# NCERT Solutions For Class 9 Maths Chapter 1 Number Systems Ex 1.2

Here, Below you all know about NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Question Answer. I know many of you confuse about finding this Chapter 1 Number Systems Ex 1.2 Of Class 9 NCERT Solutions. So, Read the full post below and get your solutions.

Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 9 |

Subject | Maths |

Chapter | Chapter 1 |

Exercise | Class 9 Chapter 16 Playing with Numbers Exercise 1.2 |

Number of Questions Solved | 6 |

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2

**NCERT TEXTBOOK EXERCISES**

**Question 1. 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) True (∵ Real numbers = Rational numbers + Irrational numbers.)

(ii) False (∵ no negative number can be the square root of any natural number.)

(iii) False (∵ rational numbers are also present in the set of real numbers.)

**Question 2. 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 irrational.

e.g., √l6 = 4

Here, ‘4’ is a rational number.

**Question 3. Show how √5 can be represented on the number line.**

**Solution:**

Now, take O as centre OP = √5 as radius, draw an arc, which intersects the line at point R. .

Hence, the point R represents √5.

**Question 4. Classroom activity (constructing the ‘square root spiral’).**

**Solution:**

Take a large sheet of paper and construct the ‘square root spiral’ in the following fashion. Start with a point O and draw a line segment OP_{1}, of unit lengths Draw a line segment P_{1}, P_{2} perpendicular to OP_{1} of unit length (see figure).

Now, draw a line segment P_{2}P_{3} perpendicular to OP_{2}. Then draw a line segment P_{3}P_{4} perpendicular to OP_{3}. Continuing in this manner, you can get the line segment P_{n-1} P_{n} by drawing a line segment of unit length perpendicular to

OP_{n-1}. In this manner, you will have created the points P_{2}, P_{3},…… P_{n},….. and

joined them to create a beautiful spiral depicting √2,√3,√4,……

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.2 PDF

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