6.12: Proficiency Exam
- Page ID
- 53020
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Proficiency Exam
Exercise \(\PageIndex{1}\)
The decimal digit that appears three places to the right of the decimal point is in the position.
- Answer
-
thousandth
Exercise \(\PageIndex{2}\)
Write, using words, 15.036.
- Answer
-
fifteen and thirty-six thousandths
Exercise \(\PageIndex{3}\)
Write eighty-one and twelve hundredths using digits. 81.12
- Answer
-
81.12
Exercise \(\PageIndex{4}\)
Write three thousand seventeen millionths using digits.
- Answer
-
0.003017
Exercise \(\PageIndex{5}\)
Convert 0.78 to a fraction. Reduce.
- Answer
-
\(\dfrac{39}{50}\)
Exercise \(\PageIndex{6}\)
Convert 0.875 to a fraction. Reduce.
- Answer
-
\(\dfrac{7}{8}\)
Exercise \(\PageIndex{7}\)
Round 4.8063 to the nearest tenth.
- Answer
-
4.8
Exercise \(\PageIndex{8}\)
Round 187.51 to the nearest hundred.
- Answer
-
200
Exercise \(\PageIndex{9}\)
Round 0.0652 to the nearest hundredth.
- Answer
-
0.07
For problems 10-20, perform each operation.
Exercise \(\PageIndex{10}\)
\(15.026 + 5.971\)
- Answer
-
20.997
Exercise \(\PageIndex{11}\)
\(72.15 - 26.585\)
- Answer
-
45.565
Exercise \(\PageIndex{12}\)
\(16.2 \cdot 4.8\)
- Answer
-
77.76
Exercise \(\PageIndex{13}\)
\(10,000 \cdot 0.016\)
- Answer
-
16
Exercise \(\PageIndex{14}\)
\(44.64 \div 18.6\)
- Answer
-
2.4
Exercise \(\PageIndex{15}\)
\(0.21387 \div 0.19\)
- Answer
-
1.1256
Exercise \(\PageIndex{16}\)
\(0.\overline{27} - \dfrac{3}{11}\)
- Answer
-
0
Exercise \(\PageIndex{17}\)
Convert \(6 \dfrac{2}{11}\) to a decimal.
- Answer
-
\(6.\overline{18}\)
Exercise \(\PageIndex{18}\)
Convert \(0.5 \dfrac{9}{16}\) to a decimal.
- Answer
-
0.055625
Exercise \(\PageIndex{19}\)
\(3 \dfrac{1}{8} + 2.325\)
- Answer
-
5.45
Exercise \(\PageIndex{20}\)
\(\dfrac{3}{8} \times 0.5625\)
- Answer
-
\(\dfrac{27}{128}\) or 0.2109375