Important MCQs from Class 9 Maths Chapter 1.4-Representing Real Numbers on the Number Line
| In this article, you’ll find a set of important and exam-focused MCQs from Class 9 Maths Chapter 1.4-Representing Real Numbers on the Number Line. These MCQs help you prepare smartly for your upcoming Maths tests.These MCQs are created based on the latest NCERT curriculum. These questions are perfect for students of CBSE, ICSE, IGCSE, NCERT, and various State Boards. See More Chapter MCQs Important MCQs from Class 9 Maths Chapter 1.1 “Number Systems” |
1. Which of the following statements is true about representing real numbers on the number line?
(A) Only rational numbers can be shown on the number line
(B) Irrational numbers cannot be shown on the number line
(C) Every real number has a unique position on the number line
(D) Only integers can be shown on the number line
Answer: (C) Every real number has a unique position on the number line. Explanation: Real numbers include both rational and irrational numbers, and each one corresponds to a unique point on the number line.View Answer...
2. The method used to visualize the representation of numbers on the number line with a magnifying glass is called:
(A) Successive approximation
(B) Successive magnification
(C) Repeated division
(D) Geometric progression
Answer: (B) Successive magnificationView Answer...
Explanation: Successive magnification involves repeatedly zooming into the number line to accurately locate the decimal expansion of a real number.
3. What does the absolute value of a real number represent on the number line?
(A) The negative of the number
(B) The distance from the origin to the number
(C) The reciprocal of the number
(D) The square of the number
Answer: (B) The distance from the origin to the numberView Answer...
Explanation: The absolute value of a real number is its distance from zero on the number line, always positive.
4. The process of successive magnification helps us to:
(A) Find the exact value of an irrational number.
(B) Visualize the position of a real number with non-terminating decimal expansion.
(C) Convert an irrational number to a rational number.
(D) Determine if a number is rational or irrational.
Answer: (B) Explanation: Successive magnification is a technique to visually locate and represent real numbers on the number line with increasing precision. It does not find exact values of irrational numbers but helps visualize their approximate positions.View Answer...
5. Which of the following numbers cannot be represented exactly on the number line?
(A)
(B)
(C) \( \sqrt{7} \)
(D)
Answer: (C) Explanation: \( \sqrt{7} \) is an irrational number with a non-terminating, non-recurring decimal expansion (). While we can approximate its position with successive magnification, we can never pinpoint its exact location with a finite number of steps as its decimal expansion is infinite and non-repeating.View Answer...
6. To represent ( 3.25 ) on the number line, how many equal parts should the segment between 3 and 4 be divided into?
(A) 9 parts
(B) 10 parts
(C) 11 parts
(D) 30 parts
Answer: (B) 10 partsView Answer...
7. Which statement is true about representing real numbers on the number line?
(A) Only rational numbers can be represented
(B) Irrational numbers cannot be represented
(C) All real numbers can be represented
(D) Only integers can be represented
Answer: (C) All real numbers can be representedView Answer...
Explanation: Every real number, whether rational (e.g., 1/2, 3.25) or irrational (e.g., \( \sqrt{2} \), \( \pi \)), has a unique position on the number line. Rational numbers are represented by dividing segments into equal parts, while irrational numbers may require geometric constructions or successive magnification.
8. The number ( 2.333… ) is represented on the number line by:
(A) Dividing the segment between 2 and 3 into 3 equal parts
(B) Locating the point exactly at 2.3
(C) Using successive magnification to locate the recurring decimal
(D) Marking the midpoint between 2 and 3
Answer: (C) Using successive magnification to locate the recurring decimal.View Answer...