NCERT New Pattern Maths Class 9th Chapter 1 (Number System) Exercise 1.1 solution with PDF In English | Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में | प्रश्नावली 1.1 कक्षा 9 गणित अध्याय 1 संख्या पद्धति समाधान पीडीएफ |

Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में | कक्षा 9 गणित के लिए एनसीईआरटी समाधान PDF | कक्षा 9 पाठ 1 संख्या पद्धति | प्रश्नावली 1.1 कक्षा 9 गणित अध्याय 1 संख्या पद्धति | NCERT New Pattern Maths Class 9th Chapter 1 (Number System) Exercise 1.1 solution with PDF In English | Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में | प्रश्नावली 1.1 कक्षा 9 गणित अध्याय 1 संख्या पद्धति समाधान पीडीएफ |

Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में |

(ads)

Class 9th math exercise 1.1 Question 1: Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0 ?

Class 9 math exercise 1.1 Answer 1: Yes, zero is a rational number and it can be represented in the form of p/q as 0/1 , 0/2 or 0/z where z is an integer and z ≠0.

Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में |

(ads)

Class 9th math exercise 1.1 Question 2: Find six rational numbers between 3 and 4 ?

Class 9 math exercise 1.1 Answer 2: There are infinite rational numbers between 3 and 4. So, we can represent 3 and 4 in terms of fractions as an example: (Multiplying & dividing by 8)

NOTE: We can multiply & divide by other numbers as well. We are multiplying and dividing at the same time because it is easier to write other fractions in between.The decimal numbers between 3 & 4 can also be written for e.g. 3.1, 3.2, 3.3, etc.

Now, we can write the six rational numbers between 3 and 4 as:

Now let us try dividing with some other number.(Multiplying and dividing by 10)

And now we can write the rational numbers between 3 and 4 as 

31/10, 32/10, 33/10, 34/10….. and so on So, you can take any number.

Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में |

(ads)

Class 9th math exercise 1.1 Question 3: Find five rational numbers between 3/5 and 4/5.

Trick: To find "n" rational numbers between any two numbers, multiply & divide both by "n+1". Between 3/5 and 4/5 there exist infinite rational numbers & we know that rational numbers are fractions, whole numbers and decimals.

Class 9th math exercise 1.1 Answer 3:  Trick: To find "n" rational numbers between any two numbers, multiply & divide both by "n+1".

Between 3/5 and 4/5 there exist infinite rational numbers & we know that rational numbers are fractions, whole numbers and decimals.

Hence, five rational numbers between 3/5 and 4/5 are:

Hence, five rational numbers.

Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में |

(ads)

Class 9th math exercise 1.1 Question 4: State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

Class 9th math exercise 1.1 Answer : (i) True, since the collection of whole numbers contains all natural numbers.

Natural numbers are numbers starting from 1, i.e 1, 2, 3, 4, 5, 6, .................And whole numbers are numbers starting from 0. i.e, 0, 1, 2, 3, 4, 5.............And you can see that all natural numbers are within whole numbers.

(ii) False, as integers may be negative or positive but whole numbers are always positive.

Now integers are numbers that are both negative and positive and include zero also, i.e., ..........-3, -2, -1, 0, 1, 2, 3, 4, ....... And whole numbers are numbers starting from 0. i.e., 0, 1, 2, 3, 4, 5............And clearly, negative numbers are missing from whole numbers.

(iii) False, as rational numbers may be fractional but whole numbers are not fractional. 

Now, Rational numbers are numbers that can be expressed in p/q form where q not equal to zero. So they include fractions on the other hand whole numbers are numbers starting from 0. i.e, 0, 1, 2, 3, 4, 5............ Therefore, Whole numbers does not contain all rational numbers.

(ads)

Thanks for Visiting on my Blog.. If can't understand Class 9th math exercise 1.1 solution by the given statement...you can easily understand by the VIDEO SOLUTION.

NCERT New Pattern Maths Class 9th Chapter 1 (Number System) Exercise 1.1 solution with PDF In English | Class 9th math exercise 1.1 solutions in english and hindi | कक्षा 9वीं गणित प्रश्नावली 1.1 समाधान अंग्रेजी और हिंदी में | प्रश्नावली 1.1 कक्षा 9 गणित अध्याय 1 संख्या पद्धति समाधान पीडीएफ |