1. Number Systems Mathematics class 9 exercise Exercise 1.5
1. Number Systems Mathematics class 9 exercise Exercise 1.5 ncert book solution in english-medium
NCERT Books Subjects for class 9th Hindi Medium
Exercise 1.1
Exercise:1.1
Q1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
Solution:
Yes, zero is a rational number, because it can be represented on a number line and it can be written in the form of p/q,
Where P = 0 and q ≠ 0;
Q4. 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.
Solution:
(I) Every natural number is a whole number. (True)
Reason: Whole numbers contains all natural numbers.
(ii) Every integer is a whole number. (False)
Reason: Integers have also negative number while whole number does not have such negative numbers.
(iii) Every rational number is a whole number. (False)
Reason: Rational numbers have variety of numbers, those numbers can not be represented as whole number.
Exercise 1.2
Exercise 1.2
Q1. State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form √m , where m is a natural number.
(iii) Every real number is an irrational number.
Solution:
(i) Every irrational number is a real number. (True)
Justification: Real numbers are collections of both rational and irrational numbers.
(ii) Every point on the number line is of the form √m , where m is a natural number. (False)
Justification: Number line contains both negative and positive integers where m is a natural number, so there is no possibility to express negative number within square root.
(iii) Every real number is an irrational number. (False)
Justification: Real numbers are collections of both rational and irrational numbers not only irrational number.
Q2. Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Solution: No, the square roots of all positive integers are not only irrational but also they are rational.
Examples:
√1 = 1 rational
√2 = √2 irrational
√3 = √3 rational
√4 = 2 rational
√9 = 3 rational
Q3. Show how 5 can be represented on the number line.
Solution:
Exercise 1.3
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Exercise 1.4
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Exercise 1.5
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Mathematics Chapter List
1. Number Systems
2. Polynomials
3. Coordinate Geometry
4. Linear Equation In Two Variables
5. Introduction To Euclid’s Geometry
6. Lines and Angles
7. Triangles
8. Quadrilaterals
9. Area Parallelograms and Triangles
10. Circles
11. Constructions
12. Herons Formula
13. Surface Areas and Volumes
14. Statistics
15. Probability
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