NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

  • Real Numbers Class 10 Ex 1.1
  • Real Numbers Class 10 Ex 1.2
  • Real Numbers Class 10 Ex 1.3
  • Real Numbers Class 10 Ex 1.4
BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 1
Chapter NameReal Numbers
ExerciseEx 1.4
Number of Questions Solved3
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

Ex 1.4 Class 10 Maths Question 1.
Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion:

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers e4 1

Solution:
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers e4 1a
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers e4 1b

Ex 1.4 Class 10 Maths Question 2.
Write down the decimal expansions of those rational numbers in the question 1, which have terminating decimal expansions.
Solution:
study rankers class 10 maths Chapter 1 Real Numbers e4 2

Ex 1.4 Class 10 Maths Question 3.
The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational and of the form \frac { p }{ q }, what can you say about the prime factors of q ?
(i) 43. 123456789
(ii) 0.120120012000120000…
(iii) 43. \overline { 123456789 }
Solution:
(i) 43.123456789
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers e4 3
Here, the denominator is of the form 2m5n.
Hence, the number is a rational number, specifically a terminating decimal.
(ii) Since the given decimal number is non­terminating non-repeating, it is not rational
(iii) Since the given decimal number is non­terminating repeating, it is rational, but the denominator is not of the form 2m5n.

We hope the NCERT Solutions for Class 10 Mathematics Chapter 1 Real Numbers Ex 1.4 help you. If you have any query regarding NCERT Solutions for Class 10 Mathematics Chapter 1 Real Numbers Ex 1.4, drop a comment below and we will get back to you at the earliest.

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