The number of decimals numbers between different size number ranges

misangela4gi

misangela4gi

Answered question

2022-04-19

The number of decimals numbers between different size number ranges equal?
For instance, is it correct to say that the number of decimals Numbers between 220 and 289.999 and the number of decimal numbers between 297 and 297.999 are equal? Even though the range of the former is 70 times bigger?

Answer & Explanation

Litzy Fuentes

Litzy Fuentes

Beginner2022-04-20Added 22 answers

Step 1
Consider the intervals [a, b] and [c, d]
The function f:[a,b][c,d] given by f(x)=(cdad)x+(adbcab) is a bijection.
This means that any two closed intervals are equinumerous.
Interestingly, this means all line segments contain the same number of points, irrespective of their lengths.

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