Exersice 1.4 Class 10 NCERT Solutions pdf with small and detailed answers on May 24, 2020

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.4 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel. 

 

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question 1 

 

Chapter 1 - Real Numbers Exercise Ex. 1.4

Solution 1

3125 = 5^₅
The denominator is of the form 5^m.


8 = 2^₃
The denominator is of the form 2^m.

455 = 5 x 7 x 13
Since the denominator is not in the form 2^_m x 5^_n, and it also contains 7 and 13 as its factors, its decimal expansion will be non-terminating repeating.

1600 = 2^₆ 5^₂
The denominator is of the form 2^_m x 5^_n.


343 = 7^₃
Since the denominator is not in the form 2^_m x 5^_n, and it has 7 as its factor,

The denominator is of the form 2^_m x 5^_n.

Hence, the decimal expansion of   is terminating.

(vii)

Since the denominator is not of the form 2^m  5ⁿ, and it also has 7 as its

The denominator is of the form 5^_n.
Hence the decimal expansion of  is terminating.
(ix)50 = 2 x 5 x 5
The denominator is of the form 2^m  5ⁿ.

30 = 2 x 3 x 5
Since the denominator is not of the form 2^m 5ⁿ, and it also has 3 as its factors,


Concept Insight: The  concept used in this problem is that

The decimal expansion of rational number  where p and q are coprime numbers,
terminates if and only if the prime factorisation of q is of the form 2ⁿ5^m, where n and m are non negative integers. Do not forget that 0 is also a non negative integer so n or m can take value 0.
Generally mistake is committed in identifying terminating decimals  when either of the two prime numbers  2 or 5 is appearing in the prime factorisation.

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.4 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question 2

Solution 2

Concept Insight: This is  based on performing the long division and expressing the rational number in the decimal form learnt in lower classes

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.4 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question 3

Solution 3

(i)    43.123456789

Since this number has a terminating decimal expansion, it is a rational number of the form  and q is of the form 2^m x 5ⁿ,

i.e., the prime factors of q will be either 2 or 5 or both.

(ii)    0.120120012000120000...
The decimal expansion is neither terminating nor recurring. Therefore, the given number is an irrational number.


Since the decimal expansion is non-terminating recurring, the given number is a rational number of the form and q is not of the form 2_^m x 5_ⁿ  i.e., the prime factors of q will also have a

factor other than 2 or 5.


Concept Insight: The  concept used in this problem is that, 
If the decimal expansion of rational number  , [where p and q are coprime numbers] terminates, then  prime factorization of q is of the form 2ⁿ5^m, where n and m are non negative integers.

Thank you for reading this blog thank you very much

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.3 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question1

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.2 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question 2

We the team of subject wise have provided detaiiled solution of class 10 ncert exercise 1.2 so please read this post completly if you have any doubt please comment it down also follow our youtube  channel.

Chapter 1 - Real Numbers Exercise Ex. 1.4

here it is solution of question 3

 

if you not read the previous blog please read it. it is the solution to exercise 1.1 AND EXERCISE 1.2

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