Answer to Question #156345 in Calculus for Mahfuz Hossain Patwary

Question

"-23 is a Real, Rational and integer number" Interpret the reason

Answer 1

-23 is a real number because there exist -1/23 such that -1/23 is the multiplicative inverse of -23. Also, there exist 23 such that 23 is the additive inverse of -23. All of this boils from the fact that the set of real numbers is a field. -23 is a rational number because it can be expressed in the form -23/1.-23 is an integer because it isthe negative of the natural number 23. This is because the integers are constructed fromthe union of the negative of the natural numbers, zero and the natural numbers; the natural numbers as defined here do not include zero.