Math Is Fun Forum

anky16

Member

Registered: 2011-02-13

Posts: 1

help please

how do i find a four digit whole number whose square has last four digits same as the number itself. please suggest a rational solution to it.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: help please

Hi anky16;

There is only one solution.

Welcome to the forum!

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: help please

Hi anky16,

Answer and logic is same as bobbym's.
If you want to use equations:

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"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: help please

hi  gAr

Neat solution! 

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: help please

Hi bob,

Thanks

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"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

alexa.pete9

Member

Registered: 2011-04-18

Posts: 11

Re: help please

Decimal numbers such as 3.762 are used in situations which call for more precision than whole numbers provide. As with whole numbers, a digit in a decimal number has a value which depends on the place of the digit. The places to the left of the decimal point are ones, tens, hundreds, and so on, just as with whole numbers.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: help please

Hi;

Decimal numbers such as 3.762 are used in situations which call for more precision than whole numbers provide.

That is not correct. 3.762 is not more precise than the whole number 3. The whole number or integer is exact and implies no error. 3.762 is more precise than the decimal 3.

When you do a calculation with integers such as 7 * 5 = 35, this is exact. (22 / 7 ) ( 67 / 6 ) = 35.095238 is not exact. It implies an error of ± .0000005

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

plutoman

Member

Registered: 2008-01-06

Posts: 27

Re: help please

Nice puzzle. Thanks!