Operations on Real Numbers

Introduction to Errors | Types Of Errors | Systematic Errors | Random Errors | Operations on Numbers

Operations On Rational Numbers|Operations On Irrational Numbers|Operations On Rational Numbers And Irrational Numbers|Practice Problems|OMR|Algebric Identities|OMR

Real Numbers -Decimal Expansion|Ncert Questions|Real Numbers|Irrational Numbers|Ncert Questions

Discuss the commutativity and associativity of the binary operation * on R defined by a*b=a-b+ab for all a,b in R, where on RHS we have usual addition,subtraction and multiplication of real numbers.

Prove that the identity function on real numbers given by f(x)=x is continuous at every real number.

Show that addition,subtraction and multiplication are binary operations on R, but division is not a binary operation on R . Further,show that division is a binary operation on the set R of nonzero real numbers.

Introduction|Real Numbers - Classification Of Numbers

Real Numbers-Euclid'S Divison Lemma|Real Numbers-Euclid'S Divison Algorithm|Ncert Questions|Omr

Real Number and Real Number line