Question 1

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

Accepted Answer

A)  68 
B)  24 
C)  65 
D)  70 
A)  68 
B)  24 
C)  65 
D)  70

Question 2

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

Accepted Answer

A)  20 
B)  2000 
C)  200 
D)  20,000 
A)  20 
B)  2000 
C)  200 
D)  20,000

Question 3

Multiply in the indicated base.
-$\begin{array}{r}
223_4 \
\times \quad 2_4 \
\hline
\end{array}$

Accepted Answer

A)  $1012_4$ 
B) $ 1212_4$ 
C)  $1102_4$ 
D)  $1112_4$ 
A)  $1012_4$ 
B) $ 1212_4$ 
C)  $1102_4$ 
D)  $1112_4$

Question 4

Write the numeral as a Hindu-Arabic numeral.
-$\sigma 0 \beta$

Accepted Answer

A)  282 
B)  292 
C)  372 
D)  272 
A)  282 
B)  292 
C)  372 
D)  272

Question 5

Add in the indicated base.
-$$\begin{array} { r } 
65_7 \
+ \quad 15_7 \
\hline
\end{array}$$

Accepted Answer

A)  $36_7$ 
B)  $121_7$ 
C)  $113_7$ 
D)  $76_7$ 
A)  $36_7$ 
B)  $121_7$ 
C)  $113_7$ 
D)  $76_7$

Question 6

Write the numeral as an Egyptian numeral.
-367

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

Write the Hindu-Arabic numeral in expanded form.
-41,904

Accepted Answer

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

Question 8

Write the numeral as an Egyptian numeral.
-3067

Accepted Answer

A) 
  
B)  
  
C) 
  
D)  
  
A) 
  
B)  
  
C) 
  
D)

Question 9

Multiply using Napierʹs rods.
-6 × 1437

Accepted Answer

A)  8622 
B)  17,244 
C)  4311 
D)  8628 
A)  8622 
B)  17,244 
C)  4311 
D)  8628

Question 10

Multiply in the indicated base.
-$$\begin{array} { r } 
100_2 \
\times \quad 101 _ { 2 } \
\hline
\end{array}$$

Accepted Answer

A)  $101000 _ { 2 }$ 
B)  $10110 _ { 2 }$ 
C)  $1100 _ { 2 }$ 
D)  $10101 _ { 2 }$ 
A)  $101000 _ { 2 }$ 
B)  $10110 _ { 2 }$ 
C)  $1100 _ { 2 }$ 
D)  $10101 _ { 2 }$

Question 11

Subtract in the indicated base.
-$\begin{array}{r}
64_8 \
-\quad 36_8 \
\hline
\end{array}$

Accepted Answer

A)  $24_8$ 
B)  $26_8$ 
C) $ 21_8$ 
D)  $31_8$ 
A)  $24_8$ 
B)  $26_8$ 
C) $ 21_8$ 
D)  $31_8$

Question 12

Convert the numeral to a numeral in the base indicated.
-678410 to base 16

Accepted Answer

A)  $1 \mathrm {~A} 80_{16}$ 
B)  $1 \mathrm {~A} 08_{16}$ 
C)  $01 \mathrm {~A} 8_{16}$ 
D)  $1 \mathrm {~A} 8_{16}$ 
A)  $1 \mathrm {~A} 80_{16}$ 
B)  $1 \mathrm {~A} 08_{16}$ 
C)  $01 \mathrm {~A} 8_{16}$ 
D)  $1 \mathrm {~A} 8_{16}$

Question 13

Write the Roman numeral as a Hindu-Arabic numeral.
-$\overline{D}MMMCCCXXXIII$

Accepted Answer

A)  502,222 
B)  504,444 
C)  500,333 
D)  503,333 
A)  502,222 
B)  504,444 
C)  500,333 
D)  503,333

Question 14

Add in the indicated base.
-$$\begin{array} { r } 
3034 \
+ \quad 224 \
\hline
\end{array}$$

Accepted Answer

A)  $1031_4$ 
B)  $325_4$ 
C)  $1001 _ { 4 }$ 
D) $331_4$ 
A)  $1031_4$ 
B)  $325_4$ 
C)  $1001 _ { 4 }$ 
D) $331_4$

Question 15

Write the numeral as an Ionic Greek numeral.
-778

Accepted Answer

A)  $\pi \circ \eta$ 
B)  $\psi \circ \eta$ 
C) 
  
D) 
$\tau O \eta$ 
A)  $\pi \circ \eta$ 
B)  $\psi \circ \eta$ 
C) 
  
D) 
$\tau O \eta$

Question 16

Write the numeral as an Ionic Greek numeral.
-34,302

Accepted Answer

A)  ' $\lambda ^ { \prime } \mu \tau \beta$ 
B)  ' $\lambda ^ { \prime } \delta \tau \beta$ 
C)  $\text { ' } \lambda^{\prime} \delta \tau \kappa \beta$ 
D)  ' $k ^ { \prime } \delta \tau \beta$ 
A)  ' $\lambda ^ { \prime } \mu \tau \beta$ 
B)  ' $\lambda ^ { \prime } \delta \tau \beta$ 
C)  $\text { ' } \lambda^{\prime} \delta \tau \kappa \beta$ 
D)  ' $k ^ { \prime } \delta \tau \beta$

Question 17

Write the numeral as an Ionic Greek numeral.
-9318

Accepted Answer

A)  ' $\zeta \tau \gamma \eta$ 
B)  ' $\theta \tau เ \eta$ 
C)  ' $\zeta \tau \alpha \eta$ 
D) 
  
A)  ' $\zeta \tau \gamma \eta$ 
B)  ' $\theta \tau เ \eta$ 
C)  ' $\zeta \tau \alpha \eta$ 
D)

Question 18

Write the numeral as a Roman numeral.
-999

Accepted Answer

A)  IM 
B)  CMXCIX 
C)  MCXCIX 
D)  IXM 
A)  IM 
B)  CMXCIX 
C)  MCXCIX 
D)  IXM

Question 19

Convert the numeral to a numeral in base 10.
-$$7842_{16}$$

Accepted Answer

A)  30,785 
B)  30,786 
C)  31,782 
D)  32,654 
A)  30,785 
B)  30,786 
C)  31,782 
D)  32,654

Question 20

Multiply using duplation and mediation.
-446 × 29

Accepted Answer

A)  12,924 
B)  12,934 
C)  13,034 
D)  12,944 
A)  12,924 
B)  12,934 
C)  13,034 
D)  12,944

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

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

Multiply in the indicated base. - 22 \times

Write the numeral as a Hindu-Arabic numeral. - $\sigma 0 \beta$

Add in the indicated base. - 6 +1

Write the numeral as an Egyptian numeral. -367

Write the Hindu-Arabic numeral in expanded form. -41,904

Write the numeral as an Egyptian numeral. -3067

Multiply using Napierʹs rods. -6 × 1437

Multiply in the indicated base. - 10 \times10

Subtract in the indicated base. - 6 -3

Convert the numeral to a numeral in the base indicated. -678410 to base 16

Write the Roman numeral as a Hindu-Arabic numeral. - $\overline{D}MMMCCCXXXIII$

Add in the indicated base. - 3034 +224

Write the numeral as an Ionic Greek numeral. -778

Write the numeral as an Ionic Greek numeral. -34,302

Write the numeral as an Ionic Greek numeral. -9318

Write the numeral as a Roman numeral. -999

Convert the numeral to a numeral in base 10. - $7842_{16}$

Multiply using duplation and mediation. -446 × 29

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

Filters

Exam 4: Systems of Numeration