Hello Covers,

Two twos are five!!?! :confused:

And I am neither joking seriously,nor seriously joking. :read:

Any takers?? :argue:

/Umang :tg:

Hello Covers,

Two twos are five!!?! :confused:

And I am neither joking seriously,nor seriously joking. :read:

Any takers?? :argue:

/Umang :tg:

The statement is true for large values of 2 or small values of 5.

The statement is true for large values of 2 or small values of 5.

Hmmm..Jim,

As usual,Very fast,but-

Come again.Perhaps you missed the bus.....

/Umang ;)

Hello Covers,

Two twos are five!!?! :confused:

And I am neither joking seriously,nor seriously joking. :read:

Any takers?? :argue:

/Umang :tg:

I can take two two's ( II and II) and make (draw) the roman numeral Five out of it.

But I may be way off base.....:frust: :bonk: :frust: :bonk:

Stijloor.

Hmmm..Jim,

As usual,Very fast,but-

Come again.Perhaps you missed the bus.....

/Umang ;)

Missed it? It ran me over. It was an old math joke, that's all.

I can take two two's ( II and II) and make (draw) the roman numeral Five out of it.

But I may be way off base.....:frust: :bonk: :frust: :bonk:

Stijloor.

A lovely idea Stijloor,shifting I for /. :applause:

But as you suggested,you are way off base..

Okay,a hint.Can you mathematically prove the myth,that 'Two twos are four'?

Most probably not.

But,I have the mathematical proof,that 'Two twos are five'!!

Like to take up the challenge.

/Umang :cool:

Missed it? It ran me over. It was an old math joke, that's all.

Oh C'mon Jim.As I said earlier,its no joke.Seriously,try again.I can't imagine you surrender so easily.Some times,small surprises are beyond the stalwarts,'cause they miss the obvious.

Looking forward,to failing forward (not falling forward).


/Umang :rolleyes:

OK Umang.....

Somewhere in here (http://www.google.com/search?q=Two+two%27s+equal+five&hl=en&start=10&sa=N)?

Can you give us a hint?

Stijloor.

Two pairs of twins are 5 years old?

OK Umang.....

Somewhere in here (http://www.google.com/search?q=Two+two%27s+equal+five&hl=en&start=10&sa=N)?

Can you give us a hint?

Stijloor.
HINT:binary number system can make 2 + 2 = 10
(10 (binary) = 2 (base ten)) where 1010 (binary) = 10 (base ten)

Well. I can "prove" that 1=2, so from there I could certainly "prove" that 2+2 = 5. :-)

Tim

OK Umang.....

Somewhere in here (http://www.google.com/search?q=Two+two%27s+equal+five&hl=en&start=10&sa=N)?

Can you give us a hint?

Stijloor.

Sorry Stijloor,it is not there.And I can not give you the hint,because it will directly lead you to the right answer.

/Umang :notme:

Well. I can "prove" that 1=2We all know that.....

x = y
x2 = xy
x2-y2 = xy-y2
(x-y) (x+y) = y (x-y)
(x-y) (x+y) = y(x-y)
x+y = y
2 = 1

We all know that.....

x = y
x2 = xy
x2-y2 = xy-y2
(x-y) (x+y) = y (x-y)
(x-y) (x+y) = y(x-y)
x+y = y
2 = 1

No Sidney,you are trapped in to your own trap!

x+y=y
x=y-y
x=0
This leaves L.H.S.(equal to) R.H.S.
Hence 2 is not equal to 1

/Umang :nope:

Well. I can "prove" that 1=2, so from there I could certainly "prove" that 2+2 = 5. :-)

Tim

Welcome Tim.Just go ahead.There are a lot of ideas to unfold,lets have yours.

/Umang :tg:

Umang,

I was going to use the same one Sidney presented. If you make the first line "Let x = y = 1", then you can't say x = 0 ! :-)

Tim



PS The "proof", of course, has a flaw in the logic. In this case, the flaw is in the line

(x-y) (x+y) = y(x-y)

Since x=y, what you are actually doing is dividing both sides by zero. You knew there must have been a reason your math teachers told you never to divide by zero!

Umang,

I was going to use the same one Sidney presented. If you make the first line "Let x = y = 1", then you can't say x = 0 ! :-)

Tim



PS The "proof", of course, has a flaw in the logic. In this case, the flaw is in the line

(x-y) (x+y) = y(x-y)

Since x=y, what you are actually doing is dividing both sides by zero. You knew there must have been a reason your math teachers told you never to divide by zero!

Well Tim,It is a big if.

The LHS becomes Zero (..x 0) & RHS becomes infinity (../ 0)

Let me show you my jugglery:

Obviously there is a flaw,and you and other stalwarts will quickly detect it.Let us see the reaction of others first.

/Umang :magic:

We all know that.....

x = y
x2 = xy
x2-y2 = xy-y2
(x-y) (x+y) = y (x-y)
(x-y) (x+y) = y(x-y)
x+y = y
2 = 1

Line five is invalid, since it involves division by zero, which is undefined.

Geoff Withnell

I thought it was a political question. After all, it is an election year. :rolleyes:

Well Tim,It is a big if.

The LHS becomes Zero (..x 0) & RHS becomes infinity (../ 0)

Let me show you my jugglery:

Obviously there is a flaw,and you and other stalwarts will quickly detect it.Let us see the reaction of others first.

/Umang :magic:

At a quick glance, the third line you convert 25 x 45 down to 5 x (9x5). Should be 5^2 x (9x5) should it not?

I have a headache now.

At a quick glance, the third line you convert 25 x 45 down to 5 x (9x5). Should be 5^2 x (9x5) should it not?

Thanks Benjamin.It is 5^2,an inadvertant mistake on my part.

/Umang :(

I have a headache now.

Don't worry,the sugar coated answer will cure it. :lol:

I thought it was a political question. After all, it is an election year. :rolleyes:

You are right Jennifer,Politics is just a mathematical equation,full of plenty of permutations & combinations.You have math in politics,but can not have politics in math!! ;)

/Umang

Order of operations can give anyone a headache when it's in long equations.

I prefer math jokes that don't involve disecting an equation...like...

Why is two times 10 equal to eleven times 2?

Because two times ten is twenty and eleven times 2 is twenty too! :lol:

Order of operations can give anyone a headache when it's in long equations.

I prefer math jokes that don't involve disecting an equation...like...

Why is two times 10 equal to eleven times 2?

Because two times ten is twenty and eleven times 2 is twenty too! :lol:

AHA.Very good,you are seriously joking. :lmao:

/Umang

Hello,

Any takers to point out the fallacy of my answer?

Looking forward

/Umang :tg:

Hello,

Any takers to point out the fallacy of my answer?

Looking forward

/Umang :tg:

OK, let me take a shot at this.

(2x2-9/2)2 = (5-9/2)2
This equation is correct by itself, (-A)2 = (A)2 or (-.5)2=(.5)2

So when taking square root of the two sides, you are trying to take a square root of a negative number (-.5), which is not possible.

Very clever calculations. :applause:

:DOK, let me take a shot at this.

(2x2-9/2)2 = (5-9/2)2
This equation is correct by itself, (-A)2 = (A)2 or (-.5)2=(.5)2

So when taking square root of the two sides, you are trying to take a square root of a negative number (-.5), which is not possible.

Very clever calculations. :applause:

Sorry,you missed the target by a yard. :tg: There is nothing wrong with taking square root of a negative entity.But I commend you to being close.

The fallacy here is that,while taking square root,both the sides of the equation MUST have the same sign;either negative or positive.In my deceptive calculation,the LHS is -(1/2) & RHS is +(1/2).

/Umang :D

:D

There is nothing wrong with taking square root of a negative entity

Actually A negative number does not have a square root.
As a rule: (negative number) X (negative number) = positive number
(-a) X (-a) = a^2 or (a) X (a) = a^2
So (any number)^2 = positive number
Try taking square root of a negative number with your calculator.

Still, I loved your challenge.

Actually you can take the square root of a negative number....you just have to delve into the realm of imaginary numbers...the oh so wonderful "i" :mg:

Actually you can take the square root of a negative number....you just have to delve into the realm of imaginary numbers...the oh so wonderful "i" :mg:

I wonder if I can sell this creative math idea to the IRS. :D

Stijloor.

:lmao:

Well, I would hope the fellas are the IRS have taken basic mathematics...but you never know...

http://www.purplemath.com/modules/complex.htm

Actually A negative number does not have a square root.
As a rule: (negative number) X (negative number) = positive number
(-a) X (-a) = a^2 or (a) X (a) = a^2
So (any number)^2 = positive number
Try taking square root of a negative number with your calculator.

Still, I loved your challenge.

The calculator is not programmed to calculate complex sums.Try the same on a programmed computer..Anyway thanks for understanding and liking the challenge.Here is another-can you work out the third super power of 9.See examples in the attachment:

Actually you can take the square root of a negative number....you just have to delve into the realm of imaginary numbers...the oh so wonderful "i" :mg:

You baffle me with the clarity in your mind on the subject,it is rare.:applause:

/Umang :cool:

/Umang

Imaginary numbers, while quite useful, are not part of this questions. The trick is that the square root function has two solutions.

The square root of 1/4 is 1/2
The square root of 1/4 is ALSO -1/2

This DOES NOT MEAN that 1/2 = -1/2!

The first several lines are simply a rather round about way of writing 1/4 = 1/4! take a look ...
(4 - 9/2)^2 = 1/4
(5 - 9/2)^2 = 1/4

When you take the square root, all you can say is that
[(4 - 9/2)^2]^0.5 = EITHER +(4 - 9/2) = -1/2 OR -(4 - 9/2) = +1/2
[(5 - 9/2)^2]^0.5 = EITHER +(5 - 9/2) = +1/2 OR -(5 - 9/2) = -1/2

The natural tendency is to take the first answer from each line and falsely assume they are equal.


(NOTE: we are never taking the sqrt of a negative number, so imaginary number do not play a role here!)

Tim F

I believe that the easiest way to make 2x2=5, is to simply use any base system >/= Base6, AND have the numbering pattern as: 0, 1, 2, 3, 5, 4, 6( or 10 if in Base6). Using this theory, which was taught to me in one of my math books in high school (1978 edition I believe), not only does 2x2=5, but 2+2 also =5. :D:D:D

I'm lost!

But anyway, the easiest answer is the quote in my signature (if you can't see it here click my profile!). 2x2=5 because I say it is!

Imaginary numbers, while quite useful, are not part of this questions. The trick is that the square root function has two solutions.

The square root of 1/4 is 1/2
The square root of 1/4 is ALSO -1/2

This DOES NOT MEAN that 1/2 = -1/2!

The first several lines are simply a rather round about way of writing 1/4 = 1/4! take a look ...
(4 - 9/2)^2 = 1/4
(5 - 9/2)^2 = 1/4

When you take the square root, all you can say is that
[(4 - 9/2)^2]^0.5 = EITHER +(4 - 9/2) = -1/2 OR -(4 - 9/2) = +1/2
[(5 - 9/2)^2]^0.5 = EITHER +(5 - 9/2) = +1/2 OR -(5 - 9/2) = -1/2

The natural tendency is to take the first answer from each line and falsely assume they are equal.


(NOTE: we are never taking the sqrt of a negative number, so imaginary number do not play a role here!)

Tim F

Hello Tim,

You got the bull by the horns. Accurate analysis. :applause:

I have given another poser in my post # 33. Has any one calculated the third super power of 3 & 9 (three tier numbers).

Also, can you prove 2 is equal to 3

Umang :D

Hello Tim,

You got the bull by the horns. Accurate analysis. :applause:

I have given another poser in my post # 33. Has any one calculated the third super power of 3 & 9 (three tier numbers).

Also, can you prove 2 is equal to 3

Umang :D

Umang,

To quote the singer Paul Simon:
(From the song "Kodachrome")

"When I think back
On all the crap I learned in high school
Its a wonder
I can think at all
And though my lack of edu---cation
Hasnt hurt me none
I can read the writing on the wall"

Time for me to go back and re-learn math.....:lmao::lmao:

Stijloor.

Hello Covers,
Two twos are five!!?! /Umang

Reminds me of the old joke about hiring accountants....

From http://www.workjoke.com/projoke42.htm

There once was a business owner who was interviewing people for a division manager position.

He decided to select the individual that could answer the question "how much is 2+2?"

The engineer pulled out his slide rule and shuffled it back and forth, and finally announced, "It lies between 3.98 and 4.02".
http://www.workjoke.com/2plus2.gif

The mathematician said, "In two hours I can demonstrate it equals 4 with the following short proof."

The physicist declared, "It's in the magnitude of 1x101."

The logician paused for a long while and then said, "This problem is solvable."

The social worker said, "I don't know the answer, but I a glad that we discussed this important question.

The attorney stated, "In the case of Svenson vs. the State, 2+2 was declared to be 4."

The trader asked, "Are you buying or selling?"

The accountant looked at the business owner, then got out of his chair, went to see if anyone was listening at the door and pulled the drapes. Then he returned to the business owner, leaned across the desk and said in a low voice, "What would you like it to be?"

Here's a challenge from "Car Talk" radio program on NPR.

One of the mechanics in the garage has a son in high school who is a very bright student and very good in mathematics and computer programming. He stopped by the garage one day after school and his father asked what he was doing in school and his son told him about his latest assignment.

He is supposed to write a computer program to handle very large numbers that could not be handled on a typical hand-held calculator. The teacher told the students to use that program to determine if a certain very large number is a perfect square. (What is a perfect square? A perfect square is a whole number or an integer that is arrived at by squaring another whole number. For example, 900 is a perfect square of 30; 196 is a perfect square of 14. 625 is the perfect square of 25. So there are no fractions, no decimals, no nothing. Just whole numbers allowed.)

Each student is assigned a particular number. This kid's number is 334,912,740,121,562. And the teacher wants to know if this is a perfect square.

His father says, "That's a big number!"

And then out of the inky shadows, who appears but Crusty! And he says, "Oh, your teacher gave you an easy number."

"She did?" said the kid.

"Oh yeah. I can give you the answer right now."

The question is, what did Crusty know?

Here's a challenge from "Car Talk" radio program on NPR.

One of the mechanics in the garage has a son in high school who is a very bright student and very good in mathematics and computer programming. He stopped by the garage one day after school and his father asked what he was doing in school and his son told him about his latest assignment.

He is supposed to write a computer program to handle very large numbers that could not be handled on a typical hand-held calculator. The teacher told the students to use that program to determine if a certain very large number is a perfect square. (What is a perfect square? A perfect square is a whole number or an integer that is arrived at by squaring another whole number. For example, 900 is a perfect square of 30; 196 is a perfect square of 14. 625 is the perfect square of 25. So there are no fractions, no decimals, no nothing. Just whole numbers allowed.)

Each student is assigned a particular number. This kid's number is 334,912,740,121,562. And the teacher wants to know if this is a perfect square.

His father says, "That's a big number!"

And then out of the inky shadows, who appears but Crusty! And he says, "Oh, your teacher gave you an easy number."

"She did?" said the kid.

"Oh yeah. I can give you the answer right now."

The question is, what did Crusty know?

Simple. Crusty knew that any number ending with a 2 can not be a whole square.

Another poser - Solve it at a glance (without pen & paper) :

266450 / (10^2 + 11^2 + 12^2) (13^2 + 14^2) = ??

Umang ;)

Reminds me of the old joke about hiring accountants....

From http://www.workjoke.com/projoke42.htm

There once was a business owner who was interviewing people for a division manager position.

He decided to select the individual that could answer the question "how much is 2+2?"

The engineer pulled out his slide rule and shuffled it back and forth, and finally announced, "It lies between 3.98 and 4.02".
http://www.workjoke.com/2plus2.gif

The mathematician said, "In two hours I can demonstrate it equals 4 with the following short proof."

The physicist declared, "It's in the magnitude of 1x101."

The logician paused for a long while and then said, "This problem is solvable."

The social worker said, "I don't know the answer, but I a glad that we discussed this important question.

The attorney stated, "In the case of Svenson vs. the State, 2+2 was declared to be 4."

The trader asked, "Are you buying or selling?"

The accountant looked at the business owner, then got out of his chair, went to see if anyone was listening at the door and pulled the drapes. Then he returned to the business owner, leaned across the desk and said in a low voice, "What would you like it to be?"

Good one. :mg: :lol:

Umang

Umang,

To quote the singer Paul Simon:
(From the song "Kodachrome")

"When I think back
On all the crap I learned in high school
Its a wonder
I can think at all
And though my lack of edu---cation
Hasnt hurt me none
I can read the writing on the wall"

Time for me to go back and re-learn math.....:lmao::lmao:


Stijloor.

Good thinking. :rolleyes: It is never too late to go back to the basic .;)

While moving forward on the learning track, a wide majority fore go the basics, that is why even simple questions appear tough.

BTW, a new TV Quiz is being launched in India in which the questions of fifth standard will be asked (adults can participate) and the winner will get five crore INR!! (Indian Rupees).

Umang

Yes, 2x2=5 as

Therefor 2x2 = 4
(dividing 5 on both sides)

2x2 /5= 4/5
and 2x2/5 =0.8
multiply with 5 on both sides

then 5x2x2/5 = 0.8x5

and 2x2 = 5

Am i right

Here is your answer
www metacafe.com/watch/459955/2x2_5_just_a_good_math_trick/

Hello Tim,

You got the bull by the horns. Accurate analysis. :applause:

I have given another poser in my post # 33. Has any one calculated the third super power of 3 & 9 (three tier numbers).

Also, can you prove 2 is equal to 3

Umang :D

Since there is no response, I am providing the answer.

The third super power of 9, is a 'GIGANTIC' number which has remained un-calculated, despite the use of super computers!! (to the best of my knowledge)

2 is equal to 3 is also solved in the same way as 2x2 = 5

since 4 -10 = 9 - 15
there fore 2^2 - 2x5 = 3^2 - 3x5
there fore 2^2 - 2x2x5/2 + (5/2)^2 = 3^2 - 2x3x5/2 + (5/2)^2
there fore (2-5/2)^2 = (3-5/2)^2 take sq.root on both sides
there fore 2 -5/2 = 3 -5/2
there fore 2 = 3 QED

If you give a close look, you'll understand the 'Modus-Operandi' behind this calculation. This method can be used to prove a number equal to its next number viz: 2=3, (2x2) 4=5, (3x3) 9=10 and so on.

Let me explain the modus operandi: say we want to prove 9=10 (three threes are ten)

1. Multiply both the numbers to obtain the negative difference of the equation so 9x10=90 therefore -90 is the difference

2. Square the numbers on both sides and add (-90)
there fore 81-171 = 100-190
there fore 9^2 -9x19 = 10^2 -10x19 (now multiply and divide the neg.no.by 2)
there fore 9^2 -2x9x19/2 = 10^2 -2x10x19/2

3. Now add the positive difference(+90) plus 1/4 on both sides i.e. +90.1/4=361/4=(19/2)^2
there fore 9^2 -2x9x19/2 + (19/2)^2 = 10^2 -2x10x19/2 + (19/2)^2
there fore (9-19/2)^2 = (10-19/)^2
there fore 3x3 -19/2 = 10 -19/2
there fore 3x3 = 10 QED

In the nutshell, the whole creation is to nullify everything, leaving (-1/2)^2 = (+1/2)^2

Simple. Crusty knew that any number ending with a 2 can not be a whole square.

Another poser - Solve it at a glance (without pen & paper) :

266450 / (10^2 + 11^2 + 12^2) (13^2 + 14^2) = ??

Umang ;)

The answer is 2, easy for those who remember the strings!!

Like pythegorian number 3^2+4^2 = 5^2, there is another beautiful string :

10^2+11^2+12^2 = 13^2+14^2 The sum equals to 365 and sqr of 365 is 133225 another memorable number, multiplied by 2 gives 266450.

Hope you like the mathemagic.

Umang :D

Sorry to dissapoint you:
:magic:9^9^9=1.9662705047555291361807590852691e+77:magic:
Used the scientific calculator on windows on my super Core2Duo, 4 GB DDR supercomputer. I got the answer instantly:tg:.

and as for 2=3
check out you calculations:

since 4 -10 = 9 - 15
there fore 2^2 - 2x5 = 3^3 - 3x5
there fore 2^2 - 2x2x5/2 + (5/2)^2 = 3^3 - 2x3x5/2 + (5/2)^2
there fore (2-5/2)^2 = (3-5/2)^2 take sq.root on both sides
there fore 2 -5/2 = 3 -5/2
there fore 2 = 3 QED

The red number should be 2, not three for your next calculation to be correct. Sorry.

a^2+2ab+b^2=(a+b)^2 but a^3+2ab+b^2 doesn't equal (a+b)^2

:nopity:

Hiro,

You calculated (9^9)^9, which is much smaller than 9^(9^9).



For an easier calculation, consider using 3

(3^3)^3 = 27^3 = 19683

3^(3^3) = 3^27 =7625597484987

Sorry to dissapoint you:
:magic:9^9^9=1.9662705047555291361807590852691e+77:magic:
Used the scientific calculator on windows on my super Core2Duo, 4 GB DDR supercomputer. I got the answer instantly:tg:.

Your answer is far removed from the in-calculable number giant. Tim has already described the folly in your approach, at post # 47. :nope:

and as for 2=3
check out you calculations:

since 4 -10 = 9 - 15
there fore 2^2 - 2x5 = 3^3 - 3x5
there fore 2^2 - 2x2x5/2 + (5/2)^2 = 3^3 - 2x3x5/2 + (5/2)^2
there fore (2-5/2)^2 = (3-5/2)^2 take sq.root on both sides
there fore 2 -5/2 = 3 -5/2
there fore 2 = 3 QED

The red number should be 2, not three for your next calculation to be correct. Sorry.

You are right. It is a typo error. Thanks for correction. :agree:

a^2+2ab+b^2=(a+b)^2 but a^3+2ab+b^2 doesn't equal (a+b)^2

:nopity:

Hope you enjoyed the mathemagic

Umang

Wouldn't one two equal five if you hold it (2) in a mirror upside down ?? LOL

Decimal 2 in binary is 10.

2 2 -> 10 10

put them together you get 1010. Get the 1's complement of it you get 0101.

0101 = 5.

Wouldn't one two equal five if you hold it (2) in a mirror upside down ?? LOL

You have the answer in your identity!! Jonathan '5225'. :lol:

Umang :lmao: :biglaugh: :lmao:

In measurement in physics, the number of significant digits is usually encoded in the way a number is written. That is, unless otherwise specified, "2" has only one significant digit, which means it represents a measurement with a margin of error of 0.5, which means the actual value may lie between 1.5 and 2.5. When adding such measurements together, the margins of error are also added, so 2 ± 0.5 + 2 ± 0.5 = 4 ± 1.0 . And since "5" actually means 5 ± 0.5, these margins clearly overlap and one could jokingly argue that the numbers are the same. A popular phrasing of this statement is "2 + 2 = 5 for large values of 2 or small values of 5". When adding more precise measurements, for example 2.0 + 2.0, the margin of error is smaller and the maximum number that could be "reached" would in this case be 4.1.

In measurement in physics, the number of significant digits is usually encoded in the way a number is written. That is, unless otherwise specified, "2" has only one significant digit, which means it represents a measurement with a margin of error of 0.5, which means the actual value may lie between 1.5 and 2.5. When adding such measurements together, the margins of error are also added, so 2 ± 0.5 + 2 ± 0.5 = 4 ± 1.0 . And since "5" actually means 5 ± 0.5, these margins clearly overlap and one could jokingly argue that the numbers are the same. A popular phrasing of this statement is "2 + 2 = 5 for large values of 2 or small values of 5". When adding more precise measurements, for example 2.0 + 2.0, the margin of error is smaller and the maximum number that could be "reached" would in this case be 4.1.Wow! I like this reasoning. It reminds me of a comment by the center on my high school basketball team (when asked about his height), "I'm 5 feet, 21 inches tall, plus or minus a few inches, depending on whether I'm wearing my basketball sneakers or my big sister's high heels!"