# Important Questions Class 9 Maths Chapter 1 Number System

Important questions for Class 9 Maths Chapter 1 Number system are given here. These practice questions will help the students to build a better understanding of the Number system concept in Maths. These Class 9 Chapter 1 questions are important for CBSE Class 9 Maths exams. These important questions give an overview of the question types that are asked in the final exams and so students are able to face the exams more confidently.

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## Number System Important Questions For Class 9 (Chapter 1)

Below given important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.

Q.1: Find five rational numbers between 1 and 2. [Answer: 7/6, 8/6, 9/6, 10/6, 11/6]

Q.2: Find five rational numbers between 3/5 and 4/5. [Answer: 19/30, 20/30, 21/30, 22/30, 23/30]

Q.3: Locate 3 on the number line.

Q.4: Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Q.5: Find the decimal expansions of 10/3, 7/8 and 1/7.

Q.6: Show that $0.3333… = 0.\bar{3}$ can be expressed in the form p/q, where p and q are integers and q ≠ 0.

Q.7: What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? Perform the division to check your answer.

Q.8: Find three different irrational numbers between the rational numbers 5/7 and 9/11. [Answer: 0.720720072000.., 0.730730073000…, 0.808008000…]

Q.9: Visualise 3.765 on the number line, using successive magnification

Q.10: Add 22+ 53 and 2 – 33. [Answer: 32 + 2√3]

Q.11: Simplify: (√3+√7) (√3-√7). [Answer: -4]

Q.12: Rationalise the denominator of 1/[7+3√3].

Q.13: Represent √(9.3) on the number line.

Q.14: Simplify:

(i)72/3.71/5
(ii)101/2/101/4

Q.15:  What is the product of a rational and an irrational number?
a) Always an integer
b) Always a rational number
c) Always an irrational number
d) Sometimes rational and sometimes irrational

Q.16: What is the value of (256)0.16 X (256)0.09?
a) 4
b) 16
c) 64
d) 256.25

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