I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?
In: 3202
0.999 is considered equal to 1 in mathematics because, in the decimal number system, it is a different way to represent the same quantity as 1. In other words, 0.999 and 1 are two different decimal representations of the same number, which is exactly 1.
One way to understand this is through fractions. You can express 1 as a fraction: 1/1. Now, if you divide 1 by 3, you get the fraction 1/3, which in decimal form is 0.333 (repeating). If you multiply 0.333 by 3, you get 0.999 (repeating), which is equivalent to 1/1 or simply 1.
So, mathematically, 0.999 and 1 are two different notations for the same value, and that’s why they are considered equal.
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