Download NCERT Chapter 1 Real Numbers Class 10 Solutions

Download  Chapter 1 Real Numbers Class 10 Solutions  

If you are looking for a suitable medium for online solution, then try to explain mathematics in a simple way, Real Number Class 10 NCERT  Solution materials have been prepared completely under the guidance of subject experts, After studying Real Number Class 10 you can do well in the exam. 

Maths PDF Solution provide Important Topics, detailed exaplanations of  Chapter 1 Real Numbers. Based on new CBSE/NCERT Exam Pattern.

   

Chapter 1 Maths Real Number Class 10 NCERT  Solution   

1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers

                       Some Imporatant Definitions

 Natural Numbers:

Counting numbers are called natural numbers. N = {1, 2, 3, …}

Whole Numbers:

Zero along with all natural numbers are together called whole numbers. Example {0, 1, 2, 3,…}

Even Numbers:

Natural numbers of the form 2n are called even numbers.  Example  (2, 4, 6, …} 

Odd Numbers:

Natural numbers of the form 2n -1 are called odd numbers. 
Example {1, 3, 5, …}

Prime Numbers :- A Numbers which can divisible by 1 or itself are called Prime Numbers.        Example {2,3,5,7,11,13,17,.......}

Co-Prime Numbers:- H.C.F(Highest common factor) of both Numbers are 1and at least one prime numbers. 
  Example- (2,3) (5,4) (5,6) etc.

Twins Prime- Difference of both Co-prime Numbers are 2. Example:- (3,5) (5,7) (11,13) etc.

 Real Numbers

 Combination Of Rational And Irrational Numbers is called Real Numbers.

 Rational Numbers- Any Number Which can Express or written in the form of  p/q, wherw p,q are Integers & q not equal to zero.

Some Facts Of Rational Number:

• All Natural, Whole, Integers, Even, Odd, Prime, Fraction, decimals etc. numbers can be expressed as rational.
• 0/1 is a Rational Number But 1/0 is not a Rational Number
• zero is a Rational Numbers whose reciprocal also zero.
• Rational numbers  can be positive or negative.  
• Rational numbers have two kinds of arithmetic, the arithmetic of decimals and the arithmetic of common fractions

Irrational number— A number that can be represented by a point on the number line but which is not rational.

                                           or

Any Number Which can not Express or written in the form of  p/q is called  Irrational Numbers

                                                     or

An irrational number cannot be fully written down in decimal form. It would have an infinite number of digits after the decimal point.

Examples- 

1-π (Pi) is a famous irrational number.

         π = ²²/₇ = 3.1428571428571... 

2- Roots of primes like √2, √3, √5 etc. are irrational

Euclid’s Division Lemma : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r< b.

  

 NCERT  Chapter 1 Real Numbers Class 10 PDF Solutions                                                               

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