A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
When you convert a fraction to a decimal sometimes the decimal repeats forever. For example 1/3 as a decimal = 0.333333333.... (or 0.3 "recurring"). Another example is 1/7=0.142857142857.... (or 0.142857 recurring).
It means the same digit or group of digits keeps appearing again and again and again and . . . . .
A palindrome reads the same forward and in reverse. This tells me that at leastthe first digit and the last digit must be the same. So it's not possible to have a6-digit palindrome "with no same digits".The largest 6-digit palindrome, with just enough repetition of digits to make it apalindrome and no more, would be 987,789 .
44? ? ?
987654
98
10,234
No.
42.21 or 84.42
84.42 or 42.21
I am less than 100 so the range is 01 - 99, but as I am divisible by 2 then I am even. As my tens digit and ones digit are the same then I am a 2 digit number so the range is now 10 - 98. The sum of my digits is 8, my tens digit and my ones digit are the same . . so the only solution is 44.