What is the conversion for 86.6 m to standard (base) SI units?

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SUMMARY

The conversion of 86.6 meters (m) to standard SI units is straightforward, as meters are already an SI unit. The discussion clarifies that 86.6 m can also be expressed as 8.66 x 10-2 in scientific notation. Additionally, the conversation addresses the conversion of other units, such as millimeters (mm) to meters and microvolts (µV) to volts (V), emphasizing the importance of understanding SI base units: kilogram for mass, meter for length, and second for time.

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kLPantera
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Homework Statement


Convert the following as full (decimal) numbers with standard (base) SI units:

86.6 m

The Attempt at a Solution



I thought I could just change it to 8.66x10^1 then just add the 10^-3 because of the milli to make it 8.66x10^-2. But I'm wrong so could someone help me?
 
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Did you mean 86.6 mm? I ask because 86.6 m is already expressed in meters.
 
What do you mean with: 86.6m?
Do you mean 86.6 meters?
If so, meters are SI units so you are done..

(milli is not a unit, it's a prefix of a unit, meaning a thousandth of that unit)
 
Sorry for the typo. I meant 86.6mm.
 
Is this homework where you enter your answers on the computer? If so, what exactly did you type in for your answer?
 
it's a sheet of paper. I got this one now though. 86.6/1000 = 0.0866 which is 8.66E-2.
Except now I'm getting stuck on 45 microVolts. I don't know how to convert this one. What do you convert microVolts into? Volts?
 
Yes, Volt is an SI unit.
 
kLPantera said:
it's a sheet of paper. I got this one now though. 86.6/1000 = 0.0866 which is 8.66E-2.
Which is the same as 8.66x10-2, so why did you say it was wrong initially?
 
Ok I got it. My trouble is that I'm not sure what to convert it into. Like if it's mg I have to convert it go grams right? Or if it's pectoseconds I convert it to a minute? If fentometers then just to meters?
 
  • #10
vela said:
Which is the same as 8.66x10-2, so why did you say it was wrong initially?



I said it was wrong initially because the way I derived it was wrong.
 
  • #11
kLPantera said:
Ok I got it. My trouble is that I'm not sure what to convert it into. Like if it's mg I have to convert it go grams right? Or if it's pectoseconds I convert it to a minute? If fentometers then just to meters?
No, you need to know what the base units are in SI. For mass, it's the kilogram; for length, it's the meter; and for time, it's the second. There's only one unit for each type of quantity, so all times are in terms of the second, not minutes or hours.
kLPantera said:
I said it was wrong initially because the way I derived it was wrong.
I wouldn't say what you did was wrong, at least based on how I interpret what you did. Multiplying by 10-3 is the same as dividing by 1000. It's perfectly fine to think of it this way:

86.6 mm = 8.66x101 (10-3 m) = 8.66x10-2 m

In fact, it's often how I'll convert units rather than using the relatively long-winded way they teach in school.
 
  • #12
Since the SI for time is seconds then, if it's 600 ps (pectoseconds right?) what else is there to convert to?
 
  • #13
ps stands for picoseconds. I assume you're supposed to express it in terms of seconds. Just like you converted millimeters to meters in the first problem, you want to convert picoseconds into plain old seconds.
 
  • #14
I'm just getting really frustrated because I keep confusing myself for some reason.

Thanks for the help though, much appreciated.
 

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