Unit conversions and significant digits

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Homework Help Overview

The discussion revolves around unit conversions and significant digits, specifically converting kilograms to grams while maintaining the correct number of significant figures.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore the implications of converting 100.0 kg to grams and how to represent significant digits correctly in the conversion. Questions arise about the validity of using scientific notation and methods to indicate significant figures, such as underlining or marking digits.

Discussion Status

Participants are actively engaging with each other's suggestions and questioning the methods for representing significant digits. There is a mix of agreement on the use of scientific notation and uncertainty about how to maintain the correct number of significant figures in larger numbers.

Contextual Notes

Some participants express confusion about the treatment of trailing zeros in scientific notation and how they relate to significant figures. The original poster's example of converting 100.0 kg to grams is central to the discussion, highlighting the challenge of maintaining significant digits during unit conversion.

jwj11
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Let's us say I was given 100.0 kg of something.
That number has 4 significant digits.
Now let's say I wanted to convert that to grams.
It would be 100,000g.

but even if I write that as 100,000. it would be 6 significant digits.
Is my only option for this case to write it in scientific notation?

SO it would be 1.000*10^5 g
Right?
 
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you can put a line above the last zero that you want to be significant
 
So just mark the second 0 from the right for 10,000 to make a mental note that it only has 4 significant digits?

But my methodology for using scientific notation is correct too right?
Could you please explain a bit more about what you meant by that dranseth.
 
jwj11 said:
Let's us say I was given 100.0 kg of something.
That number has 4 significant digits.
Now let's say I wanted to convert that to grams.
It would be 100,000g.

but even if I write that as 100,000. it would be 6 significant digits.
Is my only option for this case to write it in scientific notation?

SO it would be 1.000*10^5 g
Right?

In your calculations you can write out the 100,000 but as the number gets bigger it is best to use scientific notation so you have less digits to write out.
so 100,000 would be 1.0*10^5 g
 
jwj11 said:
So just mark the second 0 from the right for 10,000 to make a mental note that it only has 4 significant digits?

But my methodology for using scientific notation is correct too right?
Could you please explain a bit more about what you meant by that dranseth.

I'll give you an example

10,000

see where the 0 is underlined? Flip it so that line is on top of the 0 instead of on the bottom
 
rock.freak667 said:
In your calculations you can write out the 100,000 but as the number gets bigger it is best to use scientific notation so you have less digits to write out.
so 100,000 would be 1.0*10^5 g

Ok when you did that you are left with 2 significant digits.
The original was 4.
Is that ok to do it that way?
 
jwj11 said:
Ok when you did that you are left with 2 significant digits.
The original was 4.
Is that ok to do it that way?

Well my deal with scientific notation is to reduce the number of decimal places.( Not sure if I am correct with what I am about to say)

But 100,000=1*10^5
I usually regard the trailing zero's as placeholders so that if I have to write it in scientific notation I would write 1.0*10^5 to 2sf. Or else I would have to write 1.000 *10^5 which in my eyes would be pointless to do (write 1.000 that is)
 

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