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   Oscar Cunningham (oscarcunningham@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:47 JST Oscar Cunningham

   in reply to

   • Colin the Mathmo
   • Ray Lee

   @ColinTheMathmo @4raylee In the contexts I've seen 'rounding to even' used, it's meant rounding *halves* to even as a tiebreak. Other numbers still get rounded normally.

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     Colin the Mathmo (colinthemathmo@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:48 JST Colin the Mathmo

     in reply to

     • Ray Lee

     @OscarCunningham "Rounding to Even" will mean either 44.0 or 44.2. The value 44.052 is closer to 44.0 that it is to 44.2, so I'm not sure why you say it doesn't round to 44.0.

     44.0 < 44.052 < 44.2

     Differences 0.052 and 0.148.

     @4raylee

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     Oscar Cunningham (oscarcunningham@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:49 JST Oscar Cunningham

     in reply to

     • Colin the Mathmo
     • Ray Lee

     @4raylee @ColinTheMathmo 44.052 Doesn't round to 44.0 even if you're rounding to even.

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     Ray Lee (4raylee@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:50 JST Ray Lee

     in reply to

     • Colin the Mathmo

     @ColinTheMathmo Or 44.0 if we're using the more numerically stable round-to-even 🙃

     I could see using this when tutoring a student one-on-one in trig, to help cement the concepts. I agree with the other commenter that asking for the exact angle at A would be a good thing.

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     Colin the Mathmo (colinthemathmo@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:51 JST Colin the Mathmo

     in reply to

     • Ray Lee

     @4raylee Yup, or 44.1 to 3 sf.

     Nice puzzle?

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     Ray Lee (4raylee@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:52 JST Ray Lee

     in reply to

     • Colin the Mathmo

     @ColinTheMathmo Cute. I get 44.05 (giving you an extra digit since it was a five).

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     Colin the Mathmo (colinthemathmo@mathstodon.xyz)'s status on Monday, 29-May-2023 10:19:53 JST Colin the Mathmo

     An interesting and original (I think) puzzle from Micky Bullock.

     "Last week Negligent Neil calculated length AC. He had forgotten to switch his calculator from radians to degrees but, fortunately, he still got the answer right.

     "An inky splodge has now obscured the angle at A. Negligent Neil has forgotten what his answer was for length AC, but he insists it was between 40 cm and 50 cm.

     "Find length AC to 3 significant figures."

     #MathPuzzle #MathsPuzzle #Trigonometry #Puzzle #Math #Maths