NCERT CBSE Class 10th Mathematics Chapter 1: Real Numbers

Safalta Expert Published by: Sylvester Updated Sat, 02 Jul 2022 06:18 PM IST

Highlights

NCERT CBSE Class 10th Mathematics Chapter 1: Real Numbers

The first chapter of CBSE Class 10th Mathematics is ‘Real Numbers’.
Students will come to know about various types of numbers such as Real Numbers, Integers, Rational, Irrational, Natural, Whole, Odd, Even, Prime and Composite Numbers.
All rational and irrational numbers are called real numbers.


Some important topics to study in this chapter are as follows:

  • Euclid’s Division Lemma
  • Fundamental Theorem of Arithmetic
  • Revisiting Irrational Numbers
  • Revisiting Rational Numbers and their Decimal Expansion

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Students can view and download the solutions from the link given below.

NCERT Solutions for Chapter 1: Real Numbers


Also Check

Chapter 2: Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progression
Chapter 6: Triangles
Chapter 7: Coordinate Geometry
Chapter 8: Introduction to Trigonometry
Chapter 9: Some Applications of Trigonometry
Chapter 10: Circle
Chapter 11: Constructions
Chapter 12: Areas Related to Circles
Chapter 13: Surface Areas and Volume
Chapter 14: Statistics
Chapter 15: Probability

 

Check out Frequently Asked Questions (FAQs) for Chapter 1: Real Numbers

For some integer m, every odd integer is of the form

2m + 1

The product of a non-zero number and an irrational number is

always irrational

On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

We need to find the L.C.M of 40, 42 and 45 cm to get the required minimum distance.

40 = 2×2×2×5

42 = 2×3×7

45 = 3×3×5

L.C.M. = 2×3×5×2×2×3×7 = 2520

The values of the remainder r, when a positive integer a is divided by 3 are

0, 1, 2

A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?

This can be explained as,

  

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