Question 1

Convert the decimal number to the given base.
-13,562 to base nine

Accepted Answer

A)  $6051 _ { \text {nine } }$ 
B)  $1506 _ { \text {nine } }$ 
C)  $20538 _ { \text {nine } }$ 
D) $83502 _ { \text {nine } }$ 
A)  $6051 _ { \text {nine } }$ 
B)  $1506 _ { \text {nine } }$ 
C)  $20538 _ { \text {nine } }$ 
D) $83502 _ { \text {nine } }$

Question 2

Convert the number to the indicated base.
-$1010101111001101 _ { \text {two } }$ to hexidecimal

Accepted Answer

A)  B6FE1sixteen 
B)  $111 \mathrm { E } 31 _ { \text {sixteen } }$ 
C) $\mathrm{ABCD}_{\text {sixteen }}$ 
D)  $125715_ \text { sixteen }$ 
A)  B6FE1sixteen 
B)  $111 \mathrm { E } 31 _ { \text {sixteen } }$ 
C) $\mathrm{ABCD}_{\text {sixteen }}$ 
D)  $125715_ \text { sixteen }$

Question 3

Convert the Hindu-Arabic numeral to Egyptian form.
-$6,875,000$

Accepted Answer

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

Question 4

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols.
-base seven, nine distinct symbols

Accepted Answer

A) 4,782,969 
B) 40,353,606 
C) 40,353,607 
D) 4,782,968 
A) 4,782,969 
B) 40,353,606 
C) 40,353,607 
D) 4,782,968

Question 5

Write the number as a Mayan numeral.
-213

Accepted Answer

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

Question 6

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form.
-How much would King Solomon have to pay the King of Tyre for the use of 100 tree cutters at 3 shekels per week for a total of 8 weeks?

Accepted Answer

A) 300 shekels 
B) 2400 shekels 
C) 111 shekels 
D) 800 shekels 
A) 300 shekels 
B) 2400 shekels 
C) 111 shekels 
D) 800 shekels

Question 7

Convert the number to binary form.
-298 decimal

Accepted Answer

A)  $100101010 _ { \text {two } }$ 
B)  $11010101 _ { \text {two } }$ 
C)  $100101011 _ { \text {two } }$ 
D)  $11010100 _ { \text {two } }$ 
A)  $100101010 _ { \text {two } }$ 
B)  $11010101 _ { \text {two } }$ 
C)  $100101011 _ { \text {two } }$ 
D)  $11010100 _ { \text {two } }$

Question 8

Sketch an abacus to represent the given number.
-51,528

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 9

Decide whether the congruence statement is true or false.

-19 ≡ 77 (mod 5)

Accepted Answer

A) True 
 B)False

Question 10

Convert the Hindu-Arabic numeral to Egyptian form.
-32,466

Accepted Answer

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

Question 11

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

Accepted Answer

A)  7509 
B)  7599 
C)  8509 
D)  8599 
A)  7509 
B)  7599 
C)  8509 
D)  8599

Question 12

Determine the letters or numbers.
-Write the binary code for the letter R.

Accepted Answer

A) 1100101 
B) 1010100 
C) 1001010 
D) 1010010 
A) 1100101 
B) 1010100 
C) 1001010 
D) 1010010

Question 13

Convert the number to decimal form.
-160seven

Accepted Answer

A) 1120 
B) 49 
C) 91 
D) 637 
A) 1120 
B) 49 
C) 91 
D) 637

Question 14

Determine the letters or numbers.
-Break 110001011001011100100 into groups of seven digits and write as lower case letters.

Accepted Answer

A) cue 
B) bad 
C) arm 
D) bed 
A) cue 
B) bad 
C) arm 
D) bed

Question 15

Convert from binary form to the indicated base.
-$10110001 _ { \text {two } }$ to base ten

Accepted Answer

A)  354 
B)  $20,220,002$ 
C)  8 
D)  177 
A)  354 
B)  $20,220,002$ 
C)  8 
D)  177

Question 16

Solve the problem.
-A traveling salesman sells all over the country in the following pattern: 3 days in New York, 2 days in Detroit, 1 day in Chicago, 5 days in Los Angeles, 2 days in Houston, 4 days in Washington D.C.
And then the cycle starts over. If the salesman is in his 3rd day in Los Angeles, where will he be 93
Days from now?

Accepted Answer

A) Washington D.C. 
B) Houston 
C) New York 
D) Chicago 
A) Washington D.C. 
B) Houston 
C) New York 
D) Chicago

Question 17

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols.
-base ten, eight distinct symbols

Accepted Answer

A) 99,999,999 
B) 100,000, 001 
C) 9,999,999 
D) 100,000,000 
A) 99,999,999 
B) 100,000, 001 
C) 9,999,999 
D) 100,000,000

Question 18

Sketch an abacus to represent the given number.
-9,871

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 19

Sketch an abacus to represent the given number.
-5,309

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 20

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

Accepted Answer

A)  56,591 
B)  55,601 
C)  55,501 
D)  55,591 
A)  56,591 
B)  55,601 
C)  55,501 
D)  55,591

Convert the decimal number to the given base. -13,562 to base nine

Convert the number to the indicated base. - $1010101111001101 _ { \text {two } }$ to hexidecimal

Convert the Hindu-Arabic numeral to Egyptian form. - $6,875,000$

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base seven, nine distinct symbols

Write the number as a Mayan numeral. -213

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form. -How much would King Solomon have to pay the King of Tyre for the use of 100 tree cutters at 3 shekels per week for a total of 8 weeks?

Convert the number to binary form. -298 decimal

Sketch an abacus to represent the given number. -51,528

Decide whether the congruence statement is true or false. -19 ≡ 77 (mod 5)

Convert the Hindu-Arabic numeral to Egyptian form. -32,466

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

Determine the letters or numbers. -Write the binary code for the letter R.

Convert the number to decimal form. -160_seven

Determine the letters or numbers. -Break 110001011001011100100 into groups of seven digits and write as lower case letters.

Convert from binary form to the indicated base. - $10110001 _ { \text {two } }$ to base ten

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base ten, eight distinct symbols

Sketch an abacus to represent the given number. -9,871

Sketch an abacus to represent the given number. -5,309

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

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

Convert the decimal number to the given base. -13,562 to base nine

Convert the number to the indicated base. - 1010101111001101two 1010101111001101 _ { \text {two } }1010101111001101two ​ to hexidecimal

Convert the Hindu-Arabic numeral to Egyptian form. - 6,875,0006,875,0006,875,000

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base seven, nine distinct symbols

Write the number as a Mayan numeral. -213

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form. -How much would King Solomon have to pay the King of Tyre for the use of 100 tree cutters at 3 shekels per week for a total of 8 weeks?

Convert the number to binary form. -298 decimal

Sketch an abacus to represent the given number. -51,528

Decide whether the congruence statement is true or false. -19 ≡ 77 (mod 5)

Convert the Hindu-Arabic numeral to Egyptian form. -32,466

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

Determine the letters or numbers. -Write the binary code for the letter R.

Convert the number to decimal form. -160seven

Determine the letters or numbers. -Break 110001011001011100100 into groups of seven digits and write as lower case letters.

Convert from binary form to the indicated base. - 10110001two 10110001 _ { \text {two } }10110001two ​ to base ten

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base ten, eight distinct symbols

Sketch an abacus to represent the given number. -9,871

Sketch an abacus to represent the given number. -5,309

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

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 the indicated base. - $1010101111001101 _ { \text {two } }$ to hexidecimal

Convert the Hindu-Arabic numeral to Egyptian form. - $6,875,000$

Convert the number to decimal form. -160_seven

Convert from binary form to the indicated base. - $10110001 _ { \text {two } }$ to base ten