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Mathematics 15 Online
OpenStudy (anonymous):

Numbers p and q are whole numbers. Which statements are always true? Choose all answers that are correct. A. p + q is a whole number B. p – q is a whole number C. p • q is a whole number D. is a whole number

OpenStudy (anonymous):

@TheEdwardsFamily @CandyCove

OpenStudy (anonymous):

please help

Directrix (directrix):

The whole numbers are the set {0,1,2,3,4,...} If you take any two whole numbers and add them, the sum will be a whole number so option A is correct. But, you need to look at the other options as well.

OpenStudy (anonymous):

ok, so.... A and B?

Directrix (directrix):

Is this true; p – q is a whole number Let p be the whole number 6 Let q be the whole number 10. Question for you: Is 6 - 10 a whole number?

Directrix (directrix):

Please don't jump ahead. We need to look at each option.

Directrix (directrix):

Question for you: Is 6 - 10 a whole number?

OpenStudy (anonymous):

yes, but its a negative

Directrix (directrix):

Yes or no?

OpenStudy (anonymous):

yes..... i think

Directrix (directrix):

It is not. 6 - 10 = -4 which is not in the set of whole numbers. So, throw out option B. It is not correct.

OpenStudy (anonymous):

ok...

Directrix (directrix):

>p • q is a whole number If you multiply any two whole numbers, you will get a whole number. Option C is correct.

OpenStudy (anonymous):

ok, now i understand. thank you

Directrix (directrix):

What is missing from this option? I think you left out something. D. is a whole number

OpenStudy (anonymous):

oh, ya...

Directrix (directrix):

We are not finished until we decide about option D

OpenStudy (anonymous):

ok

Directrix (directrix):

Post the complete option statement for D so that we can get a wrap on this problem.

Directrix (directrix):

Look at your text to get what option D says.

OpenStudy (anonymous):

|dw:1444938448310:dw|

OpenStudy (anonymous):

it says that it is p over q

OpenStudy (anonymous):

|dw:1444938502442:dw|

Directrix (directrix):

D) p/q is a whole number Let p be the whole number 3 Let q be the whole number 5 Question: is the number 3/5 = .6 a whole number Yes or No.

Directrix (directrix):

Remember: This is how the set of whole numbers looks: The whole numbers are the set {0,1,2,3,4,...}

OpenStudy (anonymous):

no

Directrix (directrix):

Good. So, the set of whole numbers is not closed under the operation of division. Answer Bottom Line: Options A and C? Is that what we got? Please verify?

OpenStudy (anonymous):

yes

Directrix (directrix):

Okay. Thanks for being active in the post and participating. It is more fun that way!

OpenStudy (anonymous):

yeah it is

OpenStudy (anonymous):

is that it?

Directrix (directrix):

For this problem, yes.

OpenStudy (anonymous):

can you help me with one more?

OpenStudy (anonymous):

@Directrix

Directrix (directrix):

Post the new question in a new thread, okay?

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