anonymous
  • anonymous
Can someone explain to me what closure property is and how to identify it from an equations?
Mathematics
schrodinger
  • schrodinger
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Directrix
  • Directrix
Do you have a specific problem in mind? If so, please post it.
anonymous
  • anonymous
Not really. I have a math teacher that assumed we learned this already and it's not in the math textbook. I just need help with the problems where you identify the property ex. 3+(4+5)=3+(5+4) Commutative property
Directrix
  • Directrix
Start with the properties attached in the file.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Directrix
  • Directrix
After you read them, go to the practice site at the following link: http://www.regentsprep.org/Regents/math/ALGEBRA/AN1/propPrac.htm
anonymous
  • anonymous
I know these properties already. The only property I don't understand is the closure property
Directrix
  • Directrix
Okay, I want to ask you to answer this question first. Thanks. Name the property: For real numbers, a, b, and c, give the property that justifies the following: a + (b + c) = a + (c + b)
anonymous
  • anonymous
Commutative Property because the values contained in the parenthesis stay the same, right?
Directrix
  • Directrix
Yes, very good. Most people focus on the three elements and answer "associative." Now for closure. See the two attached files.
anonymous
  • anonymous
Done. How would the problems look like?
Directrix
  • Directrix
Question 1: Is the set of negative integers closed under the operation of multiplication? Questions 2: Is the finite set { -1, 0, 1 } closed under the operation of division?
anonymous
  • anonymous
Q1: No Q2: No
anonymous
  • anonymous
But are there problems that look like For all real numbers a and b, {x|x.....? My teacher seems to love those.
Directrix
  • Directrix
Your answers to Q1 and Q2 are correct. That is set notation your teacher is using. If you would look in your notes and find one of those problems and post it here, that would be good. We could discuss it.
anonymous
  • anonymous
I'm not sure if I copied it down, but I'll check >.<
anonymous
  • anonymous
I can't find it, but the problems after the closure one all began with something like|dw:1347588986815:dw|
Directrix
  • Directrix
It's always good to take notes even if you understand what is being said at the time. I'll look in my books for a problem in that form. Question: Do you know the components of set builder notation?
anonymous
  • anonymous
Yep.
Directrix
  • Directrix
So the two examples in the attached file are familiar? Yes?
Directrix
  • Directrix
What does the symbol on the attached file mean?
anonymous
  • anonymous
Or does not
Directrix
  • Directrix
Right. So, the question I have is "What specifically is your question regarding set notation and closure.?" It seems that you know the lingo.
anonymous
  • anonymous
I have a test tomorrow and I'm just afraid that the closure problem will be something completely unexpected so I wanted to find someone who might know.
Directrix
  • Directrix
If you had an example of just one problem which you have in mind as a "closure problem," then that would be a good place to start.
anonymous
  • anonymous
In which lies the problem... One more thing. Is: \[\sqrt{2}+3 is a real number\] an example of the Closure Property of Addition?
anonymous
  • anonymous
@Directrix . Last thing. I promise.
Directrix
  • Directrix
The math processor is at 0% so I can't read the equation editor items with clarity. I think the question is the following: "(Is square root of 2) + 3 a real number. Yes, it is because square root of 2 is a real number and 3 is a real number and the set of real numbers is closed under the operation of addition. Look over your notes and ask other questions if you want. I don't mind. Question for you: Is the set of imaginary numbers closed under the operation of subtraction?
anonymous
  • anonymous
I don't think so.
anonymous
  • anonymous
I just know that i-i=0, but I'm not sure if you can repeat the elements of the set
Directrix
  • Directrix
They are not. A counterexample to the statement that the set of imaginary numbers is closed with respect to subraction would be the following: 5i and 5i are imaginary numbers but 5i - 5i = 0i = 0 which is not an imaginary number. Question: Is the set of rational numbers closed with respect to multiplication?
anonymous
  • anonymous
Yes.
Directrix
  • Directrix
Correct. Is the set of irrational numbers closed with respect to a) subtraction; b) multiplication?
anonymous
  • anonymous
a)no b)no
Directrix
  • Directrix
Correct on both. Question: The sum of the conjugate complex numbers (a+bi) and (a-bi) is a real number. Does this violate the closure property for addition of complex numbers?
anonymous
  • anonymous
No? I mean, they're both real and imaginary but the result is 2a, so I'd imagine that it wouldn't violate it o-o
Directrix
  • Directrix
The reals are a subset of the complex numbers so the closure property would not be violated. Your answer is correct.
anonymous
  • anonymous
Do I pass yet? :P

Looking for something else?

Not the answer you are looking for? Search for more explanations.