Question 1

Convert the numeral to a numeral in base 10.
-$$10011 _ { 2 }$$

Accepted Answer

A)  6 
B)  38 
C)  19 
D)  20,022 
A)  6 
B)  38 
C)  19 
D)  20,022

Question 2

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

Accepted Answer

A)  120 
B)  140 
C)  60 
D)  85 
A)  120 
B)  140 
C)  60 
D)  85

Question 3

Write the numeral as a traditional Chinese numeral.
-620

Accepted Answer

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

Question 4

Subtract in the indicated base.
-$\begin{array} { r } 
11000 _ { 2 } \
- \quad 100 _ { 2 } \
\hline
\end{array}$

Accepted Answer

A)  $10000 _ { 2 }$ 
B)  $10100 _ { 2 }$ 
C)  $11001 _ { 2 }$ 
D)  $10001 _ { 2 }$ 
A)  $10000 _ { 2 }$ 
B)  $10100 _ { 2 }$ 
C)  $11001 _ { 2 }$ 
D)  $10001 _ { 2 }$

Question 5

Write the Hindu-Arabic numeral in expanded form.
-208

Accepted Answer

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

Question 6

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

Accepted Answer

A)  46 
B)  54 
C)  56 
D)  66 
A)  46 
B)  54 
C)  56 
D)  66

Question 7

Write the Hindu-Arabic numeral in expanded form.
-671

Accepted Answer

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

Question 8

Convert the numeral to a numeral in base 10.
-$$33_5$$

Accepted Answer

A)  30 
B)  90 
C)  165 
D)  18 
A)  30 
B)  90 
C)  165 
D)  18

Question 9

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

Accepted Answer

A)  680 
B)  550 
C)  650 
D)  700 
A)  680 
B)  550 
C)  650 
D)  700

Question 10

Write the numeral as a Roman numeral.
-2022

Accepted Answer

A)  CCXXII 
B)  MMXXII 
C)  MMCCII 
D)  MMCCXX 
A)  CCXXII 
B)  MMXXII 
C)  MMCCII 
D)  MMCCXX

Question 11

Use lattice multiplication to determine the product.
-73 × 80

Accepted Answer

A)  5940 
B)  5830 
C)  5840 
D)  5850 
A)  5940 
B)  5830 
C)  5840 
D)  5850

Question 12

Use lattice multiplication to determine the product.
-624 × 95

Accepted Answer

A)  59,290 
B)  59,270 
C)  59,280 
D)  59,380 
A)  59,290 
B)  59,270 
C)  59,280 
D)  59,380

Question 13

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

Accepted Answer

A)  6020 
B)  60,200 
C)  62,000 
D)  6200 
A)  6020 
B)  60,200 
C)  62,000 
D)  6200

Question 14

Subtract in the indicated base.
-$$\begin{array} { r } 
1001 _ { 4 } \
- \quad 32_4 \
\hline
\end{array}$$

Accepted Answer

A)  $968_4$ 
B)  $303_4$ 
C)  $321_4$ 
D)  $312_4$ 
A)  $968_4$ 
B)  $303_4$ 
C)  $321_4$ 
D)  $312_4$

Question 15

Multiply using duplation and mediation.
-3 × 23

Accepted Answer

A)  69 
B)  57 
C)  66 
D)  75 
A)  69 
B)  57 
C)  66 
D)  75

Question 16

Use lattice multiplication to determine the product.
-185 × 302

Accepted Answer

A)  55,870 
B)  55,970 
C)  55,860 
D)  55,880 
A)  55,870 
B)  55,970 
C)  55,860 
D)  55,880

Question 17

Convert the base 10 numeral to a numeral in the base indicated.
-503 to base 8

Accepted Answer

A)  $656_8$ 
B)  $676_8$ 
C)  $565_8$ 
D) $767_8$ 
A)  $656_8$ 
B)  $676_8$ 
C)  $565_8$ 
D) $767_8$

Question 18

Write the Hindu-Arabic numeral in expanded form.
-15

Accepted Answer

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

Question 19

Write the numeral as a Roman numeral.
-65

Accepted Answer

A)  LXI 
B)  LXVII 
C)  LXXI 
D)  LXV 
A)  LXI 
B)  LXVII 
C)  LXXI 
D)  LXV

Question 20

Write the numeral as an Egyptian numeral.
-1011

Accepted Answer

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

Convert the numeral to a numeral in base 10. - $10011 _ { 2 }$

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

Write the numeral as a traditional Chinese numeral. -620

Subtract in the indicated base. - 1100 -10

Write the Hindu-Arabic numeral in expanded form. -208

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

Write the Hindu-Arabic numeral in expanded form. -671

Convert the numeral to a numeral in base 10. - $33_5$

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

Write the numeral as a Roman numeral. -2022

Use lattice multiplication to determine the product. -73 × 80

Use lattice multiplication to determine the product. -624 × 95

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

Subtract in the indicated base. - 100 -3

Multiply using duplation and mediation. -3 × 23

Use lattice multiplication to determine the product. -185 × 302

Convert the base 10 numeral to a numeral in the base indicated. -503 to base 8

Write the Hindu-Arabic numeral in expanded form. -15

Write the numeral as a Roman numeral. -65

Write the numeral as an Egyptian numeral. -1011

Critical Thinking Skills

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Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

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Exam 4: Systems of Numeration

Convert the numeral to a numeral in base 10. - 10011210011 _ { 2 }100112​