1.9: Proficiency Exam
- Page ID
- 49580
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Exercise \(\PageIndex{1}\)
What is the largest digit?
- Answer
-
9
Exercise \(\PageIndex{2}\)
In the Hindu-Arabic number system, each period has three values assigned to it. These values are the same for each period. From right to left, what are they?
- Answer
-
ones, tens, hundreds
Exercise \(\PageIndex{3}\)
In the number 42,826, how many hundreds are there?
- Answer
-
8
Exercise \(\PageIndex{4}\)
Is there a largest whole number? If so, what is it?
- Answer
-
no
Exercise \(\PageIndex{5}\)
Graph the following whole numbers on the number line: 2, 3, 5.
- Answer
-
Exercise \(\PageIndex{6}\)
Write the number 63,425 as you would read it aloud.
- Answer
-
Sixty-three thousand, four hundred twenty-five
Exercise \(\PageIndex{7}\)
Write the number eighteen million, three hundred fifty-nine thousand, seventy-two.
- Answer
-
18,359,072
Exercise \(\PageIndex{8}\)
Round 427 to the nearest hundred.
- Answer
-
400
Exercise \(\PageIndex{9}\)
Round 18,995 to the nearest ten.
- Answer
-
19,000
Exercise \(\PageIndex{10}\)
Round to the most reasonable digit: During a semester, a mathematics instructor uses 487 pieces of chalk.
- Answer
-
500
For problems 11-17, find the sums and differences.
Exercise \(\PageIndex{11}\)
\(\begin{array} {r} {627} \\ {\underline{+\ \ 48}} \end{array}\)
- Answer
-
675
Exercise \(\PageIndex{12}\)
3106 + 921
- Answer
-
4,027
Exercise \(\PageIndex{13}\)
\(\begin{array} {r} {152} \\ {\underline{+\ \ 36}} \end{array}\)
- Answer
-
188
Exercise \(\PageIndex{14}\)
\(\begin{array} {r} {5,189} \\ {6,189} \\ {4,122} \\ {\underline{+8,001}} \end{array}\)
- Answer
-
23,501
Exercise \(\PageIndex{15}\)
21 + 16 + 42 + 11
- Answer
-
90
Exercise \(\PageIndex{16}\)
520 - 216
- Answer
-
304
Exercise \(\PageIndex{17}\)
\(\begin{array} {r} {80,001} \\ {\underline{-\ \ 9,878}} \end{array}\)
- Answer
-
70,123
Exercise \(\PageIndex{18}\)
Subtract 425 from 816.
- Answer
-
391
Exercise \(\PageIndex{19}\)
Subtract 712 from the sum of 507 and 387.
- Answer
-
182
Exercise \(\PageIndex{20}\)
Is the sum of 219 and 412 the same as the sum of 412 and 219? If so, what makes it so?
- Answer
-
Yes, commutative property of addition