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Class 9 Maths Chapter 1 HOTS Questions - Number System

Q.1. Find the value of Class 9 Maths Chapter 1 HOTS Questions - Number System

Solution. Since 
Class 9 Maths Chapter 1 HOTS Questions - Number System 
Class 9 Maths Chapter 1 HOTS Questions - Number System

Q.2. If √2 = 1.4142 then find the valueClass 9 Maths Chapter 1 HOTS Questions - Number System
Solution. Rationalising the denominator of Class 9 Maths Chapter 1 HOTS Questions - Number System,
we get,

Class 9 Maths Chapter 1 HOTS Questions - Number System

Class 9 Maths Chapter 1 HOTS Questions - Number System              ........ (1)

Class 9 Maths Chapter 1 HOTS Questions - Number System

Q.3. Find the value of 'a' in Class 9 Maths Chapter 1 HOTS Questions - Number System
Solution.

Class 9 Maths Chapter 1 HOTS Questions - Number System

Class 9 Maths Chapter 1 HOTS Questions - Number System

since,  L.H.S. =  R.H.S.

Class 9 Maths Chapter 1 HOTS Questions - Number System

Q.4. Find the value of 'a' and 'b'
Class 9 Maths Chapter 1 HOTS Questions - Number System
Solution.
Class 9 Maths Chapter 1 HOTS Questions - Number System

Class 9 Maths Chapter 1 HOTS Questions - Number System

Since, L.H.S. = R.H.S

Class 9 Maths Chapter 1 HOTS Questions - Number System

⇒ a = 0 and b = 1

Q.5. If  Class 9 Maths Chapter 1 HOTS Questions - Number System then find the value of Class 9 Maths Chapter 1 HOTS Questions - Number System
Solution.

Class 9 Maths Chapter 1 HOTS Questions - Number System

Class 9 Maths Chapter 1 HOTS Questions - Number System

Class 9 Maths Chapter 1 HOTS Questions - Number System
Class 9 Maths Chapter 1 HOTS Questions - Number System

The document Class 9 Maths Chapter 1 HOTS Questions - Number System is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 9 Maths Chapter 1 HOTS Questions - Number System

1. What is the number system?
Ans. The number system is a way of representing numbers using symbols or digits. It consists of different sets of numbers such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
2. What are natural numbers?
Ans. Natural numbers are a set of numbers that starts from 1 and goes on infinitely. They are also known as counting numbers and do not include zero or any negative numbers.
3. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero and include numbers like 1/2, -3/4, and 0.
4. What are irrational numbers?
Ans. Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They are non-repeating and non-terminating decimals. Examples of irrational numbers include π (pi) and √2 (square root of 2).
5. What is the difference between whole numbers and integers?
Ans. Whole numbers include all the natural numbers along with zero, whereas integers include all the whole numbers along with their negative counterparts. In other words, integers are a superset of whole numbers, as they include both positive and negative numbers.
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