2.7: Exercise Supplement
- Page ID
- 49587
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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 Supplement
Multiplication of Whole Numbers
Exercise \(\PageIndex{1}\)
In the multiplication \(5 \times 9 = 45\), 5 and 9 are called and 45 is called the .
- Answer
-
factors; product
Exercise \(\PageIndex{2}\)
In the multiplication \(4 \times 8 = 32\), 4 and 8 are called and 32 is called the .
Concepts of Division of Whole Numbers
Exercise \(\PageIndex{3}\)
In the division \(24 \div 6 = 4\), 6 is called the , and 4 is called the .
- Answer
-
divisor; quotient
Exercise \(\PageIndex{4}\)
In the division \(36 \div 2 = 18\), 2 is called the , and 18 is called the .
Some Interesting Facts about Division
Exercise \(\PageIndex{5}\)
A number is divisible by 2 only if its last digit is .
- Answer
-
an even digit (0, 2, 4, 6, or 8)
Exercise \(\PageIndex{6}\)
A number is divisible by 3 only if of its digits is divisible by 3.
Exercise \(\PageIndex{7}\)
A number is divisible by 4 only if the rightmost two digits form a number that is .
- Answer
-
divisible by 4
Multiplication and Division of Whole Numbers ([link],[link])
Find each product or quotient.
Exercise \(\PageIndex{8}\)
\(\begin{array} {r} {24} \\ {\underline{\times \ \ 3}} \end{array}\)
Exercise \(\PageIndex{9}\)
\(\begin{array} {r} {14} \\ {\underline{\times \ \ 8}} \end{array}\)
- Answer
-
112
Exercise \(\PageIndex{10}\)
\(21 \div 7\)
Exercise \(\PageIndex{11}\)
\(35 \div 5\)
- Answer
-
7
Exercise \(\PageIndex{12}\)
\(\begin{array} {r} {36} \\ {\underline{\times 22}} \end{array}\)
Exercise \(\PageIndex{13}\)
\(\begin{array} {r} {87} \\ {\underline{\times 35}} \end{array}\)
- Answer
-
3,045
Exercise \(\PageIndex{14}\)
\(\begin{array} {r} {117} \\ {\underline{\times 42}} \end{array}\)
Exercise \(\PageIndex{15}\)
\(208 \div 52\)
- Answer
-
4
Exercise \(\PageIndex{16}\)
\(\begin{array} {r} {521} \\ {\underline{\times \ \ 87}} \end{array}\)
Exercise \(\PageIndex{17}\)
\(\begin{array} {r} {1005} \\ {\underline{\times \ \ \ \ 15}} \end{array}\)
- Answer
-
15,075
Exercise \(\PageIndex{18}\)
\(1338 \div 446\)
Exercise \(\PageIndex{19}\)
\(2814 \div 201\)
- Answer
-
14
Exercise \(\PageIndex{20}\)
\(\begin{array} {r} {5521} \\ {\underline{\times \ \ \ \ \ \ 8}} \end{array}\)
Exercise \(\PageIndex{21}\)
\(\begin{array} {r} {6016} \\ {\underline{\times \ \ \ \ \ \ 7}} \end{array}\)
- Answer
-
42,112
Exercise \(\PageIndex{22}\)
\(576 \div 24\)
Exercise \(\PageIndex{23}\)
\(3969 \div 63\)
- Answer
-
63
Exercise \(\PageIndex{24}\)
\(\begin{array} {r} {5482} \\ {\underline{\times \ \ 322}} \end{array}\)
Exercise \(\PageIndex{25}\)
\(\begin{array} {r} {9104} \\ {\underline{\times \ \ 115}} \end{array}\)
- Answer
-
1,046,960
Exercise \(\PageIndex{26}\)
\(\begin{array} {r} {6102} \\ {\underline{\times 1000}} \end{array}\)
Exercise \(\PageIndex{27}\)
\(\begin{array} {r} {10101} \\ {\underline{\times 100000}} \end{array}\)
- Answer
-
101,010,000
Exercise \(\PageIndex{28}\)
\(162,006 \div 31\)
Exercise \(\PageIndex{29}\)
\(0 \div 25\)
- Answer
-
0
Exercise \(\PageIndex{30}\)
\(25 \div 0\)
Exercise \(\PageIndex{31}\)
\(4280 \div 10\)
- Answer
-
428
Exercise \(\PageIndex{32}\)
\(2126000 \div 100\)
Exercise \(\PageIndex{33}\)
\(84 \div 15\)
- Answer
-
5 remainder 9
Exercise \(\PageIndex{34}\)
\(126 \div 4\)
Exercise \(\PageIndex{35}\)
\(424 \div 0\)
- Answer
-
not defined
Exercise \(\PageIndex{36}\)
\(1198 \div 46\)
Exercise \(\PageIndex{37}\)
\(995 \div 31\)
- Answer
-
32 remainder 3
Exercise \(\PageIndex{38}\)
\(0 \div 18\)
Exercise \(\PageIndex{39}\)
\(\begin{array} {r} {2162} \\ {\underline{\times 1421}} \end{array}\)
- Answer
-
3,072,202
Exercise \(\PageIndex{40}\)
\(0 \times 0\)
Exercise \(\PageIndex{41}\)
\(5 \times 0\)
- Answer
-
0
Exercise \(\PageIndex{42}\)
\(64 \times 1\)
Exercise \(\PageIndex{43}\)
\(1 \times 0\)
- Answer
-
0
Exercise \(\PageIndex{44}\)
\(0 \div 3\)
Exercise \(\PageIndex{45}\)
\(14 \div 0\)
- Answer
-
not defined
Exercise \(\PageIndex{46}\)
\(35 \div 1\)
Exercise \(\PageIndex{47}\)
\(1 \div 1\)
- Answer
-
1
Properties of Multiplication
Exercise \(\PageIndex{48}\)
Use the commutative property of multiplication to rewrite \(36 \times 128\).
Exercise \(\PageIndex{49}\)
Use the commutative property of multiplication to rewrite \(114 \times 226\).
- Answer
-
\(226 \times 114\)
Exercise \(\PageIndex{50}\)
Use the associative property of multiplication to rewrite \((5 \cdot 4) \cdot 8\).
Exercise \(\PageIndex{51}\)
Use the associative property of multiplication to rewrite \(16 \cdot (14 \cdot 0)\).
- Answer
-
\((16 \cdot 14) \cdot 0\)
Multiplication and Division of Whole Numbers ([link],[link])
Exercise \(\PageIndex{52}\)
A computer store is selling diskettes for $4 each. At this price, how much would 15 diskettes cost?
Exercise \(\PageIndex{53}\)
Light travels 186,000 miles in one second. How far does light travel in 23 seconds?
- Answer
-
4,278,000
Exercise \(\PageIndex{54}\)
A dinner bill for eight people comes to exactly $112. How much should each person pay if they all agree to split the bill equally?
Exercise \(\PageIndex{55}\)
Each of the 33 students in a math class buys a textbook. If the bookstore sells $1089 worth of books, what is the price of each book?
- Answer
-
$33