking at the digit, the position in the number, and the base of the number. A number is a mathematical value used to count, measure, or label objects. Regarding the number system, these numbers are used as digits. 

With the help of worksheets such as the Number System Class 9 worksheet, Class 9 Maths Chapter 1 worksheet pdf, and worksheet for Class 9 Maths Chapter 1 with solutions and the operations on Real Numbers Class 9 worksheet, students will have a better understanding of what number systems are and how to solve them accurately.

Last updated date: 21st Sep 2023
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Benefits of Learning Number System in Class 9 Chapter 1 Maths Worksheet

The Class 9 Maths Chapter 1 worksheet pdf contains more than enough material to help students better understand what number systems are and how to solve them. The worksheets come with extensive questions, attempting to clear any doubts the students might have about the number system and their types.

The Maths assignment for Class 9 Number System list of questions and answers provide thorough insights on the topic’s resources and offers easy tricks to identify quicker ways to solve the questions faster while also being more aware and making sure students don’t go wrong or commit any silly mistakes in their solutions.

All of these worksheets have been developed by the best mathematicians and experienced arithmetic representatives who are very aware of the needs and requirements of the students of Class 9.

Examples of Usage of Number System for Class 9

These are a few examples of Maths assignments for Class 9 Number System exercises’ examples :

  1. Answer the following.

  • Find two irrational numbers and two rational numbers between 0.7 and 0.77.

  • Every integer is not a whole number. True or false?

  • Find at least 7 rational numbers between 2 and 9.

  • Write down 4567 in the decimal and binary number systems.

  • Is 0 a rational number? State your reasons based on your answer.

Interesting Facts About Number System for Class 9

  • There are nine types of number systems in mathematics. They are :

    • Natural numbers

    • Whole numbers

    • Integers

    • Fractions

    • Rational numbers

    • Irrational numbers

    • Real numbers

    • Imaginary numbers

    • Prime and composite numbers

  • Natural numbers are the root forms of numbers between 0 to infinity. They are also named “positive numbers” or “counting numbers” and are represented by the symbol N. (1, 2, 3, 4, 5 and so on)

  • Whole numbers are natural numbers, with the only difference being the inclusion of 0. They are represented by the symbol W. (0, 1, 2, 3, 4, 5 and so on)

  • Integers contain whole numbers and the negative values of natural numbers and don’t include fractions, so their numbers can’t be written in the “a/b” format. It ranges from infinity at the negative end to infinity at the positive end, including 0 and is represented by Z. (...-3, -2, -1, 0, 1, 2, 3… and so on)

  • Fractions are numbers written in the “a/b” format, where “a” (numerator) is a whole number, and “b” (denominator) is a natural number. Hence, the denominator can never be 0. (2/4, 0/10, 5/7, etc.)

  • Rational numbers can be written in fractions where “a” and “b” are both integers and b ≠ 0. All fractions are rational numbers, but all rational numbers are not fractions.(-5/9, 3/9, -8/14, etc)

  • Irrational numbers are numbers that can’t be written in fractional forms. (√8, √.127, √3.209, etc)

  • Real numbers can be written in decimals, including whole numbers, integers, fractions, etc. All integers belong to real numbers, but not all real numbers belong to integers. (1.25, 0.467, 8.9, etc.)

  • Imaginary numbers are not real numbers, resulting in negative numbers when squared or put together. They are also named complex numbers and are represented by the symbol i. (√-3, √-16, √-1, etc.)

  • Numbers that don’t have other factors except 1 are called prime numbers, and the rest of the numbers - except 0 - are called composite numbers, as 0 is neither a prime nor a composite number. ( 2, 3, 5… are prime numbers whereas 4, 6, 8… are composite numbers)

  • Other definitions and elaborated explanations will be provided in the operations on real numbers class 9 worksheet pdf and more.

Important Topics for Class 9 Number System

The important topics students will have to learn in the number system syllabus for Class 9 are as follows :

  • What are number systems, and how to solve them?

  • What are the four types of number systems?

  • How to convert one number system to another number system.

  • Solving the problems and choosing the correct answer.

  • Various other exercises in the Number System Class 9 worksheet

What does the PDF Consist of?

  • Most schools have syllabuses that don’t include just spoon-feeding the information to the students.

  • It only means that the students must learn by themselves, with the teachers guiding and aiding them throughout their learning process.

  • With technology being part of most school curriculums, a huge part of their assignments, tests, and worksheets are online, favoured as pdfs.

  • Vedantu’s pdf format is highly sought-after as it is used for creating, editing, highlighting, saving, and sharing content.

  • The worksheet for Class 9 Maths Chapter 1 with Solutions pdfs is free for download at Vedantu’s website.

  • Rest assured, all the worksheets adhere to the CBSE guidelines' strict, updated, and revised rules.

Many other Number Systems Class 9 worksheet pdfs are present at Vedantu’s platform, created by their own arithmetic subject matter experts, ensuring that the students receive the best training and exercises needed to test their skills and excel in their examinations.

FAQs on CBSE Class 9 Maths Worksheet Chapter 1 Number System

1. Which number system is frequently used?

The decimal number system is the most widely used.

2. How are the values of various figures calculated?

All these figures carry their values, and these values can be determined by: 

  • looking at the digit 

  • the position in the number 

  • the base of the number. 

3. Can rational numbers be whole numbers?

No, since rational numbers may be fractional and whole numbers are not.