Is 1+1=2, or not quite
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Is 1+1=2, or not quite

[From: ] [author: ] [Date: 11-04-23] [Hit: ]
I am a bit slow on many things, but I was wondering if 1+1 really equals 2 or 1.9999 recurring or 2.00.........
Sorry for this question, I am a bit slow on many things, but I was wondering if 1+1 really equals 2 or 1.9999 recurring or 2.00...recurring...01?

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If you are being serious (which far too many people here are certainly not), then, if you do not already know, you will eventually learn that 2, and 1.99999.... recurring, and 2.000000..... recurring are simply different ways of representing exactly the same value.

Natural numbers (or "counting numbers" like 1, 2, 3, etc) are the simplest type of number, and the results of arithmetic sums like 1 + 1 are accurate and exact.

Numbers containing decimal points are a different type of number, " rational numbers ", and are not always exact, because some numbers like ⅔, for example, cannot be represented exactly with a few decimal places (note that we are not dealing with whole numbers here, but with fractional ones.)

If you get a result like 1.999999..... to a sum, then you must have started off with decimal numbers, not with whole numbers. You must keep to the same kind of number throughout a sum, you don't mix decimals and whole numbers as a rule (although we do it every day in normal usage, just for convenience).

So we must have started with something like, for example

1.3333.... + 0.6666.... to get an answer of 1.9999......

BUT, 1.3333....... is the decimal form of 1⅓

and 0.666..... is the decimal form of ⅔

so if we write the sum in the form of fractions, it is simply

1⅓ + ⅔ which obviously = 2

which is exactly right.

The apparent confusion arises from different kinds of number, and the different ways we have of representing them.

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That's simple dude. 2=1+1

1.9- recurcing <2.

1.9-recuring + .1 recuring greather than or equal to 2.

To get even more complicated.
2/2=1
1+1=2
1+2=3
3/ number of problems just done =1
12
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