GMAT GRE 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 7th grade math 8th grade math 9th grade math 10th grade math 11th grade math 12th grade math Precalculus Worksheets Chapter wise Test MCQ's Math Dictionary Graph Dictionary Multiplicative tables Math Teasers NTSE Chinese Numbers CBSE Sample Papers 
Real Numbers Covid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Rational and irrational numbers taken together form the set of real numbers. This set is denoted by ‘R’.Natural numbers = N = { 1,2,3,4,5,…} Whole numbers = W = { 0,1,2,3,4,… } Integers = Z = {…,3,2,1,0,1,2,3,… } Rational numbers = Q = { 2 / 3 , 5 / 7, 10 / 3,…} . The elements of this set is in p/q form.q ≠ 0. Irrational numbers = π ( π = 3.1415926535897932384626433832795 (and more...), √2, √3 ,many cube roots, golden ratio Φ, e Euler’s number etc. Since all rational and irrational numbers can be represented on the number line, we call the number line as real no. line. Real no. = R = { Natural numbers, whole numbers, Integers, Rational numbers, Irrational numbers} N ⊂ W ⊂ Z ⊂ Q ⊂ IR ⊂ R A real no. is either rational or irrational. There is a real nos. corresponding to every point on the number line. Also, corresponding to every real no. there is a point on the number line. Examples : 1) Every irrational number is a real no. State (T/F). Justify your reason. Solution : The above statement is True because real no. is a set of rational as well as irrational numbers.  2) Are the square roots of all positive integers irrational? If not, prove with an example. Solution : No, the square roots of all positive integers are not irrational. For example, √4 = 2 √9 = 3 Here, 2 and 3 are rational number.  Fill in the blanks 1) Every point on the number line corresponds to  number. (Ans) 2) Every real no. is either  number or  number. (Ans) Real No. • Real Numbers • Representation of real nos. on number line • Operations on Real nos. • Rationalization of denominator • Euclid Geometry Home Page Covid19 has affected physical interactions between people. Don't let it affect your learning.
More To Explore
