Note the different types of numbers, and provide two examples of each. Which of the number types is easiest for you to identify? Why?

Question

hitaro9 · Answer

Do you have the rest of the problem?

hitaro9 · Answer

What different types of numbers are they talking about?

anonymous · Answer

it does not matter, that is the question.

hitaro9 · Answer

There's no other context? It's not a subset of a whole problem? Is it following some paragraph in a chapter?

anonymous · Answer

This is talking about "Real Numbers Discussion"

hitaro9 · Answer

Is that the chapter title? Are you learning imaginary numbers? 

If so, 5 and 7 are two examples of real numbers, and 5i and 7i are examples of imaginary numbers. Unless you're an alien real numbers are probably easier for you to identify as you have experience with those, you can count real things with real numbers.

anonymous · Answer

OK, Please Wait.....

hitaro9 · Answer

Okay. I'm still not sure if that's what you're talking about, but if it is in reference to imaginary numbers, something like that should work.

anonymous · Answer

In this unit-Real Numbers, you learned about different types of numbers that make up real numbers. Note the different types of numbers and provide two examples of each. Which of the number types is easiest for you to identify? Why? 

PS: This is a Discussion question for Real Numbers.

hitaro9 · Answer

Oh I see. So, have you learned about rational numbers and irrational numbers then?

anonymous · Answer

Yes, I have.

hitaro9 · Answer

Okay. A rational number can be considered a ratio between 2 integers. Here's a somewhat funny video to help describe that: http://www.youtube.com/watch?v=X1E7I7_r3Cw

hitaro9 · Answer

Anyways, aside from that an irrational number is one that can't be described as fractions, ones that are infiinte non repeating, etc.

hitaro9 · Answer

For examples the squareroot of 2, e, and pi are all irrational numbers

hitaro9 · Answer

(pi probably being the most familiar of those to you)

hitaro9 · Answer

Rational numbers are generally easier to identify for you, as they quantify whole things. If someone asked you for 5 pencils, you could do that easily count that out.

hitaro9 · Answer

Even 3 1/2 pencils you could give someone. Take 4 pencils, and cut one in half. Easy, understandable.

hitaro9 · Answer

If someone asked you for pi pencils though, you could never get it  exactly right, as pi is infinite. 

You could get that 3.14 pencils, by cutting 1 pencil up in to 100 parts and putting together 14 pieces of it, but that wouldn't be right as pi is actually a little bit more than 3.14. 

You could give them 3.1415927 pieces of a pencil if you tried hard enough, but that would still be too much. 

As such, You're probably  a lot more comfortable with ratioanl numbers.

anonymous · Answer

So......... ^^^^^^is the answer ?

hitaro9 · Answer

Well, I want you to understand it first. Do you understand what a rational number is?

anonymous · Answer

Yes, Of course I do.

hitaro9 · Answer

Okay, and an irrational number. You understand how it's a number that you can never simplify to being 2 intergers no matter how hard you try?

anonymous · Answer

yes

hitaro9 · Answer

Alright. So you can come up with any 2 irrational numbers (e, sqrt(2) and pi are all famous ones. Not sure if you've dealt with e or sqrt2 yet, let me know if you haven't. 

Pretty much any other number you can think of (all the "normal" ones) should work for the other 2 rational numbers

hitaro9 · Answer

And you can explain how you've always dealt with whole numbers and ratios of whole numbers, much like pythagoras had, and as such irrational numbers are a pretty unidentifiable for you.

anonymous · Answer

I do not get it?  !

hitaro9 · Answer

Okay. What is it that you don't get? You're trying to explain why one type of number is easier for you to identify. You understand what an irrational number is, and it's probably a relatively foreign concept to you right?

 When you were learning to count, your parents taught you "This is 1 apple, this is 2 apples" etc. They didn't teach you "This is the ratio of apples arranged in a square  of one side of the square to the diagonal." 

(If your parents did teach you that when you were 3, you should be a little concerned). 

But because you've worked with rational numbers your whole life, they're probably more identifiable for you.

hitaro9 · Answer

Understand?