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NCERT#!#Operations on Real Numbers...

NCERT#!#Operations on Real Numbers

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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.

Consider the following statements : 1. Every natural number is a real number. 2. Every real number is a rational number. 3. Every integer is a real number. 4. Every rational number is a real number. Which of the above statements are correct?