Question

Represent all the types of number system graphically in your own way.​

Answer 1

The diagram is added.

• 1. $\mathbb{N}$ is the set of Natutal Numbers, containing the numbers 1, 2, 3, 4, 5, ... .

• 2. $\mathbb{N_{0}}$ is the set of Whole Numbers, containing the numbers 0, 1, 2, 3, 4, ... .

• 3. $\mathbb{Z}$ is the set of Integers, containing the numbers 0, ± 1, ± 2, ± 3, ... .

• 4. $\mathbb{Q}$ is the set of Rational Numbers, containing the numbers, expressible in the form a/b where both a and b are integers with non-zero b.

• 5. $\mathbb{Q'}$ is the set of Irrational Numbers containing the numbers, not expressible in the form a/b, e.g., $\sqrt{13}$.

• 6. $\mathbb{R}$ is the set of Real Nunbers, containing both the sets of Rational and Irrational Numbers.

• 7. $\mathbb{I}$ is the set of Imaginary Numbers, containing the numbers formed by $i=\sqrt{-1}$.

• 8. $\mathbb{C}$ is the set of Complex Numbers. It contains both the set of Real and Imaginary Nunbers.

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Draw a rough diagram showing the relation among all numbers sets and describe each set.

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