anonymous
  • anonymous
How do I calculate the absolute uncertainty when there is an exponent? (see question 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
1) when the number is (5.3322∗ 10^-5) would the uncertainty be (1*10^-9) or (0.0001)?
anonymous
  • anonymous
2) how to calculate the absolute uncertainty when there is an exponent? For example \[(-7.5899*10^{-6}) *(22.62 \pm 0.01) \].
anonymous
  • anonymous
for example lets say u are given 10.1 you dont know if it was 10.05 to 10.15 so your uncertainty is 10.1 +/- 0.05

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anonymous
  • anonymous
We were told in class that when the uncertainty is implicit we will assume its the last digit and it will always be 1. For example: 0.0967 the uncertainty will be 0.0001.
anonymous
  • anonymous
(5.3322∗ 10^-5) same thing this part 5.3322 you dont know if it was 5.33215 to 5.33225 so 5.3322 +/- 0.00005
anonymous
  • anonymous
ok i guess that maybe fine too its like roudning up the uncertainty itself
anonymous
  • anonymous
+/- 0.00005 = +/- 0.0001
anonymous
  • anonymous
ooohhhh ok. so the uncertainty will be determined regardless of the exponent.
anonymous
  • anonymous
yeah that is right
anonymous
  • anonymous
(5.33220∗ 10^-5) if they want to go upto exponent
anonymous
  • anonymous
you have to add that 0
anonymous
  • anonymous
ok. thanks!!
anonymous
  • anonymous
sure np
anonymous
  • anonymous
for your question 2, absolute uncertainty is that the uncertainty that is based on proportion
anonymous
  • anonymous
iwhen y=x^n, is the formula n* (relative uncertainty), relative uncertainty= (uncertainty/value)
anonymous
  • anonymous
okay i see
anonymous
  • anonymous
here is a more logical approach to calculating your absolute uncertainty
anonymous
  • anonymous
suppose you have 10.0+/- 0.1 and 2.0+/- 0.2 you see 10.0*2.0 = 20.0 then you see the max and mix that happens with the uncertainty 10.1*2.2 = 20.2 + 2.02 = 22.22 and the min 9.9*1.8 = 18-0.18=17.82
anonymous
  • anonymous
(22.22-17.82)/2 would be the uncertainty?
anonymous
  • anonymous
ok
anonymous
  • anonymous
let me check how u actually find absolute uncertainties hmm
anonymous
  • anonymous
look at this http://web.uvic.ca/~jalexndr/192UncertRules.pdf
anonymous
  • anonymous
that is probably best forget what i said so far
anonymous
  • anonymous
ok. thank you so much!!

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