NCERT Solutions for Class 9 Maths Chapter 1 Number Systems, Exercise 1.5 Class 9, Class 9 Maths Exercise 1.5

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5
Access Answers of Maths NCERT Class 9 Chapter 1 – Number Systems Exercise 1.5

NCERT Solutions for Class 9 Maths Exercise 1.5

Exercise 1.5 Class 9 Maths Question 1.
Classify the following numbers as rational or irrational: 
(i) 2 –√5

Exercise 1.5 Class 9 Maths
(ii) (3 +√23)- √23

Exercise 1.5 Class 9 Maths
(iii) 2√7/7√7

Exercise 1.5 Class 9 Maths
(iv) 1/√2

Answer: Since given number contains an irrational number as numerator, thus, it is an irrational number.

(v) 2π

Answer: Since, given number an irrational number, π as factor, thus, given number is an irrational number.

Exercise 1.5 Class 9 Maths Question 2.
Simplify each of the following expressions:
(i) (3+√3)(2+√2)

Exercise 1.5 Class 9 Maths

(ii) (3+√3)(3-√3)

Exercise 1.5 Class 9 Maths

(iii) (√5+√2)2

Exercise 1.5 Class 9 Maths

(iv) (√5-√2)(√5+√2)

Exercise 1.5 Class 9 Maths

Exercise 1.5 Class 9 Maths Question 3.
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter, (say d). That is, π =c/d. This seems to contradict the fact that π is irrational. How will you resolve this contradiction?

Answer: There is no contradiction. Remember that when you measure a length with a scale or any other device, you only get an approximate rational value. So, you may not realise that either c or d is irrational.

Exercise 1.5 Class 9 Maths Question 4
Represent (√9.3) on the number line.

Exercise 1.5 Class 9 Maths

Exercise 1.5 Class 9 Maths

Exercise 1.5 Class 9 Maths

Exercise 1.5 Class 9 Maths Question 5
Rationalize the denominators of the following:

(i) 1/√7

Exercise 1.5 Class 9 Maths

(ii) 1/(√7-√6)

Exercise 1.5 Class 9 Maths
(iii) 1/(√5+√2)

Exercise 1.5 Class 9 Maths

(iv)1/√7-2

Exercise 1.5 Class 9 Maths

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5 is the first exercise of Chapter 1 of class 9 Maths. This exercise explains how to find rational numbers between the two given numbers.

NCERT Solutions For Class 9 Maths Chapter 1 Number Systems Exercises

You can also download the free PDF of Class 9 Maths Chapter 1 Ex 1.5 Number Systems NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation. You can also download the free PDF of Class 9 Maths Chapter 1 Ex 1.5 Number Systems NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

NCERT Solutions For Class 9 Maths Chapter 1 Number Systems Ex 1.5

Get Free NCERT Solutions for Class 9 Maths Chapter 1 Ex 1.5 Number Systems Class 9 Maths NCERT Solutions are extremely helpful while doing homework. Exercise 1.5 Class 9 Maths NCERT Solutions were prepared by Experienced ncertlive.in Teachers. Detailed answers of all the questions in Chapter 1 Class 9 Maths Number Systems Exercise 1.5 Provided in NCERT Textbook. NCERT Solutions for class 9 Maths Chapter 1- Number Systems Exercise 1.5

NCERT Solutions Class 9 Maths Chapter 1 Number Systems Exercise 1.5 are provided here.

Our subject experts have prepared this NCERT Maths solution chapter wise, so that it helps students to solve the problems easily while using it as a reference. They also focus on creating solutions for these exercises in such a way that it is easy to understand for the students. The first exercise in Number Systems Exercise 1.5 is the introduction. They provide a detailed and stepwise explanation of each answer to the questions given in the exercises in the NCERT textbook for Class 9. The solutions are always prepared by following NCERT guidelines, so that it covers the whole syllabus accordingly. These are very helpful in scoring well in first and second term examinations.

Download PDF of NCERT Solutions for Class 9 Maths Chapter 1- Number Systems Exercise 1.5

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5 is the first exercise of Chapter 1 of class 9 Maths. This exercise explains how to find rational numbers between the two given numbers.

Key Features of NCERT Solutions for Class 9 Maths Chapter 1- Number Systems Exercise 1.5

These NCERT Solutions help you solve and revise all questions of Exercise 1.5.

After going through the stepwise solutions given by our subject expert teachers, you will be able to score more marks.

It follows NCERT guidelines which help in preparing the students accordingly.

It contains all the important questions from the examination point of view.

What Do You Learn About Number System

Number System is amongst the most crucial parts of NCERT Solutions for Class 9 Maths. Number System is the mathematical notations created using digits and symbols. From understanding the rational and irrational numbers to solving problems of them, NCERTLiVE will be there for you in every step.

There are 8 different types of number as follows:

  • Complex Number
  • Imaginary Numbe
  • Real Number
  • Rational number
  • Irrational number
  • Integers
  • Whole numbers
  • Natural numbers

The NCERT Solution for Class 9 Maths Chapter 1 covers all these number types with vivid explanation. 

Do you know zero is a rational number too? If not, don’t worry! The 9th class Maths exercise 1.5 Solution will explain to you the answer with a perfect illustration. 

Natural Numbers: Numbers which are used for counting is called natural numbers like 1, 2, 3 etc. In other words, we can say that all positive integers are a natural number. There are infinite natural numbers and 1 is of the least value among them.

The Class 9 Maths Chapter 1 exercise 1.5 also makes you understand that all whole numbers are rational numbers but all rational numbers are not always whole numbers.

The examples of numbers that are not natural are 8, 3.49, 0, etc.

Rational Number: Ratio of two integers where the denominator is not zero is called a rational number. One surprising fact is that a repeating decimal is also called a rational number. 

Ex:5/3, 16/7 these are rational numbers.

Irrational Number: An irrational number is a real number that cannot be written as a simple fraction. ‘’ is a very famous irrational number.

Decimals: Decimal is very interesting and fun part of the Number System. Decimal fractions were first introduced and used by Chinese at the end of the 4th century and then spread to the Middle East and from there to Europe. We use decimal in our daily life without our consciousness. For example – counting money, putting fuel into our vehicle or while measuring our weight. Decimals can never be whole numbers. Few example: 1.8, 000.23 etc.

Decimals classifications

Terminating decimal fractions are 17/4= 4.25, 21/5 = 4.2 and so on.

Non- terminating decimal fractions are 16/3 = 5.33333 , 15.35353535 etc.

Integer: All numbers which do not have a decimal in them are called integers. Thus, -9, 4, 1476 etc. Do you know? All integers are whole numbers including the negative numbers.

These are a few fundamental topics of the Number System. Class 9 Maths Chapter 1 will give you detailed explations of all of them with important exercises to practice in the NCERT Solutions for Class 9 Maths Chapter 1, exercise 1.5. Apart from this, you will get to know how to use these numbers in a logical manner to solve problems. There will be ‘n’ number of solved questions in the exercise 1.5 Class 9 Maths NCERT Solutions. These will help you have complete clarity on the subject.

Class 9 Maths Chapter 1 Solutions - NCERT LiVE

NCERT LiVE has created a harmonious balance between theory and practical knowledge in the Number System Class 9 Solution. The course is created by expert teachers who have vast knowledge and experience in this field. Hence, study materials are easily understandable by students. They can prepare on their own without any extra guidance. All the important topics are jotted down in a structured manner so it can satisfy your inquisitiveness. In NCERT Solution Class 9 Maths Chapter 1, you will get everything related to Number System that you need to outshine your scores in previous exams.

You can also download NCERT Solutions Class 9 Maths to help you to revise complete syllabus and score more marks in your examinations.

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