User:Anabel.disher/Sandbox/Prob 8

Problem 8 of 2012 Grade 8 CEMC Gauss

Problem

The number $0.2012$ is between

$\text{ (A) }\ 0 and \frac{1}{10} \qquad\text{ (B) }\ 120^{\circ} \qquad\text{ (C) }\ 30^{\circ} \qquad\text{ (D) }\ 300^{\circ} \qquad\text{ (E) }\ 180^{\circ}$

Solution

Converting the fractions into decimals, we have:

$\frac{1}{10} = 0.1000$

$\frac{1}{5} = 0.2000$

$\frac{1}{4} = 0.2500$

$\frac{1}{3} = \overline{0.3333}$

$\frac{1}{2} = 0.5000$

From these numbers, we can see that $0.2012$ is between $\boxed {\textbf {(C) }

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User:Anabel.disher/Sandbox/Prob 8

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