Are decimals flawed

cheesy999 · May 8, 2011

qubit said:
eh? That makes no sense.

1.17pi etc (tpu won't let me write the symbol for some reason)

pvtbert · May 16, 2011

0,99(infinite 9's) x 10 = 9,999(infinite 9's)0 isn't it?

Bo$$ · May 16, 2011

qubit said:
eh? That makes no sense.

http://en.wikipedia.org/wiki/Pi

Bo$$ · May 16, 2011

cheesy, that would make them i little more complicated, in terms of pi

qubit · May 16, 2011

Bo$$ said:
http://en.wikipedia.org/wiki/Pi

I know what PI is. Cheesy's question made no sense and I was trying to get him to clarify it.

cheesy999 · May 16, 2011

Bo$$ said:
cheesy, that would make them i little more complicated, in terms of pi

yeah, very complicated 7/pi etc, means any addition or anything has to be done as an equation doesn't it?

Bo$$ · May 16, 2011

i mean to manuplate them without a calculator, hence the use of rounding, try doing 34dp without a calculator, it will take ages

after all this talk of maths, i must return to my M1 and C1 as my exam is on wednesday

streetfighter 2 · May 16, 2011

Interesting fact: The set of all integers is a smaller infinity than the set of all real numbers between any two integers.
(source)

EDIT:
It suddenly occurs to me that 0.9' is a rational number because it is equal to (∞-1)/∞. Furthermore (∞-1) = ∞, so 0.9' = 1. QED
It can be shown that --
1/9 = 0.1'
2/9 = 0.2'
3/9 = 0.3'
. . .
9/9 = 1
Another way it can be shown is with limits --
lim (1/9)^(1/n) = 1

In other words, 0.9' isn't a failure of decimal point numbers, it's a failure of us comprehending infinity.

Arctucas · May 16, 2011

cheesy999 said:
not a rounding error

if x = 0.9'
therefore 10x = 9.9'
10x-x=9x = 9.9' - x

therefore 9x = 9

Umm... I know I am late to the party here, but that is incorrect.

10 · 0.9 = 9 ≠ 9.9.

Therefore, 10 · 0.9 - 0.9 = 9 · 0.9 = 8.1
(10x) - (x) = (9x) = (9x)

Fourstaff · May 16, 2011

streetfighter 2 said:
Interesting fact: The set of all integers is a smaller infinity than the set of all real numbers between any two integers.
(source)

Don't make me shoot you. Infinity is hard to work with as it is without touching cardinality and cardinal numbers. But you are right, there exists different sizes of infinity, if you will. Enjoy getting mad like Cantor if you want to play with infinity.

System Name	PC
Processor	AMD Ryzen 3600
Motherboard	MSI B450 Mortar Max
Cooling	Phanteks PH-TC12DX, 3 x NZXT FN 140mm, 1x NZXT FV V2 120mm
Memory	32gb DDR4 3200mhz
Video Card(s)	ASUS R9 290 DCII-OC 4GB
Storage	corsair mp600 1TB
Display(s)	LG 27MB85Z 27" 1440p
Case	NZXT Source 340
Power Supply	Thermaltake 675w
Mouse	Logitech G500S
Keyboard	Logitech G510S
Software	Windows 8.1 64 bit

System Name	Desktop \| Server
Processor	Intel i7 2700k @ 4.6GHZ \| AMD 5350 @ 2500MHZ
Motherboard	Asus P7Z77-V Pro \| Asus AM1I-A
Cooling	Corsair H60v2 \| Stock Air
Memory	Crucial Ballistix 2x8GB CL8 1600MHZ \| Corsair Vengence 2x4GB CL9 1600MHZ
Video Card(s)	EVGA GTX 1060 6GB \| PNY GTX 750Ti
Storage	Samsung 840 EVO 250GB + 4TB WD Red \| 2x Seagate Barracuda 2TB
Display(s)	Samsung S27D390H + Asus VE276Q \| Headless
Case	Fractal Design R5 \| CM Elite 110
Audio Device(s)	Asus Xonar D1 w/Otone Stilo 5.1 and Creative Fatal1ty headset
Power Supply	EVGA Supernova 850 G2\| Corsair CX430M
Mouse	Razer Imperator 2012
Keyboard	Corsair K90
Software	Windows 7 SP1 X64 \| Ubuntu 16.04LTS

System Name	Desktop \| Server
Processor	Intel i7 2700k @ 4.6GHZ \| AMD 5350 @ 2500MHZ
Motherboard	Asus P7Z77-V Pro \| Asus AM1I-A
Cooling	Corsair H60v2 \| Stock Air
Memory	Crucial Ballistix 2x8GB CL8 1600MHZ \| Corsair Vengence 2x4GB CL9 1600MHZ
Video Card(s)	EVGA GTX 1060 6GB \| PNY GTX 750Ti
Storage	Samsung 840 EVO 250GB + 4TB WD Red \| 2x Seagate Barracuda 2TB
Display(s)	Samsung S27D390H + Asus VE276Q \| Headless
Case	Fractal Design R5 \| CM Elite 110
Audio Device(s)	Asus Xonar D1 w/Otone Stilo 5.1 and Creative Fatal1ty headset
Power Supply	EVGA Supernova 850 G2\| Corsair CX430M
Mouse	Razer Imperator 2012
Keyboard	Corsair K90
Software	Windows 7 SP1 X64 \| Ubuntu 16.04LTS

System Name	Quantumville™
Processor	Intel Core i7-2700K @ 4GHz
Motherboard	Asus P8Z68-V PRO/GEN3
Cooling	Noctua NH-D14
Memory	16GB (2 x 8GB Corsair Vengeance Black DDR3 PC3-12800 C9 1600MHz)
Video Card(s)	MSI RTX 2080 SUPER Gaming X Trio
Storage	Samsung 850 Pro 256GB \| WD Black 4TB \| WD Blue 6TB
Display(s)	ASUS ROG Strix XG27UQR (4K, 144Hz, G-SYNC compatible) \| Asus MG28UQ (4K, 60Hz, FreeSync compatible)
Case	Cooler Master HAF 922
Audio Device(s)	Creative Sound Blaster X-Fi Fatal1ty PCIe
Power Supply	Corsair AX1600i
Mouse	Microsoft Intellimouse Pro - Black Shadow
Keyboard	Yes
Software	Windows 10 Pro 64-bit

System Name	PC
Processor	AMD Ryzen 3600
Motherboard	MSI B450 Mortar Max
Cooling	Phanteks PH-TC12DX, 3 x NZXT FN 140mm, 1x NZXT FV V2 120mm
Memory	32gb DDR4 3200mhz
Video Card(s)	ASUS R9 290 DCII-OC 4GB
Storage	corsair mp600 1TB
Display(s)	LG 27MB85Z 27" 1440p
Case	NZXT Source 340
Power Supply	Thermaltake 675w
Mouse	Logitech G500S
Keyboard	Logitech G510S
Software	Windows 8.1 64 bit

Are decimals flawed

cheesy999

pvtbert

New Member

Bo$$

Lab Extraordinaire

Bo$$

Lab Extraordinaire

qubit

Overclocked quantum bit

cheesy999

Bo$$

Lab Extraordinaire

streetfighter 2

New Member

Arctucas

Fourstaff

Moderator

System Name	It's just a computer
Processor	i9-9900K Direct Die
Motherboard	eVGA Z390 Dark
Cooling	Dual D5T Vario, XSPC BayRes, Nemesis GTR560, NF-A14-iPPC3000PWM, NF-A14-iPPC2000, HK IV Pro Nickel
Memory	G.Skill F4-4500C19D-16GTZKKE or G.Skill F4-3600C16D-16GTZ or G.Skill F4-4000C19D-32GTZSW
Video Card(s)	eVGA RTX2080 FTW3 Ultra
Storage	Samsung 960 EVO M.2
Display(s)	LG 32GK650F
Case	Thermaltake Xaser VI
Audio Device(s)	Auzentech X-Meridian 7.1 2G/Z-5500
Power Supply	Seasonic Prime PX-1300
Mouse	Logitech
Keyboard	Logitech
Software	Win7 Ultimate x64 SP1

System Name	Orange! // ItchyHands
Processor	3570K // 10400F
Motherboard	ASRock z77 Extreme4 // TUF Gaming B460M-Plus
Cooling	Stock // Stock
Memory	2x4Gb 1600Mhz CL9 Corsair XMS3 // 2x8Gb 3200 Mhz XPG D41
Video Card(s)	Sapphire Nitro+ RX 570 // Asus TUF RTX 2070
Storage	Samsung 840 250Gb // SX8200 480GB
Display(s)	LG 22EA53VQ // Philips 275M QHD
Case	NZXT Phantom 410 Black/Orange // Tecware Forge M
Power Supply	Corsair CXM500w // CM MWE 600w