What are non negative real numbers?

Algebra is a branch of mathematics that is concerned with the analysis of symbols which represent unknown quantities and constants which represent known quantities. The expressions of algebra are made up of terms and each term may consist of variables (an unknown value), coefficient, constants along with mathematical operations attached to them. 

The below-written article is a study of real numbers. The article briefly describes non-negative real numbers along with some sample questions for doubt clearance.

Real numbers

Real numbers are the set of numbers that consists of both rational and irrational numbers. They can either count to be positive or negative. Generally, real numbers are denoted by the alphabetical symbol ‘R’. Some examples of real numbers are -1/2, -5, -11, -0.5, etc. The set of real numbers, whole numbers, rational numbers, and as well as irrational numbers can be expressed in the form of p/q.

What are non-negative real numbers?

Answer:

The set of positive real numbers which are greater than 0 (zero) are the non-negative real numbers.

The statement can be written as,

R ≥ 0

Which means the real numbers are either positive or zero. The set will include numbers like {0,1, 2, 3, 4, 5,…}.

Sample Problems

Question 1: Which numbers are not included in the set of real numbers?

Answer:

The imaginary numbers and the irrational numbers which can not be expressed in the form of p/q are not included in the set of real numbers.

Question 2: Is zero included in non-negative real numbers?

Answer:

Yes, all the positive numbers along with zero are included in non-negative real numbers.

Question 3: What are imaginary numbers?

Answer:

The complex numbers which are represented by letters and do not have a constant value are imaginary numbers. They are basically unreal numbers with no constant numerical value.