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# Different numbers ...

#### Domino

##### Member

Imagine you have 2 numbers
A = 1
B = 0.99999 ... = 0 (9) infinite fraction

are these two numbers equal or not?

=======
prove mathematically

#### yidnar

##### Platinum Member
no they are not equal . .99999999999999999999999999999999999999999999 is less than 1

OP

#### Domino

##### Member
no they are not equal . .99999999999999999999999999999999999999999999 is less than 1
actually A = B

OP

#### Domino

##### Member
to solve the problem, you need to know what numbers are?
so...
Numbers are:
1. Natural
it's 1,2,3 ....
are denoted by N
------
2. Wholes
these are natural numbers + negative natural numbers + zero
this is ... -3, -2, -1, 0, 1,2,3 ...
Denoted Q
------
3. Rational numbers.
R = Q / N
a rational number can be represented as a periodic infinite fraction.
B = 0.99999 ... = 0 (9)
--------
4.irrational numbers
cannot be represented as a periodic fraction.
example
pi = 3.14 .. exponent = 2.71 ...
Besides..
there are solutions to mathematical equations that can only be represented as a converging series, but not in numbers ..

--------
5. Complex numbers ....
they are used in quantum mechanics.

OP

#### Domino

##### Member
rigorous mathematical proof:
B = 0 (9) = 3 * 0 (3) = 3 * 1/3 = 1 = A
This is the foundation of the Math of Rationals ...

#### Natural Citizen

##### Diamond Member
Really, once you understand the value of 3, 6 and 9 you've unlocked the secrets of the universe.

9 being the quick skip over into the next dimension.

But its just whuhevs.

OP

#### Domino

##### Member
Really, once you understand the value of 3, 6 and 9 you've unlocked the secrets of the universe.

9 being the quick skip over into the next dimension.

But its just whuhevs.
which is better whiskey or vodka?

#### Natural Citizen

##### Diamond Member
which is better whiskey or vodka?

I dunno, man. I don't touch the hard stuff myself.

I do like those litttle fruity things with the pink umbrellas in em, though. I dunno what they are exactly. But they're tasty. They'll creep up on you if you're not careful.

OP

#### Domino

##### Member
I dunno, man. I don't touch the hard stuff myself.

I do like those litttle fruity things with the pink umbrellas in em, though. I dunno what they are exactly. But they're tasty. They'll creep up on you if you're not careful.
I know you. Hope your leg has healed from the burn. I wish you health!

#### bluzman61

##### Diamond Member
All I have to add is ??????????????

#### QuickHitCurepon

##### Diamond Member
Which number is bigger?

37 37

Or are they equal?​

#### bluzman61

##### Diamond Member
Which number is bigger?

37 37

Or are they equal?​
The darkened 37 is bigger AND equal, of course................

#### QuickHitCurepon

##### Diamond Member

Imagine you have 2 numbers
A = 1
B = 0.99999 ... = 0 (9) infinite fraction

are these two numbers equal or not?

=======
prove mathematically
There are a number of reasons, not all of them equal.

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