Question

What are non-zero real numbers?

Answer 1

Hint:There are different types of numbers which can be divided into two main categories : Real numbers and imaginary numbers. Imaginary numbers will have complex parts along with the real part and in real numbers there are infinite numbers having imaginary part equal to zero.Real numbers include negative, positive and all real numbers.

Complete step by step answer:
As we have discussed earlier the imaginary and real numbers are infinite in numbers but the only difference lies in the value of the imaginary part. Complex numbers can be written as $a+bi$ here ‘a’ is the real part and ‘b’ is the imaginary part. For example, $1+3i$.

Real numbers are all numbers without imaginary part i.e. -20, 2, 4, 5, -6.These all are real numbers. As we know that, real numbers pan out as any negative and any positive number including zero. These can further be classified or identified as non-zero real numbers and including zero.

Non-zero real numbers just do not include zero in it. This can be represented in the form of a set. As the real numbers are represented by the letter ‘$R$’. Non-zero real numbers can be represented by R- {0}. {0} represents the element zero. We can think of any number up to any digits and write it down as a non-zero real number.

Note:Sometimes non-something is the type of language that is used to trick you in exams. Non-positive, non-zero are to be read carefully and answered. They are actually negative and without zero. Try to break into the simpler meaning. Real, whole, natural, complex all are different types of numbers. Each can be differentiated by their unique properties.