Question 1

Write the number in expanded form.
-1,000

Accepted Answer

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

Question 2

Perform the addition or subtraction and give your answer in Hindu-Arabic form.
-

Accepted Answer

A)  4291 
B)  4301 
C)  4201 
D)  3391 
A)  4291 
B)  4301 
C)  4201 
D)  3391

Question 3

Convert the number to binary form.
-$6 \mathrm{BD}_{\text {sixteen }}$

Accepted Answer

A)  $10011011101 _ { \text {two } }$ 
B)  $10110101110 _ { \text {two } }$ 
C)  $11010111011 _ { \text {two } }$ 
D)  $11010111101 _ { \text {two } }$ 
A)  $10011011101 _ { \text {two } }$ 
B)  $10110101110 _ { \text {two } }$ 
C)  $11010111011 _ { \text {two } }$ 
D)  $11010111101 _ { \text {two } }$

Question 4

Convert the Chinese numeral to Hindu-Arabic form.
-

Accepted Answer

A)  3068 
B)  368 
C)  356 
D)  367 
A)  3068 
B)  368 
C)  356 
D)  367

Question 5

Convert the Hindu-Arabic numeral to Chinese.
-85

Accepted Answer

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

Question 6

Convert the Hindu-Arabic numeral to Chinese.
-$367$

Accepted Answer

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

Question 7

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  3607 
B)  367 
C)  3067 
D)  3670 
A)  3607 
B)  367 
C)  3067 
D)  3670

Question 8

Write the number as a Babylonian numeral.
-8447

Accepted Answer

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

Question 9

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  3067 
B)  367 
C)  3670 
D)  3607 
A)  3067 
B)  367 
C)  3670 
D)  3607

Question 10

Solve the problem.
-List the first 10 counting numbers in base 2.

Accepted Answer

A) 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001 
B) 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010 
C) 1, 10, 11, 100, 110, 1000, 1001, 1010, 1100, 10000 
D) 0, 1, 2, 10, 11, 100, 101, 110, 111, 1000 
A) 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001 
B) 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010 
C) 1, 10, 11, 100, 110, 1000, 1001, 1010, 1100, 10000 
D) 0, 1, 2, 10, 11, 100, 101, 110, 111, 1000

Question 11

Find the modular residue of the product.
-9,053,507,123 ·6,688,445 (mod 15)

Accepted Answer

A) 5 
B) 7 
C) 10 
D) 8 
A) 5 
B) 7 
C) 10 
D) 8

Question 12

Perform the addition or subtraction and give your answer in Hindu-Arabic form.
-

Accepted Answer

A)  217 
B)  113 
C)  357 
D)  93 
A)  217 
B)  113 
C)  357 
D)  93

Question 13

Convert the number to decimal form.
-$137 _\text { sixteen }$

Accepted Answer

A)  4976 
B)  215 
C)  311 
D)  26 
A)  4976 
B)  215 
C)  311 
D)  26

Question 14

Convert the number to the indicated base.
-$53 _ { \text {six } }$ to base three

Accepted Answer

A)  $111 _ { \text {three } }$ 
B)  $100 _ { \text {three } }$ 
C)  $1020 _ { \text {three } }$ 
D)  $1120 _ { \text {three } }$ 
A)  $111 _ { \text {three } }$ 
B)  $100 _ { \text {three } }$ 
C)  $1020 _ { \text {three } }$ 
D)  $1120 _ { \text {three } }$

Question 15

Write the number as a Greek numeral.
-40,302

Accepted Answer

A)    
B) $, \delta \tau \beta$ 
C)    
D)  , $\delta \sigma \beta$ 
A)    
B) $, \delta \tau \beta$ 
C)    
D)  , $\delta \sigma \beta$

Question 16

Convert the decimal number to the given base.
-2,874 to base nine

Accepted Answer

A)  $3193_ \text { nine }$ 
B)  $3843_ \text { nine }$ 
C)  $3483_ \text { nine }$ 
D)  $3548_ \text { nine }$ 
A)  $3193_ \text { nine }$ 
B)  $3843_ \text { nine }$ 
C)  $3483_ \text { nine }$ 
D)  $3548_ \text { nine }$

Question 17

List the first 10 counting numbers in base 9.

Accepted Answer

A) 1, 2, 3, 4, 5, 7, 8, 10, 11 
B) 1, 2, 3, 4, 5, 6, 7, 8, 10, 11 
C) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12 
D) 1, 2, 4, 5, 7, 8, A, B, C, D 
A) 1, 2, 3, 4, 5, 7, 8, 10, 11 
B) 1, 2, 3, 4, 5, 6, 7, 8, 10, 11 
C) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12 
D) 1, 2, 4, 5, 7, 8, A, B, C, D

Question 18

Convert the number to binary form.
-$\text { FA6 }_ \text { sixteen }$

Accepted Answer

A)  $111110000011 _ { \text {two } }$ 
B)  $111110110110 _ { \text {two } }$ 
C)  $111010110110 _ { \text {two } }$ 
D)  $111110100110 _ { \text {two } }$ 
A)  $111110000011 _ { \text {two } }$ 
B)  $111110110110 _ { \text {two } }$ 
C)  $111010110110 _ { \text {two } }$ 
D)  $111110100110 _ { \text {two } }$

Question 19

Convert the Hindu-Arabic numeral to Egyptian form.
-$8,080,840$

Accepted Answer

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

Question 20

Write the number in expanded form.
-548,352

Accepted Answer

A)  $\left( 5 \cdot 10 ^ { 0 } \right) + \left( 4 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 4 } \right) + \left( 2 \cdot 10 ^ { 5 } \right)$ 
B)  $\left( 5 \cdot 10 ^ { 5 } \right) + \left( 4 \cdot 10 ^ { 4 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right) + ( 2 \cdot 100 )$ 
C)  $\left( 5 \cdot 10 ^ { 1 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 4 } \right) + \left( 5 \cdot 10 ^ { 5 } \right) + \left( 2 \cdot 10 ^ { 6 } \right)$ 
D)  $\left( 5 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 8 \cdot 10 ^ { 4 } \right) + \left( 3 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 2 } \right) + \left( 2 \cdot 10 ^ { 1 } \right)$ 
A)  $\left( 5 \cdot 10 ^ { 0 } \right) + \left( 4 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 4 } \right) + \left( 2 \cdot 10 ^ { 5 } \right)$ 
B)  $\left( 5 \cdot 10 ^ { 5 } \right) + \left( 4 \cdot 10 ^ { 4 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right) + ( 2 \cdot 100 )$ 
C)  $\left( 5 \cdot 10 ^ { 1 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 4 } \right) + \left( 5 \cdot 10 ^ { 5 } \right) + \left( 2 \cdot 10 ^ { 6 } \right)$ 
D)  $\left( 5 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 8 \cdot 10 ^ { 4 } \right) + \left( 3 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 2 } \right) + \left( 2 \cdot 10 ^ { 1 } \right)$

Write the number in expanded form. -1,000

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Convert the number to binary form. - $6 \mathrm{BD}_{\text {sixteen }}$

Convert the Chinese numeral to Hindu-Arabic form. -

Convert the Hindu-Arabic numeral to Chinese. -85

Convert the Hindu-Arabic numeral to Chinese. - $367$

Convert the Egyptian numeral to Hindu-Arabic form. -

Write the number as a Babylonian numeral. -8447

Convert the Egyptian numeral to Hindu-Arabic form. -

Solve the problem. -List the first 10 counting numbers in base 2.

Find the modular residue of the product. -9,053,507,123 ·6,688,445 (mod 15)

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Convert the number to decimal form. - $137 _\text { sixteen }$

Convert the number to the indicated base. - $53 _ { \text {six } }$ to base three

Write the number as a Greek numeral. -40,302

Convert the decimal number to the given base. -2,874 to base nine

List the first 10 counting numbers in base 9.

Convert the number to binary form. - $\text { FA6 }_ \text { sixteen }$

Convert the Hindu-Arabic numeral to Egyptian form. - $8,080,840$

Write the number in expanded form. -548,352

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

Write the number in expanded form. -1,000

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Convert the number to binary form. - 6BDsixteen 6 \mathrm{BD}_{\text {sixteen }}6BDsixteen ​

Convert the Chinese numeral to Hindu-Arabic form. -

Convert the Hindu-Arabic numeral to Chinese. -85

Convert the Hindu-Arabic numeral to Chinese. - 367367367

Convert the Egyptian numeral to Hindu-Arabic form. -

Write the number as a Babylonian numeral. -8447

Convert the Egyptian numeral to Hindu-Arabic form. -

Solve the problem. -List the first 10 counting numbers in base 2.

Find the modular residue of the product. -9,053,507,123 ·6,688,445 (mod 15)

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Convert the number to decimal form. - 137 sixteen 137 _\text { sixteen }137 sixteen ​

Convert the number to the indicated base. - 53six 53 _ { \text {six } }53six ​ to base three

Write the number as a Greek numeral. -40,302

Convert the decimal number to the given base. -2,874 to base nine

List the first 10 counting numbers in base 9.

Convert the number to binary form. - FA6 sixteen \text { FA6 }_ \text { sixteen } FA6 sixteen ​

Convert the Hindu-Arabic numeral to Egyptian form. - 8,080,8408,080,8408,080,840

Write the number in expanded form. -548,352

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

Convert the number to binary form. - $6 \mathrm{BD}_{\text {sixteen }}$

Convert the Hindu-Arabic numeral to Chinese. - $367$

Convert the number to decimal form. - $137 _\text { sixteen }$

Convert the number to the indicated base. - $53 _ { \text {six } }$ to base three

Convert the number to binary form. - $\text { FA6 }_ \text { sixteen }$

Convert the Hindu-Arabic numeral to Egyptian form. - $8,080,840$