Page 1 :
35. Represent the real number V7on the number line., , 36.Represent the real number V2,.3,V5 on a single number line., , 37.Find two rational number and two irrational number between V2 and 3., 38. Find the decimal expansions of a2 and 7, 39. Show that 3.142678 is a rational number. In other words, express 3.142678 in the form of, , Pe , where p and q are integers and g#0., , 40. Show that 0.3333....... can be expressed in the form of 2 , where p and q are integers, and qg#0. ‘, , 41.Show that 1.27272727....... can be expressed in the form of 2 , where p and q are, integers and g#0. ‘, , 42. Show that 0.23535353....... can be expressed in the form of P , where p and q are, integers and q#0. ‘, , 43. Express the following in the form of . where p and q are integers and g#0., (0.6 (ii)0.47 (iii)0.001 (iv)0.26, , 44, Find three different irrational numbers between the rational numbers 2 and 2., , 45. Visualize the representation of 5.37 using successive magnification, , 46. Visualize 4.26 on the number line, using successive magnification upto 4 decimal places., , 47. Visualize 3.765 on the number line, using successive magnification., , 48. Find the value of a and b in each of the following:, , 3+ v2 _ +. i +7 ay HL +V5 4,, Brad Ge i bv aii) 7A bv5, , 49. oe each of the pea by rationalizing the denominator., 6-42 G52 _5 #2, 6+4V2 V5+2 5-2, , 50. Evaluate the following expressions:, , 1, 256 7 4 343 \3, (G »( 25) (ii) (15625)> cin 3], , 6561, 65536, 32 +48, B+ V2 na, , aE, , , , , , , , , , , , @, , 1, (vg (343 3, , , , 51. Simplify:, , 52. Simplify: