Question 1

Use lattice multiplication to determine the product.
-243 × 68

Accepted Answer

A)  16,534 
B)  16,514 
C)  16,624 
D)  16,524 
A)  16,534 
B)  16,514 
C)  16,624 
D)  16,524

Question 2

Write the Hindu-Arabic numeral in expanded form.
-5000

Accepted Answer

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

Question 3

Write the numeral as a traditional Chinese numeral.
-3050

Accepted Answer

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

Question 4

Multiply in the indicated base.
-$$\begin{array} { r } 
235_7 \
\times \quad 6_7 \
\hline
\end{array}$$

Accepted Answer

A)  $2112_7$ 
B) $ 2133_7$ 
C)  $2012_7$ 
D)  $2212_7$ 
A)  $2112_7$ 
B) $ 2133_7$ 
C)  $2012_7$ 
D)  $2212_7$

Question 5

Write the numeral as a traditional Chinese numeral.
-2000

Accepted Answer

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

Question 6

Add in the indicated base.
-$$\begin{array} { r } 
56_8 \
+ \quad 72_8 \
\hline
\end{array}$$

Accepted Answer

A)  $131_8$ 
B)  $142_8$ 
C)  $156_8$ 
D)  $150_8$ 
A)  $131_8$ 
B)  $142_8$ 
C)  $156_8$ 
D)  $150_8$

Question 7

Multiply using duplation and mediation.
-50 × 83

Accepted Answer

A)  4250 
B)  4160 
C)  4150 
D)  4140 
A)  4250 
B)  4160 
C)  4150 
D)  4140

Question 8

Convert the numeral to a numeral in the base indicated.
-72,578 to base 15

Accepted Answer

A)  $16088_{15}$ 
B)  $10688_{15}$ 
C)  $17688_{15}$ 
D)  $16788_{15}$ 
A)  $16088_{15}$ 
B)  $10688_{15}$ 
C)  $17688_{15}$ 
D)  $16788_{15}$

Question 9

Write the Hindu-Arabic numeral in expanded form.
-667,286

Accepted Answer

A)  $\left( 6 \times 10 ^ { 6 } \right) + \left( 6 \times 10 ^ { 5 } \right) + \left( 7 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 6 \times 10 ^ { 1 } \right)$ 
B)  $\left( 6 \times 10 ^ { 0 } \right) + \left( 6 \times 10 ^ { 1 } \right) + \left( 7 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 6 \times 10 ^ { 5 } \right)$ 
C)  $\left( 6 \times 10 ^ { 6 } \right) + \left( 6 \times 10 ^ { 5 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 6 \times 10 ^ { 1 } \right)$ 
D)  $\left( 6 \times 10 ^ { 5 } \right) + \left( 6 \times 10 ^ { 4 } \right) + \left( 7 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 6 \times 10 ^ { 0 } \right)$ 
A)  $\left( 6 \times 10 ^ { 6 } \right) + \left( 6 \times 10 ^ { 5 } \right) + \left( 7 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 6 \times 10 ^ { 1 } \right)$ 
B)  $\left( 6 \times 10 ^ { 0 } \right) + \left( 6 \times 10 ^ { 1 } \right) + \left( 7 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 6 \times 10 ^ { 5 } \right)$ 
C)  $\left( 6 \times 10 ^ { 6 } \right) + \left( 6 \times 10 ^ { 5 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 6 \times 10 ^ { 1 } \right)$ 
D)  $\left( 6 \times 10 ^ { 5 } \right) + \left( 6 \times 10 ^ { 4 } \right) + \left( 7 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 6 \times 10 ^ { 0 } \right)$

Question 10

Write the Roman numeral as a Hindu-Arabic numeral.
-XCI

Accepted Answer

A)  91 
B)  81 
C)  111 
D)  191 
A)  91 
B)  81 
C)  111 
D)  191

Question 11

Convert the numeral to a numeral in base 10.
-$$41626_8$$

Accepted Answer

A)  152 
B)  333,008 
C)  17,302 
D)  110 
A)  152 
B)  333,008 
C)  17,302 
D)  110

Question 12

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

Accepted Answer

A)  357 
B)  3570 
C)  3057 
D)  367 
A)  357 
B)  3570 
C)  3057 
D)  367

Question 13

Write the numeral as a Babylonian numeral.
-122

Accepted Answer

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

Question 14

Multiply using duplation and mediation.
-13 × 100

Accepted Answer

A)  1300 
B)  1248 
C)  1287 
D)  1326 
A)  1300 
B)  1248 
C)  1287 
D)  1326

Question 15

Write the numeral as a Mayan numeral.
-72,302

Accepted Answer

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

Question 16

Write the numeral as an Egyptian numeral.
-2000

Accepted Answer

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

Question 17

Write the numeral as an Egyptian numeral.
-620

Accepted Answer

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

Question 18

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

Accepted Answer

A)  32 
B)  25 
C)  27 
D)  28 
A)  32 
B)  25 
C)  27 
D)  28

Question 19

Subtract in the indicated base.
-$\begin{array}{r}
412_5 \
-\quad 22_5 \
\hline
\end{array}$

Accepted Answer

A)  $340_5$ 
B)  $343_5$ 
C)  $342_5$ 
D)  $442_5$ 
A)  $340_5$ 
B)  $343_5$ 
C)  $342_5$ 
D)  $442_5$

Question 20

Write the numeral as a Mayan numeral.
-3750

Accepted Answer

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

Use lattice multiplication to determine the product. -243 × 68

Write the Hindu-Arabic numeral in expanded form. -5000

Write the numeral as a traditional Chinese numeral. -3050

Multiply in the indicated base. - 23 \times

Write the numeral as a traditional Chinese numeral. -2000

Add in the indicated base. - 5 +7

Multiply using duplation and mediation. -50 × 83

Convert the numeral to a numeral in the base indicated. -72,578 to base 15

Write the Hindu-Arabic numeral in expanded form. -667,286

Write the Roman numeral as a Hindu-Arabic numeral. -XCI

Convert the numeral to a numeral in base 10. - $41626_8$

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

Write the numeral as a Babylonian numeral. -122

Multiply using duplation and mediation. -13 × 100

Write the numeral as a Mayan numeral. -72,302

Write the numeral as an Egyptian numeral. -2000

Write the numeral as an Egyptian numeral. -620

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

Subtract in the indicated base. - 41 -2

Write the numeral as a Mayan numeral. -3750

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

Use lattice multiplication to determine the product. -243 × 68

Write the Hindu-Arabic numeral in expanded form. -5000

Write the numeral as a traditional Chinese numeral. -3050

Multiply in the indicated base. - 23 \times

Write the numeral as a traditional Chinese numeral. -2000

Add in the indicated base. - 5 +7

Multiply using duplation and mediation. -50 × 83

Convert the numeral to a numeral in the base indicated. -72,578 to base 15

Write the Hindu-Arabic numeral in expanded form. -667,286

Write the Roman numeral as a Hindu-Arabic numeral. -XCI

Convert the numeral to a numeral in base 10. - 41626841626_8416268​

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

Write the numeral as a Babylonian numeral. -122

Multiply using duplation and mediation. -13 × 100

Write the numeral as a Mayan numeral. -72,302

Write the numeral as an Egyptian numeral. -2000

Write the numeral as an Egyptian numeral. -620

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

Subtract in the indicated base. - 41 -2

Write the numeral as a Mayan numeral. -3750

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

Convert the numeral to a numeral in base 10. - $41626_8$