NCERT class 9 maths chapter 1 Number Systems
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.
Exercise 1.2 maths class 9 Chapter 1 Number Systems
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.
CBSE class 9 maths ncert solutions Chapter 1
Question 3:Show how 5 can be represented on the number line.
Question 4:Classroom activity (Constructing the ‘square root spiral’) : 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 OP1 of unit length. Draw a line segment P1P2 perpendicular to OP1 of unit length (see Fig. 1.9). Now draw a line segment P2P3 perpendicular to OP2. Then draw a line segment P3P4 perpendicular to OP3. Continuing in this manner, you can get the line segment Pn–1Pn by drawing a line segment of unit length perpendicular to OPn–1. In this manner, you will have created the points P2, P3,...., Pn,... ., and joined them to create a beautiful spiral depicting 2, 3, 4, ...