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Difference between revisions of "User:Anabel.disher/Sandbox/Prob 8"

(Created page with "Problem 8 of 2012 Grade 8 CEMC Gauss ==Problem== The number <math>0.2012</math> is between <math> \text{ (A) }\ 0 and \frac{1}{10} \qquad\text{ (B) }\ 120^{\circ} \qquad\text...")
 
(Tag: Removed redirect)
 
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Problem 8 of 2012 Grade 8 CEMC Gauss
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{{AoPS Wiki:Sandbox/header}}
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==Problem==
 
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The number <math>0.2012</math> is between
 
  
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<math> \text{ (A) }\ 0 and \frac{1}{10} \qquad\text{ (B) }\ 120^{\circ} \qquad\text{ (C) }\ 30^{\circ} \qquad\text{ (D) }\ 300^{\circ} \qquad\text{ (E) }\ 180^{\circ} </math>
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Article moved to [[2012 CEMC Gauss (Grade 8) Problems/Problem 8]] due to being completed
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==Solution==
 
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Converting the fractions into decimals, we have:
 
  
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<math>\frac{1}{10} = 0.1000</math>
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This problem is kind of unclear because <math>0.2012</math> is just a decimal number, but most of the answer choices are angles in degrees. The only option that’s a plain number interval is between <math>0</math> and <math>\frac{1}{10}</math>, but since <math>0.2012</math> is bigger than <math>0.1</math>, it doesn’t fit there.
  
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<math>\frac{1}{5} = 0.2000</math>
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The other choices are angles, so maybe the problem expects us to compare the decimal to the angle’s value in radians, but it doesn’t say that anywhere. Without explaining that, it’s confusing to know what the problem really wants.
  
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<math>\frac{1}{4} = 0.2500</math>
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So yeah, it feels like something is missing or left out.
  
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<math>\frac{1}{3} = \overline{0.3333}</math>
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--[[User:Aoum|Aoum]] ([[User talk:Aoum|talk]]) 19:37, 17 June 2025 (EDT)
  
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<math>\frac{1}{2} = 0.5000</math>
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:I finished the article [[User:Anabel.disher|Anabel.disher]] ([[User talk:Anabel.disher|talk]]) 13:21, 18 June 2025 (EDT)
  
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From these numbers, we can see that <math>0.2012</math> is between $\boxed {\textbf {(C) }
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:Great! If this page is no longer needed, please redirect this page and propose it for deletion. [[User:Aoum|Aoum]] ([[User talk:Aoum|talk]]) 13:39, 18 June 2025 (EDT)

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Article moved to 2012 CEMC Gauss (Grade 8) Problems/Problem 8 due to being completed

This problem is kind of unclear because $0.2012$ is just a decimal number, but most of the answer choices are angles in degrees. The only option that’s a plain number interval is between $0$ and $\frac{1}{10}$, but since $0.2012$ is bigger than $0.1$, it doesn’t fit there.

The other choices are angles, so maybe the problem expects us to compare the decimal to the angle’s value in radians, but it doesn’t say that anywhere. Without explaining that, it’s confusing to know what the problem really wants.

So yeah, it feels like something is missing or left out.

--Aoum (talk) 19:37, 17 June 2025 (EDT)

I finished the article Anabel.disher (talk) 13:21, 18 June 2025 (EDT)
Great! If this page is no longer needed, please redirect this page and propose it for deletion. Aoum (talk) 13:39, 18 June 2025 (EDT)
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