• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4.

  • Number Systems Class 9 Ex 1.1
  • Number Systems Class 9 Ex 1.2
  • Number Systems Class 9 Ex 1.3
  • Number Systems Class 9 Ex 1.4
  • Number Systems Class 9 Ex 1.5
  • Number Systems Class 9 Ex 1.6
Board CBSE
Textbook NCERT
Class Class 9
Subject Maths
Chapter Chapter 1
Chapter Name Number Systems
Exercise  Ex 1.4
Number of Questions Solved 2
Category NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4

Ex 1.4 Class 9 Maths Question 1.
Visualize 3.765 on the number line, using successive magnification.
Solution:
We know that 3.765 lies between 3 and 4. So, let us divide the part of the number line between 3 and 4 into 10 equal parts and look at the portion between 3.7 and 3.8 through a magnifying glass. Now 3.765 lies between 3.7 and 3.8 [Fig. (i)]. Now, we imagine dividing this again into ten equal parts. The first mark will represent 3.71, the next 3.72 and so on. To see this clearly, we magnify this as shown in
[Fig. (ii)].
NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4-1
Again 3.765 lies between 3.76 and 3.77 [Fig. (ii)]. So, let us focus on this portion of the number line [Fig. (iii)] and imagine to divide it again into ten equal parts [Fig. (iii)]. Here, we can visualize that 3.761 is the first mark and 3.765 is the 5th mark in these subdivisions. We call this process of visualization of representation of numbers on the number line through a magnifying glass as the process of successive magnification. So, we get seen that it is possible by sufficient successive magnifications of visualizing the position (or representation) of a real number with a terminating decimal expansion on the number line.

Ex 1.4 Class 9 Maths Question 2.
Visualise \( 4.\overline { 26 }\) on the number line, upto 4 decimal places.
Solution:
We adopt a process by successive magnification and successively decrease the lengths of the portion of the number line in which \( 4.\overline { 26 }\) is located. Since \( 4.\overline { 26 }\) is located between 4 and 5 and is divided into 10 equal parts [Fig. (i)]. In further, we locate \( 4.\overline { 26 }\) between 4.2 and 4.3 [Fig. (ii)].

To get more accurate visualization of the representation, we divide this portion into 10 equal parts and use a magnifying glass to visualize that \( 4.\overline { 26 }\) lies between 4.26 and 4.27. To visualise \( 4.\overline { 26 }\) more clearly we divide again between 4.26_and 4.27 into 10 equal parts and visualise the representation of \( 4.\overline { 26 }\) between 4.262 and 4.263 [Fig. (iii)].

Now, for a much better visualization between 4.262 and 4.263 is again divided into 10 equal parts
[Fig. (iv)]. Notice that \( 4.\overline { 26 }\) is located closer to 4.263 then to 4.262 at 4.2627.

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4-2

Remark: We can adopt the process endlessly in this manner and simultaneously imagining the decrease in the length of the number line in which 4.26 is located.

We hope the NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4 help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4, drop a comment below and we will get back to you at the earliest.

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • Letter to The Editor Class 12 CBSE Format, Samples and Examples
  • Speech Writing Format CBSE Class 11 Examples, Samples, Topics
  • Report Writing Class 12 Format, Examples, Topics, Samples
  • Decimals
  • CBSE Class 12 English Letter Writing – Letters Of Application for Jobs
  • NCERT Exemplar Problems Class 7 Maths – Exponents and Powers
  • NCERT Exemplar Class 7 Maths Practical Geometry Symmetry and Visualising Solid Shapes
  • NCERT Exemplar Class 7 Maths Algebraic Expression
  • NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2
  • NCERT Exemplar Problems Class 7 Maths – Perimeter and Area
  • NEET Physics Chapter Wise Mock Test – General properties of matter
  • ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 6 Factorization MCQS
  • Division of a Polynomial by a Monomial
  • Multiplication-Decimal Numbers
  • Proper, Improper and Mixed fractions

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
cbse ncert
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions