2.7: Exercise Supplement

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 .

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 .

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

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

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

\((16 \cdot 14) \cdot 0\)

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