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**debjit625****Member**- Registered: 2012-07-23
- Posts: 89

Hi,

In a physic book I found this

Is the math correct ? as far my math goes it should be 1.02

Thanks

*Last edited by debjit625 (2013-06-11 04:04:01)*

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Well, physics books tend to round their answers very much. I think it is acceptable to do so.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 89

Well,I thought that but in that case physics books use

approx symbol in general.So I am right with the math ?

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Well, you rounded the answer too, but it is correct. That expression is approximately 1.02.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

hi debjit625

What was the topic? That will help in deciding what rounding is acceptable. The cosmological constant for example

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 89

Yes stefy I agree with you, but still we use approx symbol for that... don't we ?,in the book they directly used equal symbol.

Bob the topic was about... calculating vectors...

Their are two force vectors given,first one 70N north and another is 50N south west,so calculate the resulting force and direction.

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,269

hi debjit625

Ok, thanks. So they're saying 45.58... is approximately 45 degrees. If they're going to choose to give the answer to the nearest degree then it should be 46.

But the important thing is you know what you're doing even if they don't.

General point about rounding: Do the calculation with as much accuracy as you can throughout. Then think what is a reasonable amount of rounding and do it at the end., not during the calculation.

example of what can go wrong.

15 * √24

√24 = 4.898... round off too soon ---> 5

15 * 5 = 75

Correct value is 73.4846922834953..... so if you round that off to the nearest integer you get 73.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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