Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

OK! The Way I would like to put forward is...to find The Negative,The Root,and The Positive.

Below is an Example Using 100

100 Negative = 99.9

100 Root = 100 ( THE ROOT IS THE START! THE ORIGIN! ) (The Root) is Not The Square Root) And Just In case Anyone Thinks It's Teeth? Etc.

100 Positive = 100.1

A Better way of Looking at the above is 100N(99.9) 100R(100) 100P(100.1)

------------------------------------------------------------------------------------------------------------------------------------------------------------------

So Now all we have to find is...

Infinite-Recurring 0.9 Negative = ?

Infinite-Recurring 0.9 Root = ?

Infinite-Recurring 0.9 Positive = ?

A Better way of Looking at the above is IR0.9N( ? ) IR0.9R( ? ) IR0.9P( ? )

GiB.

*Last edited by GeniusIsBack (2011-01-26 01:28:54)*

Offline

**All_Is_Number****Member**- Registered: 2006-07-10
- Posts: 258

0.9999999 = 1 (exactly, not approximately). This is easily provable.

Thus, -0.9999999
= -1,

√(0.9999999
) = √(1) = 1, and

+0.9999999
= +1 = 1.

I don't understand why it would be necessary to have a new way of looking at it.

*You can shear a sheep many times but skin him only once.*

Offline

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

Before any Confusion!? ( The Root ) is Not The Square Root...

GiB.

Offline

**All_Is_Number****Member**- Registered: 2006-07-10
- Posts: 258

GeniusIsBack wrote:

Before any Confusion!? ( The Root ) is Not The Square Root...

GiB.

Any confusion is due solely to the unnecessary new terminology, not due to the fact that 0.999999 is exactly equal to 1.

Please define the terminology you are using.

*You can shear a sheep many times but skin him only once.*

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

Yes, there is no need for unproven and arbitrary functions designed to merely support your assertions.

By the way it did not support your assertions.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

Quote: ALL_Is_Number (Strange Name!) "Any confusion is due solely to the unnecessary new terminology, not due to the fact that 0.999999 is exactly equal to 1. Please define the terminology you are using. "

GiB. The Terminology is Quite simple!...

---------------------------------------------------------------------------------------------------------------------------------------------------------------------

Root

To turn up or to dig out with the snout; as, the swine roots

the earth.

Root Root, n. [Icel. r[=o]t (for vr[=o]t); akin to E. wort,

and perhaps to root to turn up the earth. See Wort.]

1. (Bot.)

(a) The underground portion of a plant, whether a true

root or a tuber, a bulb or rootstock, as in the

potato, the onion, or the sweet flag.

(b) The descending, and commonly branching, axis of a

plant, increasing in length by growth at its extremity

only, not divided into joints, leafless and without

buds, and having for its offices to fix the plant in

the earth, to supply it with moisture and soluble

matters, and sometimes to serve as a reservoir of

nutriment for future growth. A true root, however, may

never reach the ground, but may be attached to a wall,

etc., as in the ivy, or may hang loosely in the air,

as in some epiphytic orchids.

2. An edible or esculent root, especially of such plants as

produce a single root, as the beet, carrot, etc.; as, the

root crop.

3. That which resembles a root in position or function, esp.

as a source of nourishment or support; that from which

anything proceeds as if by growth or development; as, the

root of a tooth, a nail, a cancer, and the like.

Specifically:

(a) An ancestor or progenitor; and hence, an early race; a

stem.

They were the roots out of which sprang two

distinct people. --Locke.

(b) A primitive form of speech; one of the earliest terms

employed in language; a word from which other words

are formed; a radix, or radical.

(c) The cause or occasion by which anything is brought

about; the source. "She herself . . . is root of

bounty." --Chaucer.

The love of money is a root of all kinds of

evil. --1 Tim. vi.

10 (rev. Ver.)

(d) (Math.) That factor of a quantity which when

multiplied into itself will produce that quantity;

thus, 3 is a root of 9, because 3 multiplied into

itself produces 9; 3 is the cube root of 27.

(e) (Mus.) The fundamental tone of any chord; the tone

from whose harmonics, or overtones, a chord is

composed. --Busby.

(f) The lowest place, position, or part. "Deep to the

roots of hell." --Milton. "The roots of the

mountains." --Southey.

4. (Astrol.) The time which to reckon in making calculations.

When a root is of a birth yknowe [known]. --Chaucer.

Aerial roots. (a) Small roots emitted from the stem of a plant in the

open air, which, attaching themselves to the bark of

trees, etc., serve to support the plant.

(b) Large roots growing from the stem, etc., which descend

and establish themselves in the soil. See Illust. of

Mangrove.

Multiple primary root a name given to the numerous

roots emitted from the radicle in many plants, as the

squash.

Primary root the central, first-formed, main root,

from which the rootlets are given off.

Root and branch, part; wholly; completely; as, to

destroy an error root and branch.

Root-and-branch men, reformers; -- a designation

applied to the English Independents (1641). See Citation

under Radical, n., 2.

Root barnacle one of the Rhizocephala.

Root hair one of the slender, hairlike fibers found

on the surface of fresh roots. They are prolongations of

the superficial cells of the root into minute tubes.

--Gray.

Root leaf a radical leaf. See Radical, a., 3

(b) .

Root louse any plant louse, or aphid, which lives

on the roots of plants, as the Phylloxera of the

grapevine. See Phylloxera.

Root of an equation that value which, substituted

for the unknown quantity in an equation, satisfies the

equation.

Root of a nail

(Anat.), the part of a nail which is covered by the skin.

Root of a tooth the part of a tooth contained in

the socket and consisting of one or more fangs.

Secondary roots roots emitted from any part of the

plant above the radicle.

To strike root, take root}, to send forth roots; to

become fixed in the earth, etc., by a root; hence, in

general, to become planted, fixed, or established; to

increase and spread; as, an opinion takes root. "The

bended twigs take root." --Milton.

Root Root, v. i. [AS. wr[=o]tan; akin to wr[=o]t a snout,

trunk, D. wroeten to root, G. r["u]ssel snout, trunk,

proboscis, Icel. r[=o]ta to root, and perhaps to L. rodere to

gnaw (E. rodent) or to E. root, n.]

1. To turn up the earth with the snout, as swine.

2. Hence, to seek for favor or advancement by low arts or

groveling servility; to fawn servilely.

Root Root (r[=oo]t), v. i. [imp. & p. p. Rooted; p. pr. &

vb. n. Rooting.]

1. To fix the root; to enter the earth, as roots; to take

root and begin to grow.

In deep grounds the weeds root deeper. --Mortimer.

2. To be firmly fixed; to be established.

If any irregularity chanced to intervene and to

cause misappehensions, he gave them not leave to

root and fasten by concealment. --Bp. Fell.

Root Root, v. i. [Cf. Rout to roar.]

To shout for, or otherwise noisly applaud or encourage, a

contestant, as in sports; hence, to wish earnestly for the

success of some one or the happening of some event, with the

superstitious notion that this action may have efficacy; --

usually with for; as, the crowd rooted for the home team.

[Slang or Cant, U. S.]

Root Root, v. t.

1. To plant and fix deeply in the earth, or as in the earth;

to implant firmly; hence, to make deep or radical; to

establish; -- used chiefly in the participle; as, rooted

trees or forests; rooted dislike.

2. To tear up by the root; to eradicate; to extirpate; --

with up, out, or away. "I will go root away the noisome

weeds." --Shak.

The Lord rooted them out of their land . . . and

cast them into another land. --Deut. xxix.

28.

-------------------------------------------------------------------------------------------------------------------------------------------------------------------

GiB.

Now that is Clear to you!? But we are of course talking about a Math Root Maybe you Mean The square root, the cube root, or more generally the nth root of a number. ... A root system of vectors, whose elements are called roots. ...

This is where Good old Common Sense comes in! ( THE ROOT IS THE START! THE ORIGIN! ) as in the Example 100.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

What the bejeebers are you talking about?

Where did you get the one about the fangs? From the werewolf almanac? And the root louse, fascinating! I cannot stop itching since you mentioned that creature.

The Rhizocephala and the busby, I should have known.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

Hi ARB,

Let x = 0.999...

10x = 9.999...

9x = 9

x = 1

But wait! We let x = 0.999...

Therefore 0.999... = 1.

What is the problem with this proof? Which line contains the error?

Also weren't you banned before? (for trolling or insulting or something, i read the old thread)

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

http://mathisfunforum.com/profile.php?id=90430

http://mathisfunforum.com/profile.php?id=38924

http://mathisfunforum.com/profile.php?id=37599

http://mathisfunforum.com/profile.php?id=5702

http://mathisfunforum.com/profile.php?id=38724

aren't these all you?

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

Hi dolgopolov;

Welcome to the forum. How do you know that?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

hi bobbym, I visit this forum sometimes just to look at whats being talked about! and it looks like it is the same guy because he always talks about silly things (like 0.999 not being 1, proving FLT, etc)

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

Okay. I understand perfectly. Please do not let it upset you, try to enjoy the forum anyway.

**In mathematics, you don't understand things. You just get used to them.**

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

thanks!

also if you google some of his usernames you can see he post the same thing on lots of other math forum

Offline

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

So Now all we have to find is...

Infinite-Recurring 0.9 Negative = ?

Infinite-Recurring 0.9 Root = ?

Infinite-Recurring 0.9 Positive = ?

A Better way of Looking at the above is IR0.9N( ? ) IR0.9R( ? ) IR0.9P( ? )

It Helps!...if Everyone stays Focused on the Problem! Now ( ROOT ) is Fully Understood.

GiB.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

Maybe this can help. Without creating new functions. If you do think that .9999999999999... ≠ 1.

Then what do you think it equals?

**In mathematics, you don't understand things. You just get used to them.**

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

hi, can you explain what you mean?

we have proven that 0.999... = 1

you also want us to prove -0.999... = -1?

let x = -0.999...

10x = -9.999...

9x = -9

x = -1

so now -0.999... = -1

what do you mean by root? square root?

well i have just proven that 0.999... = 1 so if both are the same then square root of both should surely be the same?

also what is "IR0.9N( ? ) IR0.9R( ? ) IR0.9P( ? )"

Offline

**All_Is_Number****Member**- Registered: 2006-07-10
- Posts: 258

GeniusIsBack wrote:

Quote: ALL_Is_Number (Strange Name!) "Any confusion is due solely to the unnecessary new terminology, not due to the fact that 0.999999 is exactly equal to 1. Please define the terminology you are using. "

GiB. The Terminology is Quite simple!...

(d) (Math.) That factor of a quantity which when

multiplied into itself will produce that quantity;

thus, 3 is a root of 9, because 3 multiplied into

itself produces 9; 3 is the cube root of 27.

Root of an equation that value which, substituted

for the unknown quantity in an equation, satisfies the

equation.

I've culled the only two mathematics related definitions of *root* from your post. You've explicitly stated it is not the first, and the second doesn't fit in the context you've presented. S, again, please post a *mathematical* definition for *root* as you are attempting to use it.

*You can shear a sheep many times but skin him only once.*

Offline

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

Just For ALL_Is_Number

100 Root = 100 ( THE ROOT IS THE START! THE ORIGIN! ) (The Root) is Not The Square Root) And Just In case Anyone Thinks It's Teeth? Etc.

GiB.

Offline

**All_Is_Number****Member**- Registered: 2006-07-10
- Posts: 258

GeniusIsBack wrote:

Just For ALL_Is_Number

100 Root = 100 ( THE ROOT IS THE START! THE ORIGIN! ) (The Root) is Not The Square Root) And Just In case Anyone Thinks It's Teeth? Etc.

GiB.

That isn't a definition.

*You can shear a sheep many times but skin him only once.*

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

100 Root = 100?

by root you mean...the origin? ok, what does this have to do with the original problem?

you are telling us something about 0.999... and something about understanding the root but you are being very vague still

Offline

**GeniusIsBack****Banned**- Registered: 2011-01-06
- Posts: 56

This is Incredible!!

( THE ROOT IS WHAT YOU THINK! Infinite-Recurring 0.9 Is )

The Same as ( THE ROOT For 100 is 100 )

GiB.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

Hi guys;

It is not going to pay to press him any further on "what he has got." As you both know there is nothing to have here.

In the interest of presenting good math I am forced to say that argument is fruitless. There are many proofs that prove him wrong. If he will not look then he cannot see.

**In mathematics, you don't understand things. You just get used to them.**

Offline

**All_Is_Number****Member**- Registered: 2006-07-10
- Posts: 258

GeniusIsBack wrote:

This is Incredible!!

( THE ROOT IS WHAT YOU THINK! Infinite-Recurring 0.9 Is )

The Same as ( THE ROOT For 100 is 100 )

GiB.

How is it incredible? Do you find it strange that, upon introducing new mathematical terminology to mathematicians, that those mathematicians expect that terminology to be rigorously defined before using it?

*Last edited by All_Is_Number (2011-01-26 02:53:58)*

*You can shear a sheep many times but skin him only once.*

Offline

**dolgopolov****Member**- Registered: 2011-01-26
- Posts: 16

well, i am interested in seeing if he can provide a good argument, at least....

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,350

I am afraid it is going to be hard for him to come up with a good argument to defend his point. One just does not exist.

**In mathematics, you don't understand things. You just get used to them.**

Offline