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When rounding to two decimal places...

117 14 July 22, 2012 at 06:51 PM in Question
What would you round 5.3345 to?

I say 5.33 but someone else says 5.34. The complete answer to the problem changes a good amount for the different values. Anyone know the exact rules to rounding in this situation?
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Curtieson
07-23-2012 at 07:46 AM.
07-23-2012 at 07:46 AM.
Quote from NeutronStar :
5.3345

Step 1) 5.335 - 4 gets rounded up to 5 due it's neighboring 5

step 2) 5.34 - 3 gets rounded up to 4 due to it's neighboring 5

Final answer 5.34
yea, that's wrong.

Quote from Aluvus :
In conventional rounding, 0-4 round down while 5-9 round up. The are several other approaches with various advantages. Here's more than you could ever conceivably want to know about rounding: http://en.wikipedia.org/wiki/Rounding
Without reading Wiki for Rounding info...of which Chews has written half of it...

When I was rounding with a 5 I was always taught you look to the number after it, if it is >=6, you round up, <=4 you round down.

Also, I would hardly call it "rounding" when you have 0...that is just losing a decimal place of significance/precision if you will..

1.0 doesn't "round" to 1, because it IS 1.
5.54 would round to 5; 5.56 would round to 6. Basically just due to even distribution. (4 numbers go down, 4 go up and 1 can do either)
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beanqueen
07-23-2012 at 07:48 AM.
07-23-2012 at 07:48 AM.
Quote from NeutronStar :
5.3345

Step 1) 5.335 - 4 gets rounded up to 5 due it's neighboring 5

step 2) 5.34 - 3 gets rounded up to 4 due to it's neighboring 5

Final answer 5.34
If you're looking at rounding to the 100th's place you only look at the 1000th's place...you don't stack the rounding out to the 10000th's place. It should be 5.33.
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MissyMooMoo
07-23-2012 at 07:56 AM.
07-23-2012 at 07:56 AM.
Quote from NeutronStar :
5.3345

Step 1) 5.335 - 4 gets rounded up to 5 due it's neighboring 5

step 2) 5.34 - 3 gets rounded up to 4 due to it's neighboring 5

Final answer 5.34


hug It was a good try.
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beanqueen
07-23-2012 at 07:58 AM.
07-23-2012 at 07:58 AM.
Quote from Curtieson :
yea, that's wrong.



Without reading Wiki for Rounding info...of which Chews has written half of it...

When I was rounding with a 5 I was always taught you look to the number after it, if it is >=6, you round up, <=4 you round down.

Also, I would hardly call it "rounding" when you have 0...that is just losing a decimal place of significance/precision if you will..

1.0 doesn't "round" to 1, because it IS 1.
5.54 would round to 5; 5.56 would round to 6. Basically just due to even distribution. (4 numbers go down, 4 go up and 1 can do either)
Pretty sure that's wrong too because at 5.54 or 5.56 you're already over half way to 6 so if you're rounding to the 1's place you only need look at 5.5 the 100th's place doesn't affect it and it would always be 6.
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Iaaaiws
07-23-2012 at 08:03 AM.
07-23-2012 at 08:03 AM.
Quote from Curtieson :
5.54 would round to 5; 5.56 would round to 6. Basically just due to even distribution. (4 numbers go down, 4 go up and 1 can do either)
That doesn't seem correct to me.

I can see where 5.54 would round down to 5.5 and 5.56 would round up to 5.6, but if rounding to a whole number it seems like 5.54 would round up to 6 since the .54 is greater than .5. But that is back way too far in my memory to know how it is supposed to be done.

What would you round 5.55 to?

Quote from beanqueen :
Pretty sure that's wrong too because at 5.54 or 5.56 you're already over half way to 6 so if you're rounding to the 1's place you only need look at 5.5 the 100th's place doesn't affect it and it would always be 6.
Beat me to it.

Since I typed more it rounded up to a later posting time.
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Last edited by Iaaaiws July 23, 2012 at 08:04 AM.
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beanqueen
07-23-2012 at 08:15 AM.
07-23-2012 at 08:15 AM.
Quote from Iaaaiws :
Beat me to it.

Since I typed more it rounded up to a later posting time.
laugh out loud
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Frogstar
07-23-2012 at 08:27 AM.
07-23-2012 at 08:27 AM.
The plane takes off.
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idkist
07-23-2012 at 08:31 AM.
07-23-2012 at 08:31 AM.
Rounding.... who needs rounding...

I love Pi yummy
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cr8ter
07-23-2012 at 08:33 AM.
07-23-2012 at 08:33 AM.
Determine what your rounding digit is and look to the right side of it. If that digit is 5, 6, 7, 8, or 9 add one to the rounding digit and drop all digits to the right of it.
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acesmuzic | Staff
07-23-2012 at 08:46 AM.
07-23-2012 at 08:46 AM.
Quote from NeutronStar :
5.3345

Step 1) 5.335 - 4 gets rounded up to 5 due it's neighboring 5

step 2) 5.34 - 3 gets rounded up to 4 due to it's neighboring 5

Final answer 5.34
Quote from NeutronStar :
Determine what your rounding digit is and look to the right side of it. If that digit is 5, 6, 7, 8, or 9 add one to the rounding digit and drop all digits to the right of it.
final answer?
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cr8ter
07-23-2012 at 08:46 AM.
07-23-2012 at 08:46 AM.
http://www.mathsisfun.com/rounding-numbers.html




For all ages.


5.33



Can someone tell me why 5.335 rounds to 5.33 using the example where the rounding digit goes up if the one next to it is 5 or greater?
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Last edited by cr8ter July 23, 2012 at 08:54 AM.
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menace33
07-23-2012 at 08:56 AM.
07-23-2012 at 08:56 AM.
Quote from NeutronStar :
http://www.mathsisfun.com/rounding-numbers.html




For all ages.


5.33



Can someone tell me why 5.335 rounds to 5.33 using the example where the rounding digit goes up if the one next to it is 5 or greater?
Answered that already but the number is 5.3345 to start, not 5.335.
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ikonoklast
07-23-2012 at 08:59 AM.
07-23-2012 at 08:59 AM.
Always round to 42 no matter what.
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Iaaaiws
07-23-2012 at 09:07 AM.
07-23-2012 at 09:07 AM.
Quote from ikonoklast :
Always round to 42 no matter what.
Nono

The answer may always be 42, but then you have to round it so the correct final answer is 6.
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cavan
07-23-2012 at 09:13 AM.
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