6.12: Proficiency Exam
- Page ID
- 53020
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
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