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Half of A plus half of B equals half of A and B together.
Is there a rule with a name for this fact?
The distributive property of multiplication over addition
It is the distributive law – remember good ole ninth grade algebra?
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 B
the Law of Association
see: http://www.mathsisfun.com/associative-commutative-distributive.html
Distributive Property.
.5 A + .5 B = .5 (A+B)
or
C*A + C*B = C*(A+B)
oooooooh….high school maaaath…..bringing back baaaaad memories……I’m outta here!
I believe its the distributive property. .5A + .5B = .5(A+B)
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.
EEEEWWW! GROSS!! lets talk abt sumfin better and more appetizing!! YUM!! I LOVE IC CREAM!! WHATS UR BET FLAVOR??
AYC is correct, the rest of us who wrote distributive are wrong.
It’s the Distributive Property.
Example: 1/2(5) + 1/2(2) = (5+2)/2. Doing that math, both sides should equal 3.5.
Association would be
(A + B) + C = A + (B + C)
==========================
Commutative is
(A + B) = C = (B + A) + C
or
A+B = B+A
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.
Mods!! I was promised there would be no math in the CR! Please delete this post immediately!
“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)
Factoring and the distributive property are the same thing. Factoring works because it uses the distributive property.
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″
🙂
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.
Who likes Mint Chocolate chip ice cream!! HEAVEN!!
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….
AHHHHH!!! LOL!!!!! omg u crack me up in 2 half! lol!!!!!
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!
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…
yitayningwat – did anyone come up with pshat in that acharon? Which acharon was it?
charlie brown – my eyes glazed over and it’s taken me 3 days to recover!
wanderingchana, LOL!! You’ll be let off the hook this time but make sure to do your math homework tomorrow!
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.
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?
supergirl613:
3s=4(s-6)+2
3s=4s-24+2
3s = 4s-22
-4s -4s
________________
-s = -22
s=22
Got it?
The idea is to simplify, simplify, simplify!
3s=4(s-6)+2
distribute the 4:
3s=4s-24+2
combine the numbers:
3s=4s-22
subtract 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= -22
divide 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 = 66
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!
Whats the Pythagorean Theorom?? OMG!!
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!
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)
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!
AHHH!!! Thanks guys loads!!!! I may just pass my test thanks to you!!!!!
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.
taking a break-O Man!! U got it!! thanx a TON!!
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