Joined Aug 2010
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Forum Thread
When rounding to two decimal places...
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?
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?
108 Comments
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Well, as NS has proven, there can be many wrong answers in Math. But there is only one correct answer to each math problem.
You are getting different answers because you are asking two different math problems.
Bolded sentence is false.
I'm not claiming to be a math genius like you, but that's cool if you choose to disregard the logic flow I provided which was extracted from your example
I am far from a math genius. However, the rules for rounding numbers are very simple and straight forward.
Your "logic flow" doesn't contain any logic.
Your "logic flow" doesn't contain any logic.
Wait, you said 5.3345 = 5.335
Stop right there-
Then you said 5.335 = 5.34
Stop again.
Look, I know the answer is 5.33
But PURE logic based ONLY on the numbers provided would also claim that 5.3345 = 5.34
How you got the numbers don't matter IMO based on stated facts that 5.3345 = 5.335 and 5.335 = 5.34
Unless of course the first 5.335 is different from the second 5.335.
1) Round 5.3345 to 3 decimal places. (answer = 5.335)
2) Take your answer from 1 and round it to two decimal places. (answer = 5.34)
3) Why are the answers not the same?
When you round 5.3345 two decimal places, the last #5 is not relevant.
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Stop right there-
Then you said 5.335 = 5.34
Stop again.
Look, I know the answer is 5.33
But PURE logic based ONLY on the numbers provided would also claim that 5.3345 = 5.34
How you got the numbers don't matter IMO based on stated facts that 5.3345 = 5.335 and 5.335 = 5.34
Unless of course the first 5.335 is different from the second 5.335.
5.3345 rounded to two decimal points equals 5.33
5.3345 rounded to three decimal points equals 5.335.
5.335 rounded to two decimal points equals 5.34
But, I'm sure that you have already figured that out by now. So, unless you want to discuss a different issue, I am done explaining this to you.
You can only round once. The reason is that each time you round, you lose some precision.
5.3345 rounded to two decimal points equals 5.33
5.3345 rounded to three decimal points equals 5.335.
5.335 rounded to two decimal points equals 5.34
But, I'm sure that you have already figured that out by now. So, unless you want to discuss a different issue, I am done explaining this to you.
I'm not quoting you I'm just taking the numbers as they read, maybe that's why you can't see my point.
If you had a problem giving you the following (not knowing anything about this thread):
5.3345 = 5.335
5.335 = 5.34
what can you infer from the equalities above? Several things right? One of them is that 5.3345 = 5.34
Don't know why that's so hard for you to understand?
If you had a problem giving you the following (not knowing anything about this thread):
5.3345 = 5.335
5.335 = 5.34
what can you infer from the equalities above? Several things right? One of them is that 5.3345 = 5.34
Don't know why that's so hard for you to understand?
And 5.335 does not equal 5.34
I don't know where you came up with that nonsense.
Everyone else is talking about rounding and you are going off somewhere else and saying that two completely different numbers equal each other.
If you had a problem giving you the following (not knowing anything about this thread):
5.3345 = 5.335
5.335 = 5.34
what can you infer from the equalities above? Several things right? One of them is that 5.3345 = 5.34
Don't know why that's so hard for you to understand?
5.3345 != 5.335
and
5.335 != 5.34
rather
5.3345 ≈ 5.335
and
5.335 ≈ 5.34
5.3345 != 5.335
and
5.335 != 5.34
rather
5.3345 ≈ 5.335
and
5.335 ≈ 5.34
Best answer yet! They are ALL just approximations.
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And 5.335 does not equal 5.34
I don't know where you came up with that nonsense.
Everyone else is talking about rounding and you are going off somewhere else and saying that two completely different numbers equal each other.
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