# Math Question

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Viewing 44 posts - 1 through 44 (of 44 total)
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• #600425
yitayningwut
Participant

Half of A plus half of B equals half of A and B together.

Is there a rule with a name for this fact?

#826340
nitpicker
Participant

The distributive property of multiplication over addition

#826341
The Frumguy
Participant

It is the distributive law – remember good ole ninth grade algebra?

#826342
am yisrael chai
Participant

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

#826343
DavkaNik
Member

the Law of Association

#826344
MDG
Participant

Distributive Property.

.5 A + .5 B = .5 (A+B)

or

C*A + C*B = C*(A+B)

#826345
BaalHabooze
Participant

oooooooh….high school maaaath…..bringing back baaaaad memories……I’m outta here!

#826346

I believe its the distributive property. .5A + .5B = .5(A+B)

#826347
MiddlePath
Participant

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.

#826348
GumBall
Member

EEEEWWW! GROSS!! lets talk abt sumfin better and more appetizing!! YUM!! I LOVE IC CREAM!! WHATS UR BET FLAVOR??

#826349

AYC is correct, the rest of us who wrote distributive are wrong.

#826350
Queen Bee
Member

It’s the Distributive Property.

Example: 1/2(5) + 1/2(2) = (5+2)/2. Doing that math, both sides should equal 3.5.

#826351
am yisrael chai
Participant

Association would be

(A + B) + C = A + (B + C)

==========================

Commutative is

(A + B) = C = (B + A) + C

or

A+B = B+A

#826352
nitpicker
Participant

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.

#826353
wanderingchana
Participant

Mods!! I was promised there would be no math in the CR! Please delete this post immediately!

#826354
yitayningwut
Participant

Thank you so much everyone! It came up in learning, that’s why I put it in the Beis Medrash, lol.

#826355
am yisrael chai
Participant

“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)

#826356
Sam2
Participant

Factoring and the distributive property are the same thing. Factoring works because it uses the distributive property.

#826357

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″

ðŸ™‚

#826358
am yisrael chai
Participant

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.

#826359
GumBall
Member

Who likes Mint Chocolate chip ice cream!! HEAVEN!!

#826360
am yisrael chai
Participant

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….

#826361
GumBall
Member

AHHHHH!!! LOL!!!!! omg u crack me up in 2 half! lol!!!!!

#826362

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!

#826363
am yisrael chai
Participant

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…

#826364
yitayningwut
Participant

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 ??? 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 ???. The Ge’onim held that the body and the hair are judged separately. That is, if the chatzitza covers ??? of the body but not ??? of the hair, it is a chatzitza. If it covers ??? of the hair and not ??? 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 ??? of everything has a chatzitza, it is a problem; if not – even though there is a chatzitza on ??? 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 ????? of hair and a ????? of the body but together they equal ??? of the body with the hair! Argued my Rosh Chabura, this is impossible!! No ????? plus a ????? can ever equal a ??? 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. ðŸ™‚ ðŸ™‚

#826365

yitayningwat – did anyone come up with pshat in that acharon? Which acharon was it?

#826366
wanderingchana
Participant

charlie brown – my eyes glazed over and it’s taken me 3 days to recover!

#826367
yitayningwut
Participant

Charlie – The Sfas Emes. No one had p’shat.

#826368

wanderingchana, LOL!! You’ll be let off the hook this time but make sure to do your math homework tomorrow!

#826369
Pashuteh Yid
Member

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.

#826370
supergirl613
Member

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?

#826371

supergirl613:

``` 3s=4(s-6)+2 3s=4s-24+2 3s = 4s-22 -4s -4s ________________ -s = -22 ```

`s=22`

Got it?

#826372
am yisrael chai
Participant

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

#826373
observanteen
Member

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!

#826374
GumBall
Member

Whats the Pythagorean Theorom?? OMG!!

#826375
supergirl613
Member

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!

#826376

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)

#826377
yitayningwut
Participant

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?

#826378
observanteen
Member

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.

#826379
supergirl613
Member

AHHH!!! Thanks guys loads!!!! I may just pass my test thanks to you!!!!!

#826380
Pashuteh Yid
Member

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.

#826381
GumBall
Member

taking a break-O Man!! U got it!! thanx a TON!!

#826382
yitayningwut
Participant

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.

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