Question 1

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-842; Roman

Accepted Answer

A) DCCCXLII 
B) CMMXLII 
C) CCMXLII 
D) DCCCLXII

Question 2

Solve the problem.
-Indicate which digit in 5,138,353 has place value hundred thousands.

Accepted Answer

A) 3 
B) 1 
C) 0 
D) 5

Question 3

Write the numeral in base ten.
-$42_{ five}$

Accepted Answer

A)  47 
B)  42 
C)  22 
D)  27

Question 4

Provide an appropriate response.
-What is the largest 3-digit number in base five if you can use any digit only once?

Accepted Answer

The answer of Provide an appropriate response.
-What is the largest...

Question 5

Solve the problem.
-3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $28,200, what is Nancy's salary?

Accepted Answer

A) None of these 
B) $14,100 
C) $84,600 
D) $4700

Question 6

Find the solutions in the set W.
-3 + x = x + 3

Accepted Answer

A) no solution 
B) 0 
C) all whole numbers 
D) 3

Question 7

Provide an appropriate response.
-What base is being used in a 3 -digit numeral having place values as depicted in the table. \begin{tabular} { l | l | l }  3rd position & 2nd position & 1st position \ \hline sevens of sevens & sevens & ones \end{tabular}
$\begin{array}{l|l|l}
\text { 3rd position } & \text { 2nd position } & \text { 1st position } \
\hline \text { sevens of sevens } & \text { sevens } & \text { ones }
\end{array}$

Accepted Answer

The answer of Provide an appropriate response.
-What base is being...

Question 8

For the following, write an equivalent numeral in the Hindu-Arabic system.
-

Accepted Answer

A)  88,160 
B)  79,378 
C)  83,479 
D)  88,360

Question 9

Decide whether or not the set is closed under multiplication.
-{Whole numbers}

Accepted Answer

A) Not closed 
B) Closed

Question 10

Rewrite the subtraction problem as an equivalent addition problem.
-85 - x = 51

Accepted Answer

A) x - 85 = 51 
B) x = 85 + 51 
C) x + 51 = 85 
D) 85 + x = 51

Question 11

Convert the base-ten number to a number in the indicated base.
-503 to base eight

Accepted Answer

A) 656eight 
B) 676eight 
C) 565eight 
D) 767eight

Question 12

Decide whether or not the set is closed under addition.
-$$\{ \mathrm { n } \in \mathrm { N } : \mathrm { n } \geq 53 \}$$

Accepted Answer

A)  Closed 
B)  Not closed

Question 13

Decide whether or not the set is closed under addition.
-{1, 3, 5, 7, . . .}

Accepted Answer

A) Closed 
B) Not closed

Question 14

Write the following as a base-ten numeral.
-$3 \cdot 10 + 3$

Accepted Answer

A)  303 
B)  60 
C)  33 
D)  None of these

Question 15

Solve the problem.
-Sarah has a collection of marbles. She notices that if she borrows 4 marbles from a friend, then she can arrange the marbles in rows of 13 each. What is the remainder when she divides her original
Number of marbles by 13?

Accepted Answer

A) 8 
B) 9 
C) 10 
D) 7

Question 16

For the following, write an equivalent numeral in the Hindu-Arabic system.
-

Accepted Answer

A)  8 
B)  13 
C)  78 
D)  780

Question 17

Decide whether or not the set is closed under multiplication.
-{1, 3, 5, 7, . . .}

Accepted Answer

A) Not closed 
B) Closed

Question 18

Solve the problem.
-Mary had 8 strings of beads, each having 175 beads. She restrung them such that she had 5 strings, each having the same number of beads again. How many beads did she have on each string?

Accepted Answer

A) 40 
B) 280 
C) 1400 
D) 175

Question 19

Write the following as a base-ten numeral.
-$7 \cdot 10 ^ { 2 } + 3 \cdot 10 + 5$

Accepted Answer

A)  780 
B)  1005 
C)  708 
D)  735

Question 20

Find the missing numbers.
-

Accepted Answer

A)  $( a ) = 7 , ( b ) = 2 , ( c ) = 5$ 
B)  $( a ) = 9 , ( b ) = 4 , ( c ) = 7$ 
C)  $( a ) = 8 , ( b ) = 3 , ( c ) = 6$ 
D)  $( a ) = 8 , ( b ) = 3 , ( c ) = 5$

Exam 3: Numeration Systems and Whole Number Operations

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -842; Roman

Solve the problem. -Indicate which digit in 5,138,353 has place value hundred thousands.

Write the numeral in base ten. - $42_{ five}$

Provide an appropriate response. -What is the largest 3-digit number in base five if you can use any digit only once?

Solve the problem. -3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $28,200, what is Nancy's salary?

Find the solutions in the set W. -3 + x = x + 3

For the following, write an equivalent numeral in the Hindu-Arabic system. -

Decide whether or not the set is closed under multiplication. -{Whole numbers}

Rewrite the subtraction problem as an equivalent addition problem. -85 - x = 51

Convert the base-ten number to a number in the indicated base. -503 to base eight

Decide whether or not the set is closed under addition. - $\{ \mathrm { n } \in \mathrm { N } : \mathrm { n } \geq 53 \}$

Decide whether or not the set is closed under addition. -{1, 3, 5, 7, . . .}

Write the following as a base-ten numeral. - $3 \cdot 10 + 3$

Solve the problem. -Sarah has a collection of marbles. She notices that if she borrows 4 marbles from a friend, then she can arrange the marbles in rows of 13 each. What is the remainder when she divides her original Number of marbles by 13?

For the following, write an equivalent numeral in the Hindu-Arabic system. -

Decide whether or not the set is closed under multiplication. -{1, 3, 5, 7, . . .}

Solve the problem. -Mary had 8 strings of beads, each having 175 beads. She restrung them such that she had 5 strings, each having the same number of beads again. How many beads did she have on each string?

Write the following as a base-ten numeral. - $7 \cdot 10 ^ { 2 } + 3 \cdot 10 + 5$

Find the missing numbers. -

Exam 3: Numeration Systems and Whole Number Operations

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -842; Roman

Solve the problem. -Indicate which digit in 5,138,353 has place value hundred thousands.

Write the numeral in base ten. - 42five42_{ five}42five​

Provide an appropriate response. -What is the largest 3-digit number in base five if you can use any digit only once?

Solve the problem. -3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $28,200, what is Nancy's salary?

Find the solutions in the set W. -3 + x = x + 3

For the following, write an equivalent numeral in the Hindu-Arabic system. -

Decide whether or not the set is closed under multiplication. -{Whole numbers}

Rewrite the subtraction problem as an equivalent addition problem. -85 - x = 51

Convert the base-ten number to a number in the indicated base. -503 to base eight

Decide whether or not the set is closed under addition. - {n∈N:n≥53}\{ \mathrm { n } \in \mathrm { N } : \mathrm { n } \geq 53 \}{n∈N:n≥53}

Decide whether or not the set is closed under addition. -{1, 3, 5, 7, . . .}

Write the following as a base-ten numeral. - 3⋅10+33 \cdot 10 + 33⋅10+3

Solve the problem. -Sarah has a collection of marbles. She notices that if she borrows 4 marbles from a friend, then she can arrange the marbles in rows of 13 each. What is the remainder when she divides her original Number of marbles by 13?

For the following, write an equivalent numeral in the Hindu-Arabic system. -

Decide whether or not the set is closed under multiplication. -{1, 3, 5, 7, . . .}

Solve the problem. -Mary had 8 strings of beads, each having 175 beads. She restrung them such that she had 5 strings, each having the same number of beads again. How many beads did she have on each string?

Write the following as a base-ten numeral. - 7⋅102+3⋅10+57 \cdot 10 ^ { 2 } + 3 \cdot 10 + 57⋅102+3⋅10+5

Find the missing numbers. -

Write the numeral in base ten. - $42_{ five}$

Decide whether or not the set is closed under addition. - $\{ \mathrm { n } \in \mathrm { N } : \mathrm { n } \geq 53 \}$

Write the following as a base-ten numeral. - $3 \cdot 10 + 3$

Write the following as a base-ten numeral. - $7 \cdot 10 ^ { 2 } + 3 \cdot 10 + 5$