我想問下0/0=???

2006-10-24 5:29 am
我想知0/0係無限大or冇下定義?

回答 (4)

2006-10-24 10:43 pm
✔ 最佳答案
0/0 = meaningless
1/0 = infinity
0/1 = 0

e.g. 1

I am going to show you 2 =3 in the following proof:

2y = 3y
Dividing both sides by y
2y/y = 3y/y
2 = 3

You get such riduculus result because you have made a mistake of dividing by 0.
When you divide both sides by an unknown, you have to assume that it is not equal to 0
The correct way of doing this question is :

2y = 3y
3y - 2y =0
y = 0

Or

Assuming y is not equal to 0
Dividing both sides by y

2 = 3 Contradiction !
Therefore y = 0
(When you arrive at something contradictory at the end, it means your assumption is wrong)

e.g. 2

(y - 1) = 5(y - 1 )
Assuming (y - 1) is not equal to zero
Dividing both sides by (y - 1)

1 = 5 Contradiction !

Therefore y - 1 = 0
that is y = 1

The question can also be done in the following way:
(y - 1) = 5(y - 1 )
0 = 5 (y - 1) - ( y - 1)
4 (y - 1 ) = 0
y - 1 = 0
y = 1

AVOID DIVIDING BY 0 IN THE FUTURE
2006-10-24 5:48 am
0/0=?
因為0不能做被除數,
否則便會無意義。
所以0/0是無意義的。
2006-10-24 5:48 am
冇下定義?
參考: me
2006-10-24 5:37 am
係無,0/1=0,so 0/0=0


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