2.8: Proficiency Exam
- Page ID
- 49588
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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 \(\PageIndex{1}\)
In the multiplication of \(8 \times 7 = 56\), what are the names given to the 8 and 7 and the 56?
- Answer
-
8 and 7 are factors; 56 is the product
Exercise \(\PageIndex{2}\)
Multiplication is a description of what repeated process?
- Answer
-
Addition
Exercise \(\PageIndex{3}\)
In the division \(12 \div 3 = 4\), what are the names given to the 3 and the 4?
- Answer
-
3 is the divisor; 4 is the quotient
Exercise \(\PageIndex{4}\)
Name the digits that a number must end in to be divisible by 2.
- Answer
-
0, 2, 4, 6, or 8
Exercise \(\PageIndex{5}\)
Name the property of multiplication that states that the order of the factors in a multiplication can be changed without changing the product.
- Answer
-
commutative
Exercise \(\PageIndex{6}\)
Which number is called the multiplicative identity?
- Answer
-
1
For problems 7-17, find the product or quotient.
Exercise \(\PageIndex{7}\)
\(14 \times 6\)
- Answer
-
84
Exercise \(\PageIndex{8}\)
\(37 \times 0\)
- Answer
-
0
Exercise \(\PageIndex{9}\)
\(352 \times 1000\)
- Answer
-
352,000
Exercise \(\PageIndex{10}\)
\(5986 \times 70\)
- Answer
-
419,020
Exercise \(\PageIndex{11}\)
\(12 \times 12\)
- Answer
-
144
Exercise \(\PageIndex{12}\)
\(856 \div 0\)
- Answer
-
not defined
Exercise \(\PageIndex{13}\)
\(0 \div 8\)
- Answer
-
0
Exercise \(\PageIndex{14}\)
\(136 \div 8\)
- Answer
-
17
Exercise \(\PageIndex{15}\)
\(432 \div 24\)
- Answer
-
18
Exercise \(\PageIndex{16}\)
\(5286 \div 37\)
- Answer
-
142 remainder 32
Exercise \(\PageIndex{17}\)
\(211 \times 1\)
- Answer
-
211
For problems 18-20, use the numbers 216, 1,005, and 640.
Exercise \(\PageIndex{18}\)
Which numbers are divisible by 3?
- Answer
-
216; 1,005
Exercise \(\PageIndex{19}\)
Which number is divisible by 4?
- Answer
-
216; 640
Exercise \(\PageIndex{20}\)
Which number(s) is divisible by 5?
- Answer
-
1,005; 640