looking for a math partner

[Rachel20]

Alright since it was requested I continue I shall continue for Rachel and Praus
(good one by the way with the tip )

Rachel I do notice you're very intelligent and highly trained.
Perhaps you can help me with something.
Using your method of division by way of subtracting the divisor repeatedly...

What is 8 divided by 3 using the method you describe in the quoted example above?

Wow. Thank you for thinking that about me. Wow.

I don't claim to be highly trained and stuff at all. Just wow.

I wish I could take credit for this, but there have been greats before me, who have devised this method.
Euclid for example, laid the foundation and I don't think I can claim to take his place

Euclidean algorithm - Wikipedia, the free encyclopedia

However in layman's terms, I would just say.
"Hey. Division is repetitive subtraction. For eg, if you wish to divide 8 by 2, keep subtracting 2 from 8 until you get, 0 or a number less than 2 (for whole numbers it would be 1). The number of times you subtract is your quotient, 2 is your divisor, 8 is your dividend and 0 or 1 is your remainder.

I feel flattered you ask me to show you how to divide 8 by 3. Thank you.

Here's by this method.

Step 1. Repetitively subtract 3 from 8, and the difference until you get a value less than 3
1. 8-3 = 5
2. 5-3= 2

Step 2. 2<3, hence you stop subtracting.
Step 3. Summary remainder =2, quotient (no of times you subtracted) =2,

 

[MidniteWelder]

Ah ok, now I see where you're coming from
Thank you for taking the time to explain this Rachel.

2 remainder 2 would be the answer then.
But is 2r2 a logical number able to be used and put into practical use?
For instance say I go out to dinner and was served by a waiter a hostess and a busboy.
If I wish to tip 8 dollars divided equally between 3 separate people could I write
2 remainder 2 on the tab and trust them to know how much to add to the bill?

Or would 2r2 be an arbitrary number with its relevance dependent upon a known divisor?

In what ways could I use remainders in everyday practical application?

 

[MaranathaSoonQuick]

or 2.666...and so on. If it were money it would round up to the nearest hundredth $2.67.

 

[dliz]

Math? I rely on my calculator. Haha. @___@

 

[Praus]

Pie Jesu, (×4) / Qui tollis peccata mundi, / Dona eis requiem. (×2)
Agnus Dei, (×4) / Qui tollis peccata mundi, / Dona eis requiem, (×2) / Sempiternam (×2) / Requiem.

Pious Jesu, / Who takes away the sins of the world, / Give them rest.
Lamb of God, / Who takes away the sins of the world, / Give them rest, / Everlasting / Rest.


[video=youtube;YAC9vJr--Us]http://www.youtube.com/watch?v=YAC9vJr--Us[/video]

 

[Praus]

But is 2r2 a logical number able to be used and put into practical use?
For instance say I go out to dinner and was served by a waiter a hostess and a busboy.
If I wish to tip 8 dollars divided equally between 3 separate people could I write
2 remainder 2 on the tab and trust them to know how much to add to the bill?

No, because in this case 2r2 is 2 1/3, and you want to tip $8, not $2 1/3, right? Just write $8.00 on the tip line and they'll figure it out.

Or would 2r2 be an arbitrary number with its relevance dependent upon a known divisor?

Yes, the divisor is 3 in this case.

In what ways could I use remainders in everyday practical application?

Cyclical redundancy check error detection for file distribution on the internet -> Cyclic Redundancy Check (CRC)

 

[doseofreality]

Anyone want to be a math partner with me?
Currently I'm focusing on fractions, decimals, and percents.
We can progress together.

hey im a math tutor on this site.
check it out, post problems, and people will help you

OpenStudy

also you can PM me and I can try to help you with any math questions.

 

[MidniteWelder]

No, because in this case 2r2 is 2 1/3, and you want to tip $8, not $2 1/3, right? Just write $8.00 on the tip line and they'll figure it out.


Yes, the divisor is 3 in this case.

Gah I just wanna know how to use remainders in real life applications.
I'll even keep it a secret if you tell me.

How about if i wanted to cut a piece of 8 inch wide steel plate into 3 equal sections...
Could I cut it into widths of 2r2 inches?
I don't have 2r2 on my tape measure.
So I suppose 2r2 is an arbitrary number dependent upon a divisor.

Ok...If I wish to tip only one server is that easier?
Can I still write 2r2 and it be understood if it were to be written on the tab?
2 remainder of "what" in that case?
We need to know a divisor first since the remainder must still be converted into a decimal
This seems like more work to go to in order to achieve a shortcut of subtracting several times then still having to convert a remainder into a decimal.

So being the lazy person that I am I tend to go to great lengths, time and extremes to accurately achieve something the quickest and most efficient way possible.

So why not just convert the number into a decimal to begin with.

But first we should ask, is dividing in subtracting?
Or actually in essence multiplying and adding?

I see the Euclid method illustrated as another way of arriving at an answer.
Yet it would be somewhat difficult to for instance:
Machine something to within 1 ten thousandth of an inch tolerance using a whole number with a remainder.
So within dividing using numbers, are we dividing or actually multiplying?

It is understood that within division, what actually is happening is...
---multiplying by the reciprocal of the divisor.---
when we see a number expressed as 8/3 this is shortened... what it actually is...
is 8 X 1/3
And with going back to 8 divided by 2
it is actually
8*1/2
or 8 X .5 (adding .5 to itself 8 times)

To show this let me explain further.
If we worked out 8/3 written out on paper
our first step in dividing 8 by 3...
...is we are first trying to find how many times 3 is not divided
----but multiplied into 8!!!----
we see this can be done 2 times.

.._2_
3|8
...6

So in dividing... Are we actually dividing?
Or more truly using multiplication to derive our answer.
I see we are using multiplication

another way to express this is
8*1/3
(first we must derive the decimal form of 1/3 so we may multiply it by 8 or
(add to itself 8 times) not subtract
..__.33
3|10
...-9
....1 (add zero , how many times can 3 be MULTIPLIED to go into 10 again and cont)
...10
...-9

so it comes out to be 8 X 0.333
It's not actually division going on to work this out but instead multiplication.

So back to the original example if we divide 8 by 2...... infinitely...
"using infinity as a function" of how many times we repeat the process...
We're actually taking .5 and adding it to itself 8 times to equal 4
repeat
We're actually taking .5 and adding it to itself 4 times to equal 2
repeat
we're actually taking .5 and adding it to itself 2 times to equal 1
.5 times 1 = .5
.5 times .5 =.25
etc.
the number will infinitely diminish when repeatedly multiplied by anything less than 1

but there will always be a remainder left

So by (actually multiplying 8 by .5) would we ever reach zero?
(no...theoretically close? maybe. But close enough is still not entirely accurate because when it comes to God he doesn't do things "close enough")

in the case of dividing by zero. If z=8
8/0 (again extrapolated out is)
8*1/0
since 1 cannot be divided by nothing it is still whole therefore
8*1 =8
z/0=z

As for dividing something infinitely:
We can say something is compressed into an infinitesimally small point but there is still that infinitesimally small point which is not zero.
and energy released by reverting back to the original components which made up matter in the first place we are not left with nothing or zero, there is still something.

A black hole is not turning matter into nothing or zero but instead taking matter and converting it into energy and smaller particles. Neutrinos and quarks and things like that.
---much like fuel such as gasoline combusts into heat, light, and energy and is broken up into its respective components which it was originally comprised of.

I'm simplifying here a little bit since there are so many factors to consider like how matter changes properties under extreme heat and pressures like Hydrogen being metallic at 100,000 atmospheres for instance.
Supposedly our earth has an iron/nickel core. Imagine a metallic hydrogen core and the magnetic field produced by such compared to our suns strong magnetic field which is still gaseous.

Things like black holes are still much in the theory stage where we're just scratching the surface. Some can be said to be many widths of the sun across, some are speculated to be charged black holes whereupon they repel matter, some in the form similar to a vortex like a turbine compressing everything and spitting it out into one concentrated quasar stream, some are theorized to only be 1mm wide (mini black holes) there's too many variable to pin down how any certain one behaves.
Much like Einstein's famous E=M*(c^2) was theory at first.
As smart as he was we can see that formula wasn't a truly original epiphany since it was one tweaked just slightly from the formula F=(M*V)^2
energy = mass x speed (light squared)
Force = (mass x speed object) squared
just depends on where you put the parentheses

And we must also note that even within trying to prove this theory, Einstein still needed a buddy to help him see that in order for this work he couldn't use protons. He wasn't taking into account the fact that like charged particles repel one another within the nucleus and would be diverted never causing a sustained chain reaction which is why original experiments failed.

When they started testing in the ocean though imagine if all the hydrogen was released from the ocean in a sustained atomic reaction??? Good thing God made sure it don't work like that.

Hey did you know the great pyramid Giza was built precisely at:
29.9792458° N latitude
That's accuracy to the 7th decimal place
Did you know the speed of light is
299,792,458 meters/s
I wonder if the ancients had a little bit of divine knowledge
before the Euclidians and Pythagoreans came along.
Kinda difficult to be that precise and accurate using remainders though.

here's a question :
If the diameter of the universe is 1
Then the circumference of the universe would be Pi
If the circumference of the universe is Pi then the universe is infinite.
(we have been told it is always expanding )

 

[Praus]

So being the lazy person that I am ....

Prov 18:9 Whoever is slack in his work is a brother to him who destroys.

OK, I'm working on an NT dictionary right now and I can see that you need Bible study way more than math lessons, I'll be back a little later.

 

[MidniteWelder]

Prov 18:9 Whoever is slack in his work is a brother to him who destroys.

OK, I'm working on an NT dictionary right now and I can see that you need Bible study way more than math lessons, I'll be back a little later.

Yeah I know,
God showed me math is isn't an end to understanding all things, but a means to an end.
Merely a method of providing understanding to what God already understands.
For instance a person doesn't need logic lessons to be logical.
They could have the ability inherent to them.
Or a person doesn't need to calculate eye hand coordination, muscle memory, mass, force, velocity, distance and a gravity constant to be able to throw a basketball into a hoop.
They could simply know how to do so.
The math merely helps understand how and why they are able to.
That's why I stopped letting math be my god to forgo further math lessons and catch up on bible lessons.
Because if I understand all things and hath not love...I am nothing.

 

[Rachel20]

Gah I just wanna know how to use remainders in real life applications.
I'll even keep it a secret if you tell me.

So why not just convert the number into a decimal to begin with.

But first we should ask, is dividing in subtracting?
Or actually in essence multiplying and adding?

It's clear that you haven't got your basic concepts right.


Remainders have many uses in life. If you weren't able to appreciate Praus' example of the CRC, then you should read about ALUs. Every thing boils down to adder circuits which are the heart of processors. All digital circuits and modern day technology runs on these basic concepts of mathematics.

here's a question :
If the diameter of the universe is 1
Then the circumference of the universe would be Pi
If the circumference of the universe is Pi then the universe is infinite.
(we have been told it is always expanding

diameter of the universe is 1 what? What's the unit?

(like Praus said - Bible study is more important than worrying about the circumference of the universe. You also assume the universe is circular in nature.... but anyway. I don't claim such high level knowledge about how the universe looks like)

Yeah I know,
God showed me math is isn't an end to understanding all things, but a means to an end.
Merely a method of providing understanding to what God already understands.
For instance a person doesn't need logic lessons to be logical.
They could have the ability inherent to them.
Or a person doesn't need to calculate eye hand coordination, muscle memory, mass, force, velocity, distance and a gravity constant to be able to throw a basketball into a hoop.
They could simply know how to do so.
The math merely helps understand how and why they are able to.
That's why I stopped letting math be my god to forgo further math lessons and catch up on bible lessons.
Because if I understand all things and hath not love...I am nothing.

Good for you.

Anyway as many posters in this thread have mentioned being math teachers, and being open to receiving pms for tutoring, I am sure you'll find someone to explain to you the nitty gritties of all this and clear up your concepts for you.

See you around.

 

[kenthomas27]

View attachment 71808 View attachment 71809

This thing looks like a still. We don't know math in Tennessee but we can flat make stuff that'll kill ya and this has got the makings of a fine little condenser. Bravo!

 

[MidniteWelder]

It's clear that you haven't got your basic concepts right.

And you're sure of this are you?