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Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9

Document Description: Exercise 1.1 NCERT Solutions: Number System for Class 9 2022 is part of Mathematics (Maths) Class 9 preparation. The notes and questions for Exercise 1.1 NCERT Solutions: Number System have been prepared according to the Class 9 exam syllabus. Information about Exercise 1.1 NCERT Solutions: Number System covers topics like and Exercise 1.1 NCERT Solutions: Number System Example, for Class 9 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Exercise 1.1 NCERT Solutions: Number System.

Introduction of Exercise 1.1 NCERT Solutions: Number System in English is available as part of our Mathematics (Maths) Class 9 for Class 9 & Exercise 1.1 NCERT Solutions: Number System in Hindi for Mathematics (Maths) Class 9 course. Download more important topics related with notes, lectures and mock test series for Class 9 Exam by signing up for free. Class 9: Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9
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Q.1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?

Yes, zero is a rational number.
Zero can be written as:Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9
Example : Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9
Which is in the form of p/q where p and q are integers and q ≠ 0.


Q.2. Find six rational numbers between 3 and 4.

We can find any number of rational numbers between two rational numbers. First of all, we make the denominators same by multiplying or dividing the given rational numbers by a suitable number. If denominator is already same then depending on number of rational no. we need to find in question, we add one and multiply the result by numerator and denominator.
Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9

We can choose 6 rational numbers as: Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9andExercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9


Q.3. Find five rational numbers between 3/5 and 4/5.

Since we make the denominator same first, then
Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9

Now we need to find 5 rational no.

Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9

∴ Five rational numbers between Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9areExercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9andExercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9


Q.4. State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.

True, because the set of natural numbers is represented as N= {1, 2, 3…….} and the set of whole numbers is W = {0, 1, 2, 3 ………}. We see that every natural number is present in the set of whole numbers.

(ii) Every integer is a whole number.

Integers: Integers are set of numbers that contain positive, negative and 0; excluding fractional and decimal numbers.
i.e., integers = {…-4,-3,-2,-1,0,1,2,3,4…}
Whole numbers: Numbers starting from 0 to infinity (without fractions or decimals)
i.e., Whole numbers = 0,1,2,3….
Hence, we can say that integers include whole numbers as well as negative numbers.
Every whole number is an integer; however, every integer is not a whole number.

(iii) Every rational number is a whole number.

False
Rational numbers: All numbers in the form p/q, where p and q are integers and q ≠ 0.
i.e., Rational numbers = 0, 19/30 , 2, 9/-3, -12/7…
Whole numbers: Numbers starting from 0 to infinity (without fractions or decimals)
i.e., Whole numbers = 0,1,2,3….
Hence, we can say that integers include whole numbers as well as negative numbers.
Every whole number is rational, however, every rational number is not a whole number.

The document Exercise 1.1 NCERT Solutions: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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