Real numbers and Number line Study guide

Question

I am working on a non-graded study guide about real numbers and the number line and was wondering if anyone would be willing to tell me what sets these numbers belong in. (rational numbers, integers, whole numbers, natural numbers, irrational numbers)

1.) 5
2. )-7
3.) 0
4.) π
5.) 3.6
6.) 2/5
7.)√6
8.) -15.3

 

Thanks a bunch,

Kayla

Answer 1

Rather than simply telling you which set each number belongs in I'll give you the definition of each set  

 

Natural numbers are positive integers = {1,2,3,...} 

Whole numbers are 0 and the natural numbers = {0,1,2,3,...}

Integers are 0, positive, or negative = {...,-3,-2,-1,0,1,2,3,...} 

A number is rational if it can be written as a fraction p/q where p and q are both integers.  For example, 1/3, 3/8 and -5/11 are all rational.  

A real number that is not rational is irrational.  For example, numbers like pi and √2 are irrational.  In fact, the square root of any whole number that is not a perfect square is irrational.  

 

Given these definitions, can you figure out which set each number belongs in?  If you still have questions you can comment on this answer or try reposting the question.