Question

These are the sets you need to put in the Complex number system venn diagram.

Answer 1

Solution: The venn diagram will be completed as shown in the given figure.

Explanation:

There are many types numbers. The set of numbers are defined below.

Complex Numbers: The complex are the addition of real and imaginative numbers. it is represented as a+bi, where a is a real number and b is an imaginary number.

Imaginary Numbers: The imaginary numbers are those numbers which are not real numbers. For example $\sqrt{-2}$.

Real Numbers: All numbers in the number system( fractional, roots, positive, negative, decimal, etc) are real numbers. For example 2.1 and 5 etc. Real numbers are categorized in two parts rational and irrational numbers.

1) Irrational numbers: The number which can't expressed in the form of  are called irrational numbers. For example $\sqrt{2}$ and $\sqrt{7}$ etc.

2)  Rational numbers: The number which can be expressed in the form of  are called irrational numbers. For example 5 and -5.2 etc. It is categorized in two parts fractional and integer numbers.

3)Integer numbers: The rational number which has no decimal value is called integer numbers. For example-8,-2, 0, 5,7 and 100 etc.

4) Whole Numbers: The set of all positive integers including 0 is called known as the set of whole numbers.

5) Natural Numbers: All Whole numbers except 0 are known as natural number.