Question 1184382


by definition, a {{{real}}}{{{ number}}} is:

Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers.
The type of number we normally use, such as {{{1}}}, {{{15.82}}}, {{{-0.1}}}, {{{3/4}}}, etc.

 by definition, an {{{integer}}}  is:

Integers are like whole numbers, but they also include negative numbers, but still no fractions allowed!
Integers = { ..., {{{-4}}}, {{{-3}}},{{{ -2}}}, {{{-1}}}, {{{0}}}, {{{1}}},{{{ 2}}}, {{{3}}},{{{ 4}}}, ... }


 a {{{natural}}} number:

"Natural Numbers" can mean either "Counting Numbers" { {{{1}}}, {{{2}}}, {{{3}}}, ...}, or "Whole Numbers" { {{{0}}}, {{{1}}}, {{{2}}}, {{{3}}}, ...}, depending on the subject.

By definition, natural numbers are a part of the number system that contains all positive integers starting from the number 1 to infinity. Whereas, a whole number includes all positive numbers starting from the number 0 to infinity. The number {{{0}}} is a whole number but {{{not}}} a natural number.

a {{{rational}}} number: 
a rational number can be made by dividing two integers
{{{1.5}}} is a rational number because {{{1.5 = 3/2 }}}  ({{{3}}} and {{{2}}} are both integers)

The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. 

True or False Questions
1.
{{{2}}} is a real number=>  True
2.
 {{{-17}}} is an integer=>  True
3. 
{{{3/2 }}}is an integer=>  False 
4. 
{{{pi}}} is a real number  =>  True  (Pi is an irrational number)

5. 
{{{sqrt(3)}}} is a rational number=>  False  ({{{sqrt(3)}}}  is an irrational number.)

6. 
{{{0}}} is a natural number=>  False  

7. 
{{{sqrt(49)}}}  is a rational number=>  True 

8. 
{{{sqrt(7)}}}  is a rational number=>  False  ({{{sqrt(7)}}}  is an irrational number)