Question 48342: i'm not sure if this question is in the right section. its not from a textbook, it is from an algebra II honors summer packet.
it says:
name the sets of numbers to which each number belongs.
use N, W, Z, Q, I, or R.
and the numbers are:
-1/3, sqrt5, and pi.
to me it is very vague, but that is all the information i was given. maybe the letters have a specific meaning that i was never taught. any help at all would be greatly appreciated.
Found 2 solutions by stanbon, AnlytcPhil:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! name the sets of numbers to which each number belongs.
use N, W, Z, Q, I, or R.
N= natural numbers: 1,2,3,....
W= I never heard of but probably is the irrational #'s
Z= integers ...-3,-2,-1,0,1,2,3,....
Q= rational number: all numbers that can be written as ratios of integers
I= imaginary numbers: bi where b is any real number and i =sqrt(-1)
R= real numbers: all rational and irrational numbers combined
and the numbers are:
-1/3 is rational
sqrt5 is irrational
pi is irrational
Cheers,
Stan H.
Answer by AnlytcPhil(1806)  (Show Source):
You can put this solution on YOUR website! i'm not sure if this question is in the right
section. its not from a textbook, it is from an algebra II honors summer packet.
it says:
name the sets of numbers to which each number belongs.
use N, W, Z, Q, I, or R.
and the numbers are:
-1/3, sqrt5, and pi.
to me it is very vague, but that is all the information i was given.
maybe the letters have a specific meaning that i was never taught.
any help at all would be greatly appreciated.
N is for "Natural numbers". It is the set of numbers used to count with
N = {1, 2, 3, 4, ... }
W is for "Whole numbers". In addition to the natural numbers, W also
contains 0.
W = {0, 1, 2, 3, 4, ... }
Z is the set of all integers, positive, negative and 0
Z = {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}
Q stands for "Quotients of integers" which means the set of rational numbers
I stands for "Irrational numbers" which means all real numbers which are
not rational numbers, i.e cannot be written as the quotient of two integers.
R stands for "Real numbers" which includes all the above.
-1/3 is the Quotient of two integers -1, and 3, so it is a rational number and
a member of Q. -1/3 is also, of course, a member of R.
_
Ö5 and p are irrational because they cannot be writen as the quotient of
two integers. They both belong to I and of course R.
Edwin
|
|
|
