What's the order?

Question

Below are five sequences of the digits 0-9 but each have been sorted based on a single criterion.

1) $1260459378$

2) $1742350698$

3) $0152469378$

4) $5463728190$

5) $1235904687$

Name the criteria used to sort each sequence.

Answer 1

Note 1: Number 3 was solved by hagfy in the comments.

Note 2: Where two or more digits are equal in any ordering below, the digits are sorted numerically.

1.

Sort the digits by number of letters in the spelling.

2.

Sort the digits by number of segments used in 7-segment display.

3.

Sort by number of letters in the Roman numeral representation of the digit.

4.

Sort by absolute distance from 5.
Alternatively, sort digits by number of dashes in Morse Code representation.

5.

Sort by number of dots in braille representation of the digit.