Q1. - Algebra 2

Question

OPEN ENDED

Give an example of each type of number.

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

Step-by-Step Solution

Answer

Example of each type of number is

a. 2

b. 0

c. $-3$ 

d. $\frac{1}{2}$ 

e. $\sqrt{2}$ 

f. 2 

a. Step 1 - Define natural number.

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

Step 2 - 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.

Step 2 - 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.

Step 2 - 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.

Step 2 - 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.

Step 2 - 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.

Step 2 - Example of irrational number

From above definition, one example is 2