Question

OPEN ENDED

Give an example of each type of number.

1. Natural
2. Whole
3. Integer
4. Rational
5. Irrational
6. Real

Short answer

Example of each type of number is

a. 2

b. 0

c. $-3$

d. $\frac{1}{2}$

e. $\sqrt{2}$

f. 2

Step-by-step solution

a.Step 1 - Define natural number.

The set $\left\{1,2,3,4,5,...\right\}$ is called the set of natural number.

- Example of natural number

From above definition, one example is 2

b.Step 1 - Define whole number.

The set $\left\{0,1,2,3,4,5,...\right\}$ is called the set of whole number.

- Example of whole number

From above definition, one example is 0

c. Step 1 - Define integer number.

The set $\left\{...,-3,-2,-1,0,1,2,3,...\right\}$ is called the set of integer number.

- Example of integer number

From above definition, one example is -3

d.Step 1 - Define rational number.

The set of rational number has numbers in the ratio form $\frac{m}{n}$, where m and n are integers and n is non-zero. The decimal form of a rational number is either a terminating or repeating decimal.

- Example of rational number

From above definition, one example is $\frac{1}{2}$

e.Step 1 - Define irrational number.

A real number that is not rational is irrational. The decimal form of an irrational number is neither terminating nor rational.

- Example of irrational number

From above definition, one example is $\sqrt{2}$

f.Step 1 - Define real number.

Combine sets of rational and irrational number is real number.

- Example of irrational number

From above definition, one example is 2