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Class 9 Maths Chapter 1 Question Answers - Number System

Ques1. Find six rational numbers between 1 and 2.
 
Solution. 

Let x = 1 and y = 2
⇒   y > x
Here n = 6

Class 9 Maths Chapter 1 Question Answers - Number System 
∴ The six rational numbers between 1 and 2 are: (x + d), (x + 2d), (x + 3d), (x + 4d), (x + 5d) and (x + 6d).
Class 9 Maths Chapter 1 Question Answers - Number System

Ques 2. Find five rational numbers between 0.6 and 0.8.
 Solution.
 

Let x = 0.6 and y = 0.8
⇒   y > x
Here, n = 5
∴  Class 9 Maths Chapter 1 Question Answers - Number System
Now, the five rational numbers between 0.6 and 0.8 are: (x + d), (x + 2d), (x + 3d), (x + 4d), and (x + 5d).

Class 9 Maths Chapter 1 Question Answers - Number System

Thus, the required five rational numbers between 0.6 and 0.8 are:  Class 9 Maths Chapter 1 Question Answers - Number System

Ques3. If ‘a’ and ‘b’ are rational numbers and Class 9 Maths Chapter 1 Question Answers - Number System
then find the value of ‘a’ and ‘b’.
Solution.

Rationalizing the fraction, we get

Class 9 Maths Chapter 1 Question Answers - Number System

Now  Class 9 Maths Chapter 1 Question Answers - Number System

Equating a and b both sides
⇒ a + b√8 = 17 +6√8
⇒ a = 17 and b = 6

The document Class 9 Maths Chapter 1 Question Answers - 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 Question Answers - Number System

1. What is the decimal number system?
Ans. The decimal number system is a base-10 number system that uses digits from 0 to 9 to represent numbers. Each position in a decimal number has a place value based on powers of 10.
2. How does the binary number system work?
Ans. The binary number system is a base-2 number system that uses digits 0 and 1 to represent numbers. Each position in a binary number has a place value based on powers of 2.
3. What is the octal number system?
Ans. The octal number system is a base-8 number system that uses digits from 0 to 7 to represent numbers. Each position in an octal number has a place value based on powers of 8.
4. How do you convert decimal numbers to binary numbers?
Ans. To convert a decimal number to a binary number, divide the decimal number by 2 and write down the remainder. Continue this process with the quotient until you reach 0, then read the remainders in reverse order to get the binary equivalent.
5. What is the hexadecimal number system?
Ans. The hexadecimal number system is a base-16 number system that uses digits from 0 to 9 and letters A to F to represent numbers. Each position in a hexadecimal number has a place value based on powers of 16.
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