Half of A plus half of B equals half of A and B together.
Is there a rule with a name for this fact?
YWN Coffee Room » Bais Medrash
Math Question
(44 posts)-
Posted 6 months ago #
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The distributive property of multiplication over addition
Posted 6 months ago # -
It is the distributive law - remember good ole ninth grade algebra?
Posted 6 months ago # -
factoring.
1/2 A + 1/2 B = 1/2(A+B)You are factoring out the common term, 1/2.
======================================================
The reverse process is the distributive property, distributing the 1/2 to each term: 1/2(A+B)=1/2 A + 1/2 BPosted 6 months ago # -
the Law of Association
see: http://www.mathsisfun.com/associative-commutative-distributive.htmlPosted 6 months ago # -
Distributive Property.
.5 A + .5 B = .5 (A+B)
or
C*A + C*B = C*(A+B)
Posted 6 months ago # -
oooooooh....high school maaaath.....bringing back baaaaad memories......I'm outta here!
Posted 6 months ago # -
I believe its the distributive property. .5A + .5B = .5(A+B)
Posted 6 months ago # -
I believe that is called the distributive property:
x(a+b)= xa+xb. So in your example, x=1/2.Oops, looks like others got there first. Sorry for repeating.
Posted 6 months ago # -
EEEEWWW! GROSS!! lets talk abt sumfin better and more appetizing!! YUM!! I LOVE IC CREAM!! WHATS UR BET FLAVOR??
Posted 6 months ago # -
AYC is correct, the rest of us who wrote distributive are wrong.
Posted 6 months ago # -
It's the Distributive Property.
Example: 1/2(5) + 1/2(2) = (5+2)/2. Doing that math, both sides should equal 3.5.
Posted 6 months ago # -
Association would be
(A + B) + C = A + (B + C)
==========================Commutative is
(A + B) = C = (B + A) + Cor
A+B = B+APosted 6 months ago # -
no ayc is not exactly correct .
this is the distributive property.
the factoring also depends on distributive property.
distributive is a law not a process so it is not correct to
refer to the reverse.whether you remove or create the parenthesis,
you are still applying the distributive property.done for this thread.
Posted 6 months ago # -
Mods!! I was promised there would be no math in the CR! Please delete this post immediately!
Posted 6 months ago # -
Thank you so much everyone! It came up in learning, that's why I put it in the Beis Medrash, lol.
Posted 6 months ago # -
"AYC is correct, the rest of us who wrote distributive are wrong."
Thank you, charlie brown. It was quite uncomfortable being the sole unpopular opinion here. (At least I wasn't berated for it...guess I'm not over that other experience yet, sigh)
Posted 6 months ago # -
Factoring and the distributive property are the same thing. Factoring works because it uses the distributive property.
Posted 6 months ago # -
wandering, just for that your punishment is that you have 3 minutes to figure out the circumference of a circle with a diameter or 4"
:)
Posted 6 months ago # -
In 1/2 A + 1/2 B = 1/2(A+B), you are not distributing anything. You are factoring out the 1/2.
In the reverse 1/2(A+B)=1/2 A + 1/2 B, you are distributing out the 1/2 and removing parentheses.Posted 6 months ago # -
Who likes Mint Chocolate chip ice cream!! HEAVEN!!
Posted 6 months ago # -
Gumball, so in your example, if you split half the Mint Chocolate chip ice cream with person A and half of it with person B....
Posted 6 months ago # -
AHHHHH!!! LOL!!!!! omg u crack me up in 2 half! lol!!!!!
Posted 6 months ago # -
Thank you, charlie brown. It was quite uncomfortable being the sole unpopular opinion here.
You're very welcome.
(At least I wasn't berated for it...guess I'm not over that other experience yet, sigh)
You're lucky its bein hazmanim otherwise Bar Shatya may have called you a dolt!
Posted 6 months ago # -
yitayningwut
"It came up in learning, that's why I put it in the Beis Medrash, lol."very curious where in learning this came up...
Posted 6 months ago # -
am yisrael chai -
Lol, I was waiting to see if anyone would pick up on that.
Here's what happened.
Background: If someone tovels in a mikvah and there is a chatziza on רוב of his body, it is a chatzitza mid'oraisa (provided that he doesn't want it to be on him). Anything else is only mid'rabannan or not a problem.
There is a machlokes between the Ge'onim and the Rambam about how to define רוב. The Ge'onim held that the body and the hair are judged separately. That is, if the chatzitza covers רוב of the body but not רוב of the hair, it is a chatzitza. If it covers רוב of the hair and not רוב of the body, it is also a chatzitza. The Rambam disagrees and says there is no such thing. There is the body together with the hair and that's it, if רוב of everything has a chatzitza, it is a problem; if not - even though there is a chatzitza on רוב of one - it is not a problem.
Apparently in this machlokes the Rambam is meikil and the Ge'onim are machmir. Says one of the acharonim, there is one case where the Rambam will be machmir and the Ge'onim will be meikil: When you have a מיעוט of hair and a מיעוט of the body but together they equal רוב of the body with the hair! Argued my Rosh Chabura, this is impossible!! No מיעוט plus a מיעוט can ever equal a רוב of both together!! It took him some time to convey his point to the chabura, but at the end of the day everyone realized what he meant. I just thought knowing the name of this law might help in explaining it to someone else in the future. :) :)
Posted 6 months ago # -
yitayningwat - did anyone come up with pshat in that acharon? Which acharon was it?
Posted 6 months ago # -
charlie brown - my eyes glazed over and it's taken me 3 days to recover!
Posted 6 months ago # -
Charlie - The Sfas Emes. No one had p'shat.
Posted 6 months ago # -
wanderingchana, LOL!! You'll be let off the hook this time but make sure to do your math homework tomorrow!
Posted 6 months ago # -
Let me take a stab at pshat here. When we talk of a chatzita in hair, it can be that it is tied up in knots. When we talk about a chatzitza in the body, it can be like mud.
Let us argue that the waist is the midpoint.
Suppose that up until just below the waist, a person is covered in mud. Suppose that above the waist, a miyut of hair is knotted up. However, when you add the amount of (square inches of) the person covered with mud, to the amount that has knotted hair, the person now has a chatzitza on rov of his body. The Rambam may say this is a chatzitza, while the geonim would say since each type separately has only a miyut, it is not a chatzitza.
Posted 6 months ago # -
Can i ask another math question? this is it
3s=4(s-6)+2
I have a math test soon, and i'm gonna fail if I don't know this answer quick! Could someone please help me out?Posted 6 months ago # -
supergirl613:
3s=4(s-6)+2
3s=4s-24+2
3s = 4s-22
-4s -4s
________________
-s = -22
s=22Got it?
Posted 6 months ago # -
The idea is to simplify, simplify, simplify!
3s=4(s-6)+2
distribute the 4:
3s=4s-24+2combine the numbers:
3s=4s-22subtract 4s from both sides, so that you have all "s"'s on one side of the equation and all numbers on the other side:
-1s= -22divide by -1 (on both sides of the equation) so that you have "s" on its own, resulting in s=something
s=22
=======================Check:
3s=4(s-6)+2
3(22) = 4(22-6)+2
66 = 4(16) +2
66 = 64 +2
66 = 66Posted 6 months ago # -
Boy, supergirl, you made me do some math... Haven't done any in a looong time!
I think it's called "Inverse Operation". The idea is to isolate the 's', thus finding the value of 's' (as CB and AYC explained above). Good luck!Posted 6 months ago # -
Whats the Pythagorean Theorom?? OMG!!
Posted 6 months ago # -
Thank you both a lot, but Charlie Brown how did you get -4s=4s
and AYC how did you do the check?
I'm sorry I"m making you go crazy, but I"m having a really hard time!Posted 6 months ago # -
Pythagorean theorem is A squared + B squared = C squared. its used for right triangles IIRC
example: a right triangle with 3 sides, one side is 3", one is 4" and the longest is 5".
3*3 + 4*4 = 5*5
9+16=25
25=25(i took geometry a long time ago. this correct? LOL)
Posted 6 months ago # -
Pashuteh Yid -
I don't see how you are answering the question. The Rambam doesn't hold you need rov of the body, he holds you need rov of the (body + hair). How can you ever get there with a mi'ut of the body and a mi'ut of the hair?
Posted 6 months ago # -
Supergirl: You check by inserting the number (in this case, 22) where the s was, and you see if it makes sense.
Also, CB didn't write -4s = -4s, he just subtracted 4s from both sides.
Good luck on your test!Posted 6 months ago # -
AHHH!!! Thanks guys loads!!!! I may just pass my test thanks to you!!!!!
Posted 6 months ago # -
Without seeing the Rambam or the acharon inside, I am assuming that hair and body do not add. Parts of the body are covered by hair, and parts by skin. The whole equals one body. Therefore the Rambam could not really mean the way you understand.
Posted 6 months ago # -
taking a break-O Man!! U got it!! thanx a TON!!
Posted 6 months ago # -
Pashuteh Yid -
The hair is not the body. The part of the body that is covered by the hair is the body, not the hair. The Ge'onim hold there are two individual halachic entities here. The Rambam holds there is one. Look up the Rambam if you want - Mikvaos 2:15.
Posted 6 months ago #
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