Portfolio of class 9 ch number system
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Answer:
The collection of numbers is called the Number system.
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Introduction to number system class 9.
Natural Numbers N 1, 2, 3, 4, 5, ……
Integers Z …., -3, -2, -1, 0, 1, 2, 3, …
Rational Numbers Q p/q form, where p and q are integers and q is not zero.
Irrational Numbers Which can't be represented as rational numbers
Number system for class 9 which is the first chapter has been given here for students to get a reference for the same. Here you will learn about the Number System with its definition and types of numbers. Also, learn the definition of all the types along with their properties. Students who are preparing for the exam could use these materials as a source of learning and have revision at the time of the final exams. Get some example questions and practice questions to understand the number system.
Number System in Maths
Number system pdf
Important Questions Class 9 Maths Chapter 1 Number System
Introduction to number system class 9
The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers. Let us see the table below to understand with the examples.
Natural Numbers N 1, 2, 3, 4, 5, …
Whole Numbers W 0,1, 2, 3, 4, 5…
Integers Z …., -3, -2, -1, 0, 1, 2, 3, …
Rational Numbers Q p/q form, where p and q are integers and q is not zero.
Irrational Numbers Which can’t be represented as rational numbersSwipe left
Natural Numbers
All the numbers starting from 1 till infinity are natural numbers, such as 1,2,3,4,5,6,7,8,…….infinity. These numbers lie on the right side of the number line and are positive.
Whole Numbers
All the numbers starting from 0 till infinity are whole numbers such as 0,1,2,3,4,5,6,7,8,9,…..infinity. These numbers lie on the right side of the number line from 0 and are positive.
Integers
Integers are the whole numbers which can be positive, negative or zero.
Example: 2, 33, 0, -67 are integers.
Rational Numbers
A number which can be represented in the form of p/q is called a rational number. For example, 1/2, 4/5, 26/8, etc.
Irrational Numbers
A number is called an irrational number if it can’t be represented in the form of ratio.
Example: √3, √5, √11, etc.
Real Numbers
The collection of all rational and irrational numbers is called real numbers. Real numbers are denoted by R.
Every real number is a unique point on the number line and also every point on the number line represents a unique real number.
Difference between Terminating and Recurring Decimals
Terminating Decimals Repeating Decimals
If the decimal expression of a/b terminates. i.e. comes to an end, then the decimal so obtained is called Terminating decimals. A decimal in which a digit or a set of digits repeats repeatedly periodically is called a repeating decimal.
Example: ¼ =0.25 Example: ⅔ = 0.666…