# NCERT CBSE Class 10th Mathematics Chapter 1: Real Numbers

Safalta Expert Published by: Sylvester Updated Wed, 22 Jun 2022 06:37 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

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

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, 