ELI5: Explain Like I'm 5

Proof that 0.999... equals 1

Hey kiddo, do you know what decimals are? They are numbers that come after the dot or period. For example, 0.5 means half of a whole number, and 0.25 means one-fourth of a whole number.

Now, let's talk about a funny decimal, 0.999.... Do you notice the three dots at the end? That means it goes on and on, forever and ever.

So, if I ask you, what's the number that's just a tiny bit smaller than 1? You might say 0.999...!

But wait a minute, if we add up 0.999... and 0.001 (that's just a tiny bit more than 0), the answer should be 1, right?

Let's see, 0.999... + 0.001 = 1.000.... But wait again, 1.000... means a whole number that doesn't have any decimals! And that's the same as 1!

So, we can say that 0.999... is actually equal to 1. They look a bit different, but they mean the same thing when it comes to numbers.

It might seem weird, but trust me, it's true! There are different ways to prove it mathematically, but the important thing is to understand the basic idea behind it. Maths can be tricky sometimes, but it's also pretty cool, don't you think?
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