0.99r = 1

These threads always go the same way.

People who studied maths up to GCSE = "It's not quite 1, it doesn't matter what maths trickery you use in the 'real world' it's not exactly the same, there'll always be a tiny bit left over"

People who know more maths = "They are the same".

what ever way you look at it its not "= " simple as
 
what ever way you look at it its not "= " simple as

Thing is, you seem quite narrow-minded and set in your ways and are not willing to listen to other peoples views let alone comprehend them, if you want to believe they are not the same, don't but what you are saying is false, whether you believe it or not they are equal.
 
Lol, i've always known it does = 1 ;) This is the way we figured it out:

x = 0.9999999999999etc.
10x= 9.9999999999999etc.

Take them away and you get 9x = 0.9 /9 = 1.
 
Common sense says it's not 1 but mathematically you're never going to get to the bit left over because it's an infinite number.
 
These threads always go the same way.

People who studied maths up to GCSE = "It's not quite 1, it doesn't matter what maths trickery you use in the 'real world' it's not exactly the same, there'll always be a tiny bit left over"

People who know more maths = "They are the same".

Actually, people 'who know more maths' would never use 'r' or 'recurring' because it is not a valid notation.
 
OK, so after my cycle in this morning, I've a better take on it.

Basically, the problem here is the system, or a representation problem. In this instance, we are unable to represent say 'a third' in a decimal sense correctly so we use the recurring notation. In in this instance 0.33r *3 would be the same as 1, purely based on a flaw in the system... or perhaps not a flaw, just a side effect.

We could get around this issue by using a different base (instead of base 10), but at some point we will arrive at issue's like this with other bases.

This is the reasons why we have different types of math (such as fractions), so we can represent these figures accurately, and so they are understood correctly.

So... is 0.99r the same as 1? Yes. But only because we are unable represent certain figures correctly.
 
So if a frog is in the middle of a lake and with every hop he jumps 90% of the remaining distance to the edge of the lake. Does he ever reach the other side?

Apparently yes, if he lives to be infinitely old.
 
Also because the frog is not infinitely small, so eventually the distance it has to cover will be smaller than the frog itself :p
 
There is not a special case. You just have to understand infinity.

Another example.
What is the square root of 2? You actually have sereveral ways to represent this same entity.
Then what is the square root of 2 squared? 2 obviously.
Just like (1/3) * 3 = 1

Makes more sense ta. Somebody else posted 1/3 = 0.33r which we accept but ofc 0.333r x 3 = 0.99r which leaves us in the same situation as people accept 3 x 1/3 to equal 1 but not when written as 0.33r x 3. Am I right in thinking we can't display the "missing" bit as a fraction as it can't be quantified?

I just wish I understood Maths better - I only have a GCSE as I wasn't able to do it at A-Level. I want to attend evening classes but time restraints and all that...

- GP
 
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