Rounding in physics Vs Rounding in math [closed]
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Candice is toppling dominoes. In order for one of these dominos to topple the next one, the next domino must be exactly 1.5 times the height of the previous one. She measures the first domino and found it was 4 cm tall. These dominos are accurate up to two decimal places.
If you move the red point, you will see that the 6th domino is only 30.37 cm. Mathematically the height of the domino should be rounded up but physical limitations tell us the height should be rounded down. Why is this the case?
For more details visit the following link:Ck12-Geometric sequences
rounding-error
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
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closed as unclear what you're asking by Lord Shark the Unknown, Dietrich Burde, jgon, KReiser, Cesareo Jan 5 at 0:31
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Candice is toppling dominoes. In order for one of these dominos to topple the next one, the next domino must be exactly 1.5 times the height of the previous one. She measures the first domino and found it was 4 cm tall. These dominos are accurate up to two decimal places.
If you move the red point, you will see that the 6th domino is only 30.37 cm. Mathematically the height of the domino should be rounded up but physical limitations tell us the height should be rounded down. Why is this the case?
For more details visit the following link:Ck12-Geometric sequences
rounding-error
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
$endgroup$
closed as unclear what you're asking by Lord Shark the Unknown, Dietrich Burde, jgon, KReiser, Cesareo Jan 5 at 0:31
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
2
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Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. Soround(0.5)=0andround(1.5)=2
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– Andrei
Jan 4 at 19:30
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Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32
add a comment |
$begingroup$
Candice is toppling dominoes. In order for one of these dominos to topple the next one, the next domino must be exactly 1.5 times the height of the previous one. She measures the first domino and found it was 4 cm tall. These dominos are accurate up to two decimal places.
If you move the red point, you will see that the 6th domino is only 30.37 cm. Mathematically the height of the domino should be rounded up but physical limitations tell us the height should be rounded down. Why is this the case?
For more details visit the following link:Ck12-Geometric sequences
rounding-error
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
$endgroup$
Candice is toppling dominoes. In order for one of these dominos to topple the next one, the next domino must be exactly 1.5 times the height of the previous one. She measures the first domino and found it was 4 cm tall. These dominos are accurate up to two decimal places.
If you move the red point, you will see that the 6th domino is only 30.37 cm. Mathematically the height of the domino should be rounded up but physical limitations tell us the height should be rounded down. Why is this the case?
For more details visit the following link:Ck12-Geometric sequences
rounding-error
rounding-error
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
asked Jan 4 at 19:13
Ashraf BenmebarekAshraf Benmebarek
465
465
closed as unclear what you're asking by Lord Shark the Unknown, Dietrich Burde, jgon, KReiser, Cesareo Jan 5 at 0:31
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by Lord Shark the Unknown, Dietrich Burde, jgon, KReiser, Cesareo Jan 5 at 0:31
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
2
$begingroup$
Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. Soround(0.5)=0andround(1.5)=2
$endgroup$
– Andrei
Jan 4 at 19:30
$begingroup$
Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32
add a comment |
2
$begingroup$
Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. Soround(0.5)=0andround(1.5)=2
$endgroup$
– Andrei
Jan 4 at 19:30
$begingroup$
Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32
2
2
$begingroup$
Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. So
round(0.5)=0 and round(1.5)=2$endgroup$
– Andrei
Jan 4 at 19:30
$begingroup$
Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. So
round(0.5)=0 and round(1.5)=2$endgroup$
– Andrei
Jan 4 at 19:30
$begingroup$
Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32
$begingroup$
Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32
add a comment |
1 Answer
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oldest
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I don't think you have told us the whole problem, because as far as I know there are no "physical limitations" telling us that we should always round down, and depending on precisely what you mean by "round" it is not even clear that "mathematically the height of the domino should be rounded up".
In fact, if dominoes will only topple if the next one in sequence is exactly $1.5$ times the height of the previous one, then any kind of "rounding" will fail.
What I think is going on in your question is why the particular software you are using has rounded in the particular way it has, and we cannot answer that without knowing what software you used, and even then it is a long shot that someone here will know the guts of the program.
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
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add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I don't think you have told us the whole problem, because as far as I know there are no "physical limitations" telling us that we should always round down, and depending on precisely what you mean by "round" it is not even clear that "mathematically the height of the domino should be rounded up".
In fact, if dominoes will only topple if the next one in sequence is exactly $1.5$ times the height of the previous one, then any kind of "rounding" will fail.
What I think is going on in your question is why the particular software you are using has rounded in the particular way it has, and we cannot answer that without knowing what software you used, and even then it is a long shot that someone here will know the guts of the program.
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
$endgroup$
add a comment |
$begingroup$
I don't think you have told us the whole problem, because as far as I know there are no "physical limitations" telling us that we should always round down, and depending on precisely what you mean by "round" it is not even clear that "mathematically the height of the domino should be rounded up".
In fact, if dominoes will only topple if the next one in sequence is exactly $1.5$ times the height of the previous one, then any kind of "rounding" will fail.
What I think is going on in your question is why the particular software you are using has rounded in the particular way it has, and we cannot answer that without knowing what software you used, and even then it is a long shot that someone here will know the guts of the program.
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
$endgroup$
add a comment |
$begingroup$
I don't think you have told us the whole problem, because as far as I know there are no "physical limitations" telling us that we should always round down, and depending on precisely what you mean by "round" it is not even clear that "mathematically the height of the domino should be rounded up".
In fact, if dominoes will only topple if the next one in sequence is exactly $1.5$ times the height of the previous one, then any kind of "rounding" will fail.
What I think is going on in your question is why the particular software you are using has rounded in the particular way it has, and we cannot answer that without knowing what software you used, and even then it is a long shot that someone here will know the guts of the program.
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
$endgroup$
I don't think you have told us the whole problem, because as far as I know there are no "physical limitations" telling us that we should always round down, and depending on precisely what you mean by "round" it is not even clear that "mathematically the height of the domino should be rounded up".
In fact, if dominoes will only topple if the next one in sequence is exactly $1.5$ times the height of the previous one, then any kind of "rounding" will fail.
What I think is going on in your question is why the particular software you are using has rounded in the particular way it has, and we cannot answer that without knowing what software you used, and even then it is a long shot that someone here will know the guts of the program.
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
answered Jan 4 at 19:32
ItsJustSomeOrdinalsBroItsJustSomeOrdinalsBro
661
661
add a comment |
add a comment |
2
$begingroup$
Why do you think that one must round up or round down? It is up to a convention. In many programming languages people realized that always rounding up or always rounding down the half integers will introduce a bias. So, in python for example, if the integer below is even you round down, but if the integer below is odd, you round up. So
round(0.5)=0andround(1.5)=2$endgroup$
– Andrei
Jan 4 at 19:30
$begingroup$
Because the mathematical idea of rounding is a convention based on value accuracy, rather than the circumstances behind the arising of said values. The latter is Physics' job.
$endgroup$
– Rhys Hughes
Jan 4 at 19:32