To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. theres only 2 btw
A.Whole Numbers
B.Rational Numbers
C.Integers
D.Irrational Numbers
E.Natural Numbers

Question

To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. theres only 2 btw
A.Whole Numbers
B.Rational Numbers
C.Integers
D.Irrational Numbers
E.Natural Numbers

mathstudent55 · Answer

Natural Numbers (also called Counting Numbers): 1, 2, 3, 4, 5, ...
Whole Numbers: 0, 1, 2, 3, 4, 5, ...
Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
Rational Number: a number that can be written as a fraction of integers
Irrational Number: a number that is not rational

anonymous · Answer

hmm

mathstudent55 · Answer

Go through each definition, and see if -22 belongs in each set.
Notice that the definitions are not in the same order as your choices.

anonymous · Answer

okay so the first is integers but i dont understand what the second one would be

anonymous · Answer

?

anonymous · Answer

the first is integers but i dont know the second one

mathstudent55 · Answer

-22 is definitely an integer, but it is part of another set in the choices too.

anonymous · Answer

irrational numbers?

mathstudent55 · Answer

No.
Look at the definition of rational.
Can -22 be written as a fraction with an integer in the numerator and an integer in the denominatior?

mathstudent55 · Answer

For example, 

$\dfrac{-22}{1} $

Is this fraction equal to -22?
Are -22 and 1 integers?

anonymous · Answer

Hmm so is it rational?

mathstudent55 · Answer

Correct.
-22 can be written as a fraction of integers in may ways.
Here is another way:

$\dfrac{-44}{2} $

-44 and 2 are both integers, and that fraction equals -22, so -22 is a rational number.

anonymous · Answer

Awesome :D

anonymous · Answer

Is it okay if i copy and paste ur notes to my notebook? for learning

mathstudent55 · Answer

Yes, be my guest.

Your problem is already answered, but for a little more understanding, read on.

Now we can ask a question. Then what is an irrational number?
A number such as $\pi$ which is the circumference divided by the diameter of a circle.
$\sqrt 2$, $\sqrt 3$

These numbers cannot be written as a fraction of integers.

You may have seen an approximation of $\pi$ written as $\dfrac{22}{7} $, but that is only a rational approximation. $\pi$ is an irrational number.

anonymous · Answer

Okay well thank you for your help :)

mathstudent55 · Answer

You're welcome.