SOLUTION: The directions state name all of the sets of numbers to which each real numbers belong. Let N = natural numbers, W = whole numbers, Z = intergers, Q = rational numbers, and I = ir

Algebra ->  Real-numbers -> SOLUTION: The directions state name all of the sets of numbers to which each real numbers belong. Let N = natural numbers, W = whole numbers, Z = intergers, Q = rational numbers, and I = ir      Log On


   



Question 126913: The directions state name all of the sets of numbers to which each real numbers belong. Let N = natural numbers, W = whole numbers, Z = intergers, Q = rational numbers, and I = irrational numbers. 18#. 0.131313 what is the answer to this question. I do not understand what the difference in these are could you please explain it to me?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N or the set of the natural numbers are the counting numbers you would use to count with (1,2,3,4,5,...).
W or the set of whole numbers are the same as natural numbers but you also include 0 (0,1,2,3,4,5,...).
Z or the set of integers are the set of natural numbers, together with zero and their negative counterparts and include (...-5,-4,-3,-2,-1,0,1,2,3,4,5,...).
Q is the set of rational numbers that can be described as the ratio between two integers (examples are 1/2, 5/17, -2/3,...). Most repeating patterned numbers fall into this category.
I is the set of irrational numbers and every other number not in W, Z, or Q falls into this category.
Examples are
pi which approximates to 3.1415926
e which is approximately 2.71828
sqrt%282%29 which approximates to 1.4142135.
Your number falls into Q.
It is the ratio of two integers.
In fact the two integers are 689 and 5247, 689/5247=0.13131313...