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 MESSAGE BOARDS >> GENERAL DISCUSSIONS POLL: A simple mathematical problerm

by Neo7
 2 288

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 forty-two send PM view profile add to friends User #: 98666 Posts: 5854 Joined: Nov 19, 2005 Last visit: Mar 27, 2015
 Posted: Apr 28, 2011 4:19:09 PM - Report post (0) (0) post reply

 quote: originally posted by Neo7:Back to this again.I asked my mathematics professor (Ph.D. in mathematics). He says the answer is 288 becaues the divisor of the division problem is always the length of one real number unless specificed by a sub-equation completely encased in parenthesis/brackets (with the open parenthesis/bracket occuring immediately after the division symbol).48/2(3+9) = 28848/[2(3+9)] = 2

So what does 48/i2 come out to? 24i or -24i? I know that it's improper to write the i first, but we've clearly thrown syntax out the window.

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 Neo7 send PM view profile add to friends User #: 475 Posts: 8332 Joined: Jan 17, 2004 Last visit: Mar 27, 2015
 Posted: Apr 28, 2011 5:42:16 PM - Report post (0) (0) post reply
 Rewrite the i as Math.Sqrt(-1) and rationalise the denominator. It will return negative.1. 48/(2i)2. (48i)/(2 * -1)3. (48i) / (-2)4. -24i
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 forty-two send PM view profile add to friends User #: 98666 Posts: 5854 Joined: Nov 19, 2005 Last visit: Mar 27, 2015
 Posted: Apr 28, 2011 5:44:15 PM - Report post (0) (0) post reply

 quote: originally posted by Neo7:Rewrite the i as Math.Sqrt(-1) and rationalise the denominator. It will return negative.1. 48/(2i)2. (48i)/(2 * -1)3. (48i) / (-2)4. -24i

But like you said, "the divisor of the division problem is always the length of one real number". So it should be 48/2 * i. Right?

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 Neo7 send PM view profile add to friends User #: 475 Posts: 8332 Joined: Jan 17, 2004 Last visit: Mar 27, 2015
 Posted: Apr 28, 2011 6:15:38 PM - Report post (0) (0) post reply
 A complex number is written in the form a + bi.2i is a complex number (not a real number) [Represented fully as 0+2i]
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 Paper_Masochist send PM view profile add to friends User #: 1163763 Posts: 11 Joined: Apr 11, 2011 Last visit: Mar 13, 2015
 Posted: May 01, 2011 10:59:06 AM - Report post (0) (0) post reply

 quote: originally posted by Neo7:Back to this again.I asked my mathematics professor (Ph.D. in mathematics). He says the answer is 288 becaues the divisor of the division problem is always the length of one real number unless specificed by a sub-equation completely encased in parenthesis/brackets (with the open parenthesis/bracket occuring immediately after the division symbol).48/2(3+9) = 28848/[2(3+9)] = 2

X(Y+Z) is shorthand for ((X x Y)+(X x Z)) it's called expanding the brackets.

So 48/2(3+9) = 2.

You can't say these are just algebra rules applied to standard math because the convention of assuming multiplication when there's no symbol specifically comes from algebra (2a is 2 x a)

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 Neo7 send PM view profile add to friends User #: 475 Posts: 8332 Joined: Jan 17, 2004 Last visit: Mar 27, 2015
 Posted: May 01, 2011 12:14:26 PM - Report post (0) (0) post reply

quote:
originally posted by Paper_Masochist:

 quote: originally posted by Neo7:Back to this again.I asked my mathematics professor (Ph.D. in mathematics). He says the answer is 288 becaues the divisor of the division problem is always the length of one real number unless specificed by a sub-equation completely encased in parenthesis/brackets (with the open parenthesis/bracket occuring immediately after the division symbol).48/2(3+9) = 28848/[2(3+9)] = 2

X(Y+Z) is shorthand for ((X x Y)+(X x Z)) it's called expanding the brackets.

So 48/2(3+9) = 2.

You can't say these are just algebra rules applied to standard math because the convention of assuming multiplication when there's no symbol specifically comes from algebra (2a is 2 x a)

The way it's written, it would be (48/2)(3+9) for the distributive property. 48/2 is the monomial for the 3+9 part.

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 Paper_Masochist send PM view profile add to friends User #: 1163763 Posts: 11 Joined: Apr 11, 2011 Last visit: Mar 13, 2015
 Posted: May 01, 2011 12:42:27 PM - Report post (0) (0) post reply

quote:
originally posted by Neo7:

quote:
originally posted by Paper_Masochist:

 quote: originally posted by Neo7:Back to this again.I asked my mathematics professor (Ph.D. in mathematics). He says the answer is 288 becaues the divisor of the division problem is always the length of one real number unless specificed by a sub-equation completely encased in parenthesis/brackets (with the open parenthesis/bracket occuring immediately after the division symbol).48/2(3+9) = 28848/[2(3+9)] = 2

X(Y+Z) is shorthand for ((X x Y)+(X x Z)) it's called expanding the brackets.

So 48/2(3+9) = 2.

You can't say these are just algebra rules applied to standard math because the convention of assuming multiplication when there's no symbol specifically comes from algebra (2a is 2 x a)

The way it's written, it would be (48/2)(3+9) for the distributive property. 48/2 is the monomial for the 3+9 part.

So if it was written like this: 48/a(3+9) = x

You would instantly try to expand 48/a in 3 and 9? Once again this must go back into the way we were taught in certain countries because I aced expanded maths and that definitely looks like 2 is the multiplier to me.

Edit: Hmmm I can see how you're right too, it's so confusing because all mathematics I've done recently has been formatted entirely differently. I see it as:

48
--
2(3+4)

And the alternative as:

48
-- x (3+4)
2

[Edited by Paper_Masochist, 5/1/2011 12:50:24 PM]

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