Question 1

Write the Chinese numeral as a Hindu-Arabic numeral.
-

Accepted Answer

A)  820 
B)  620 
C)  920 
D)  520 
A)  820 
B)  620 
C)  920 
D)  520

Question 2

Write the Mayan numeral as a Hindu-Arabic numeral.
-

Accepted Answer

A)  1905 
B)  1805 
C)  2100 
D)  2105 
A)  1905 
B)  1805 
C)  2100 
D)  2105

Question 3

Subtract in the indicated base.
-$$\begin{array} { r } 
724_8 \
- \quad 53_8 \
\hline
\end{array}$$

Accepted Answer

A)  $712_8$ 
B) $ 632_8$ 
C)  $641_8$ 
D)  $651_8$ 
A)  $712_8$ 
B) $ 632_8$ 
C)  $641_8$ 
D)  $651_8$

Question 4

Write the numeral as an Ionic Greek numeral.
-39

Accepted Answer

A)  $\xi \theta$ 
B)  $\lambda \theta$ 
C)  $\pi \theta$ 
D)  $\kappa \theta$ 
A)  $\xi \theta$ 
B)  $\lambda \theta$ 
C)  $\pi \theta$ 
D)  $\kappa \theta$

Question 5

Write the numeral as a Hindu-Arabic numeral.
-

Accepted Answer

A)  63,320 
B)  64,320 
C)  65,320 
D)  64,420 
A)  63,320 
B)  64,320 
C)  65,320 
D)  64,420

Question 6

Write the Roman numeral as a Hindu-Arabic numeral.
-MMCCX

Accepted Answer

A)  2210 
B)  221,000 
C)  22,100 
D)  221 
A)  2210 
B)  221,000 
C)  22,100 
D)  221

Question 7

Multiply using Napierʹs rods.
-3 × 4565

Accepted Answer

A)  13,695 
B)  13,698 
C)  27,390 
D)  13,692 
A)  13,695 
B)  13,698 
C)  27,390 
D)  13,692

Question 8

Divide in the indicated base.
-

Accepted Answer

A)  $96_{11}  { R 1 } _{11}$ 
B)  ${ }  { 99 } _{11}{ R 2 } _{11}$ 
C)  ${ }  { 99 } _{11} { \mathrm { R } 1 } _{11}$ 
D)  ${ }  { 90 }  _ { 11 }  { \mathrm { R } 1 } _{11}$ 
A)  $96_{11}  { R 1 } _{11}$ 
B)  ${ }  { 99 } _{11}{ R 2 } _{11}$ 
C)  ${ }  { 99 } _{11} { \mathrm { R } 1 } _{11}$ 
D)  ${ }  { 90 }  _ { 11 }  { \mathrm { R } 1 } _{11}$

Question 9

Convert the base 10 numeral to a numeral in the base indicated.
-2874 to base 8

Accepted Answer

A) $ 4572_8$ 
B)  $5427_8$ 
C) $ 5472_8$ 
D)  $4527_8$ 
A) $ 4572_8$ 
B)  $5427_8$ 
C) $ 5472_8$ 
D)  $4527_8$

Question 10

Convert the numeral to a numeral in base 10.
-$$636_8$$

Accepted Answer

A)  644 
B)  120 
C)  3312 
D)  414 
A)  644 
B)  120 
C)  3312 
D)  414

Question 11

Write the Hindu-Arabic numeral in expanded form.
-2,351,928

Accepted Answer

A)  $\left( 2 \times 10 ^ { 6 } \right) + \left( 3 \times 10 ^ { 5 } \right) + \left( 5 \times 10 ^ { 4 } \right) + \left( 1 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 1 } \right) + \left( 8 \times 10 ^ { 0 } \right)$ 
B)  $\left( 2 \times 10 ^ { 7 } \right) + \left( 3 \times 10 ^ { 6 } \right) + \left( 5 \times 10 ^ { 5 } \right) + \left( 1 \times 10 ^ { 4 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right)$ 
C)  $\left( 2 \times 10 ^ { 7 } \right) + \left( 3 \times 10 ^ { 6 } \right) + \left( 1 \times 10 ^ { 4 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right)$ 
D)  $\left( 2 \times 10 ^ { 0 } \right) + \left( 3 \times 10 ^ { 1 } \right) + \left( 5 \times 10 ^ { 2 } \right) + \left( 1 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 5 } \right) + \left( 8 \times 10 ^ { 6 } \right)$ 
A)  $\left( 2 \times 10 ^ { 6 } \right) + \left( 3 \times 10 ^ { 5 } \right) + \left( 5 \times 10 ^ { 4 } \right) + \left( 1 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 1 } \right) + \left( 8 \times 10 ^ { 0 } \right)$ 
B)  $\left( 2 \times 10 ^ { 7 } \right) + \left( 3 \times 10 ^ { 6 } \right) + \left( 5 \times 10 ^ { 5 } \right) + \left( 1 \times 10 ^ { 4 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right)$ 
C)  $\left( 2 \times 10 ^ { 7 } \right) + \left( 3 \times 10 ^ { 6 } \right) + \left( 1 \times 10 ^ { 4 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right)$ 
D)  $\left( 2 \times 10 ^ { 0 } \right) + \left( 3 \times 10 ^ { 1 } \right) + \left( 5 \times 10 ^ { 2 } \right) + \left( 1 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 5 } \right) + \left( 8 \times 10 ^ { 6 } \right)$

Question 12

Multiply using Napierʹs rods.
-2 × 58

Accepted Answer

A)  58 
B)  114 
C)  174 
D)  116 
A)  58 
B)  114 
C)  174 
D)  116

Question 13

Convert the numeral to a numeral in base 10.
-$$64_7$$

Accepted Answer

A)  322 
B)  448 
C)  46 
D)  70 
A)  322 
B)  448 
C)  46 
D)  70

Question 14

Convert the numeral to a numeral in the base indicated.
-873110 to base 16

Accepted Answer

A)  $22 \mathrm {~B} 116$ 
B)  $2211_{16}$ 
C)  $222 \mathrm {~A} _ { 16 }$ 
D)  $221 \mathrm {~B} _ { 16 }$ 
A)  $22 \mathrm {~B} 116$ 
B)  $2211_{16}$ 
C)  $222 \mathrm {~A} _ { 16 }$ 
D)  $221 \mathrm {~B} _ { 16 }$

Question 15

Add in the indicated base.
-$$\begin{array} { r } 
323_5 \
+ \quad 40_5 \
\hline
\end{array}$$

Accepted Answer

A)  $313_5$ 
B)  $423_5$ 
C)  $413_5$ 
D)  $403_5$ 
A)  $313_5$ 
B)  $423_5$ 
C)  $413_5$ 
D)  $403_5$

Question 16

Convert the numeral to a numeral in base 10.
-$$AB42_{16}$$

Accepted Answer

A)  42,842 
B)  43,842 
C)  43,840 
D)  43,586 
A)  42,842 
B)  43,842 
C)  43,840 
D)  43,586

Question 17

Convert the base 10 numeral to a numeral in the base indicated.
-13562 to base 9

Accepted Answer

A)  $83502_9$ 
B)  $6051_9$ 
C)  $20538_9$ 
D)  $1506_9$ 
A)  $83502_9$ 
B)  $6051_9$ 
C)  $20538_9$ 
D)  $1506_9$

Question 18

Convert the numeral to a numeral in base 10.
-$$140_7$$

Accepted Answer

A)  980 
B)  35 
C)  77 
D)  539 
A)  980 
B)  35 
C)  77 
D)  539

Question 19

Use lattice multiplication to determine the product.
-9 × 215

Accepted Answer

A)  1926 
B)  1944 
C)  2150 
D)  1935 
A)  1926 
B)  1944 
C)  2150 
D)  1935

Question 20

Multiply in the indicated base.
-$\begin{array}{r}
110_{2} \
\times \quad 10_{2} \
\hline
\end{array}$

Accepted Answer

A)  $1100 _ { 2 }$ 
B)  $1011 _ { 2 }$ 
C)  $1001 _ { 2 }$ 
D)  $1101 _ { 2 }$ 
A)  $1100 _ { 2 }$ 
B)  $1011 _ { 2 }$ 
C)  $1001 _ { 2 }$ 
D)  $1101 _ { 2 }$

Write the Chinese numeral as a Hindu-Arabic numeral. -

Write the Mayan numeral as a Hindu-Arabic numeral. -

Subtract in the indicated base. - 72 -5

Write the numeral as an Ionic Greek numeral. -39

Write the numeral as a Hindu-Arabic numeral. -

Write the Roman numeral as a Hindu-Arabic numeral. -MMCCX

Multiply using Napierʹs rods. -3 × 4565

Divide in the indicated base. -

Convert the base 10 numeral to a numeral in the base indicated. -2874 to base 8

Convert the numeral to a numeral in base 10. - $636_8$

Write the Hindu-Arabic numeral in expanded form. -2,351,928

Multiply using Napierʹs rods. -2 × 58

Convert the numeral to a numeral in base 10. - $64_7$

Convert the numeral to a numeral in the base indicated. -873110 to base 16

Add in the indicated base. - 32 +4

Convert the numeral to a numeral in base 10. - $AB42_{16}$

Convert the base 10 numeral to a numeral in the base indicated. -13562 to base 9

Convert the numeral to a numeral in base 10. - $140_7$

Use lattice multiplication to determine the product. -9 × 215

Multiply in the indicated base. - 11 \times1

Critical Thinking Skills

Sets

Logic

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

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Exam 4: Systems of Numeration