Question 1

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Mayan; 21 
B)  Mayan; 11 
C)  Babylonian; 31 
D)  Mayan; 16 
A)  Mayan; 21 
B)  Mayan; 11 
C)  Babylonian; 31 
D)  Mayan; 16

Question 2

Simplify the expansion.
-$\left( 7 \cdot 10 ^ { 2 } \right) + \left( 1 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Accepted Answer

A)  7019 
B)  719 
C)  710 
D)  7190 
A)  7019 
B)  719 
C)  710 
D)  7190

Question 3

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  111 
B)  1101 
C)  1100 
D)  1011 
A)  111 
B)  1101 
C)  1100 
D)  1011

Question 4

Perform the modular arithmetic operation.
-(130 + 106)(mod 9)

Accepted Answer

A) 10 
B) 2 
C) 26 
D) 1 
A) 10 
B) 2 
C) 26 
D) 1

Question 5

Decide whether the statement is true or false.
-A numeral in an even base is even if and only if its ones digit is even.

Accepted Answer

A) True 
 B)False

Question 6

Decide whether the statement is true or false.
-A base eight numeral is even if and only if its ones digit is even.

Accepted Answer

A) True 
 B)False

Question 7

Use the requested method to find the product.
-43 ·79; use Napier's rods

Accepted Answer

A) 3397 
B) 3387 
C) 3407 
D) 3497 
A) 3397 
B) 3387 
C) 3407 
D) 3497

Question 8

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Babylonian; 42 
B)  Babylonian; 24 
C)  Mayan; 19 
D)  Babylonian; 14 
A)  Babylonian; 42 
B)  Babylonian; 24 
C)  Mayan; 19 
D)  Babylonian; 14

Question 9

Find all positive solutions for the equation.
-2x≡ 1 (mod 3)

Accepted Answer

A) {2, 6, 10, 14, ...} 
B) {1, 4, 7, 10, ...} 
C) {2, 5, 8, 11, ...} 
D) None 
A) {2, 6, 10, 14, ...} 
B) {1, 4, 7, 10, ...} 
C) {2, 5, 8, 11, ...} 
D) None

Question 10

Write the number as a Greek numeral.
-31,068

Accepted Answer

A)   
B)    
C)    
D) ,$\gamma \alpha \chi \eta$ 
A)   
B)    
C)    
D) ,$\gamma \alpha \chi \eta$

Question 11

Write the number as a Babylonian numeral.
-86,520

Accepted Answer

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

Question 12

Determine the number of distinct symbols needed in base 4 .

Accepted Answer

A)  6 
B)  4 
C)  3 
D)  5 
A)  6 
B)  4 
C)  3 
D)  5

Question 13

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Babylonian; 1377 
B)  Babylonian; 3442 
C)  Babylonian; 1162 
D)  Mayan; 652 
A)  Babylonian; 1377 
B)  Babylonian; 3442 
C)  Babylonian; 1162 
D)  Mayan; 652

Question 14

Simplify the expansion.
-$\left( 4 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)$

Accepted Answer

A)  14 
B)  4 
C)  40 
D)  41 
A)  14 
B)  4 
C)  40 
D)  41

Question 15

Convert the Hindu-Arabic numeral to Egyptian form.
-2000

Accepted Answer

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

Question 16

Perform the modular arithmetic operation.
-[(4 - 9)·7](mod 5)

Accepted Answer

A) 2 
B) 3 
C) 0 
D) 4 
A) 2 
B) 3 
C) 0 
D) 4

Question 17

Convert the number to binary form.
-78 decimal

Accepted Answer

A)  $1001110 _ { \text {two } }$ 
B)  $100111 _ { \text {two } }$ 
C)  $1011100 _ { \text {two } }$ 
D)  $101110 _ { \text {two } }$ 
A)  $1001110 _ { \text {two } }$ 
B)  $100111 _ { \text {two } }$ 
C)  $1011100 _ { \text {two } }$ 
D)  $101110 _ { \text {two } }$

Question 18

Write (in the same base) the counting numbers just before and just after DB2 sixteen.

Accepted Answer

A) $\mathrm{DB}_{\text {sixteen }}, \mathrm{DB} 4_{\text {sixteen }}$ 
B)  $\mathrm { CA } _ { \text {sixteen, } } , \mathrm { CA } 3 _ { \text {sixteen } }$ 
C)  $\mathrm{DB} 1_{\text {sixteen, }} \mathrm{DB} 3_{\text {sixteen }}$ 
D)  $\mathrm { CA } _ { \text {sixteen } } , \mathrm { EC } 3 _{ \text {sixteen } }$ 
A) $\mathrm{DB}_{\text {sixteen }}, \mathrm{DB} 4_{\text {sixteen }}$ 
B)  $\mathrm { CA } _ { \text {sixteen, } } , \mathrm { CA } 3 _ { \text {sixteen } }$ 
C)  $\mathrm{DB} 1_{\text {sixteen, }} \mathrm{DB} 3_{\text {sixteen }}$ 
D)  $\mathrm { CA } _ { \text {sixteen } } , \mathrm { EC } 3 _{ \text {sixteen } }$

Question 19

Perform the operation in expanded notation. Write your answer in simplified form.
-89 - 31

Accepted Answer

A) 78 
B) 58 
C) 68 
D) 948 
A) 78 
B) 58 
C) 68 
D) 948

Question 20

Convert the number to decimal form.
-$AB42 _\text { sixteen }$

Accepted Answer

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

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Simplify the expansion. - $\left( 7 \cdot 10 ^ { 2 } \right) + \left( 1 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Convert the Egyptian numeral to Hindu-Arabic form. -

Perform the modular arithmetic operation. -(130 + 106)(mod 9)

Decide whether the statement is true or false. -A numeral in an even base is even if and only if its ones digit is even.

Decide whether the statement is true or false. -A base eight numeral is even if and only if its ones digit is even.

Use the requested method to find the product. -43 ·79; use Napier's rods

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Find all positive solutions for the equation. -2x≡ 1 (mod 3)

Write the number as a Greek numeral. -31,068

Write the number as a Babylonian numeral. -86,520

Determine the number of distinct symbols needed in base 4 .

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Simplify the expansion. - $\left( 4 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)$

Convert the Hindu-Arabic numeral to Egyptian form. -2000

Perform the modular arithmetic operation. -[(4 - 9)·7](mod 5)

Convert the number to binary form. -78 decimal

Write (in the same base) the counting numbers just before and just after DB2 sixteen.

Perform the operation in expanded notation. Write your answer in simplified form. -89 - 31

Convert the number to decimal form. - $AB42 _\text { sixteen }$

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 4: Numeration Systems

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Simplify the expansion. - (7⋅102)+(1⋅101)+(9⋅100)\left( 7 \cdot 10 ^ { 2 } \right) + \left( 1 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)(7⋅102)+(1⋅101)+(9⋅100)

Convert the Egyptian numeral to Hindu-Arabic form. -

Perform the modular arithmetic operation. -(130 + 106)(mod 9)

Decide whether the statement is true or false. -A numeral in an even base is even if and only if its ones digit is even.

Decide whether the statement is true or false. -A base eight numeral is even if and only if its ones digit is even.

Use the requested method to find the product. -43 ·79; use Napier's rods

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Find all positive solutions for the equation. -2x≡ 1 (mod 3)

Write the number as a Greek numeral. -31,068

Write the number as a Babylonian numeral. -86,520

Determine the number of distinct symbols needed in base 4 .

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Simplify the expansion. - (4⋅101)+(0⋅100)\left( 4 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)(4⋅101)+(0⋅100)

Convert the Hindu-Arabic numeral to Egyptian form. -2000

Perform the modular arithmetic operation. -[(4 - 9)·7](mod 5)

Convert the number to binary form. -78 decimal

Write (in the same base) the counting numbers just before and just after DB2 sixteen.

Perform the operation in expanded notation. Write your answer in simplified form. -89 - 31

Convert the number to decimal form. - AB42 sixteen AB42 _\text { sixteen }AB42 sixteen ​

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Simplify the expansion. - $\left( 7 \cdot 10 ^ { 2 } \right) + \left( 1 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Simplify the expansion. - $\left( 4 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)$

Convert the number to decimal form. - $AB42 _\text { sixteen }$