Given two inputs, x and y, round x to one less significant figure, then repeat until it has y number of unrounded digits left. (the decimal point does not count as a digit)

Input & Output

Input can be a combination of strings and integers, e.g. you can have the input as a string and the output as an int, or vice versa.
The input number will never have 15 digits total, and the y will never be greater than the input number's length and will always be greater than 0.

x = 32.64712, y = 3
    32.64712 -> 32.6471 -> 32.647 -> 32.65 -> 32.7  (Three unrounded digits left)

x = 87525, y = 2
    87525 -> 87530 -> 87500 -> 88000 (Two unrounded digits left)

x = 454, y = 3
    454 -> 454 (Three unrounded digits left)

(steps shown just to clarify, you only need to output the last value.)


  • Trailing 0's are allowed
  • 5's round up
  • Standard loopholes apply

This is , so you should strive for the shortest answer.

  • 1
    \$\begingroup\$ I take it numbers ending in 5 round up? If we get a result like 3.100, do we have to output the number with trailing zeroes? \$\endgroup\$
    – xnor
    Dec 12, 2018 at 4:53
  • 3
    \$\begingroup\$ The phrase "round x's second to last digit" seems ambiguous and I'd interpret it differently from what the challenge intends. I'd call it "round away x's last digit" or "round x to one less significant figure". Also, the input refers to integers, but the numbers can be non-whole reals. \$\endgroup\$
    – xnor
    Dec 12, 2018 at 5:00
  • \$\begingroup\$ @xnor Numbers ending in 5 do round up, trailing zeros are ok \$\endgroup\$
    – Gymhgy
    Dec 12, 2018 at 5:10
  • \$\begingroup\$ Ugh, JavaScript rounds 32.647 to 32.64999999999999857891 which is still less than 32.65 ;-( \$\endgroup\$
    – Neil
    Dec 12, 2018 at 9:47
  • \$\begingroup\$ For javascript, you can scale the number up so that there are no digits right of the decimal point, then divide it down after scaling(since integer math is exact) \$\endgroup\$
    – Gymhgy
    Dec 12, 2018 at 18:19

5 Answers 5


Python 2, 101 97 92 91 85 bytes

lambda x,y:reduce((lambda n,l:int(n/.1**l+.5)*.1**l),range(15,y+~len(`int(x)`),-1),x)

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Alternative : If Python's round would round "half up" instead of "half to even":

Python 2, 57 bytes

lambda x,y:reduce(round,range(15,y-len(`int(x)`)-1,-1),x)

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JavaScript (ES6), 58 bytes

<div oninput=o.textContent=f(+x.value,+n.value)><input id=x><input id=n type=number min=1 max=15 value=3><pre id=o>

Arithmetic solution. The given procedure rounds numbers up if they are greater than 4/9 of the next value, so if rounding doesn't increase the number, try again with a slightly greater value.


Perl 6, 59 bytes

{($^a,{.round(10**($++-15))}...^0|any 10 X**^30-15)[*-$^b]}

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Anonymous code block that takes two numbers and returns a number.


{                                                         }  # Anonymous code block
 (                          ...                   )  # Create a sequence
  $^a,   # With the first element as the input
      {                    }  # With each element being
       .round(10**($++-15))   # The previous element rounded by another digit
                                0                   # Until 0
                                 |                  # or
                                  any 10 X**^30-15  # Any available power of 10
                               ^  # Ignoring the last number
                                                   [*-   ]  # Index from the end
                                                      $^b   # The second number

R, 79 bytes

Unfortunately, R uses "round to even" when rounding off a .5

function(x,y){for(i in nchar(gsub('\\.','',x)):y){x=signif((x*100+1)/100,i)};x}

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Ruby, 103 bytes

This is ugly and presumably there are better ways (alas sprintf’s %g rounds to even), but it works.

g=->m,n{m.to_s.size>n ?g[(m/10.0).round,n]:m}

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