Question 1

Write the Roman numeral as a Hindu-Arabic numeral.
-$\overline{XL}DCLV$

Accepted Answer

A)  6655 
B)  41,655 
C)  42,655 
D)  43,655 
A)  6655 
B)  41,655 
C)  42,655 
D)  43,655

Question 2

Write the Babylonian numeral as a Hindu-Arabic numeral.
-$$< < < 1111$$

Accepted Answer

A)  36 
B)  34 
C)  37 
D)  35 
A)  36 
B)  34 
C)  37 
D)  35

Question 3

Convert the numeral to a numeral in the base indicated.
-700 to base 16

Accepted Answer

A)  $2 B C _ { 16 }$ 
B)  $2 B C$ 
C)  $2 \mathrm { CB }$ 
D)  $2 \mathrm { CB } _ { 16 }$ 
A)  $2 B C _ { 16 }$ 
B)  $2 B C$ 
C)  $2 \mathrm { CB }$ 
D)  $2 \mathrm { CB } _ { 16 }$

Question 4

Subtract in the indicated base.
-$$\begin{array} { r } 
301_4 \
- \quad 102_4 \
\hline
\end{array}$$

Accepted Answer

A)  $133_4$ 
B)  $199_4$ 
C)  $232_4$ 
D)  $143_4$ 
A)  $133_4$ 
B)  $199_4$ 
C)  $232_4$ 
D)  $143_4$

Question 5

Multiply using duplation and mediation.
-18 × 35

Accepted Answer

A)  558 
B)  666 
C)  612 
D)  630 
A)  558 
B)  666 
C)  612 
D)  630

Question 6

Convert the numeral to a numeral in base 10.
-$6 \mathrm { E } _ { 16 }$

Accepted Answer

A)  174 
B)  1760 
C)  110 
D)  74 
A)  174 
B)  1760 
C)  110 
D)  74

Question 7

Write the Hindu-Arabic numeral in expanded form.
-984,284

Accepted Answer

A)  $\left( 9 \times 10 ^ { 6 } \right) + \left( 8 \times 10 ^ { 5 } \right) + \left( 4 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 4 \times 10 ^ { 1 } \right)$ 
B)  $\left( 9 \times 10 ^ { 0 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 4 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 4 \times 10 ^ { 5 } \right)$ 
C)  $\left( 9 \times 10 ^ { 5 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 4 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 4 \times 10 ^ { 0 } \right)$ 
D)  $\left( 9 \times 10 ^ { 6 } \right) + \left( 4 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 4 \times 10 ^ { 1 } \right)$ 
A)  $\left( 9 \times 10 ^ { 6 } \right) + \left( 8 \times 10 ^ { 5 } \right) + \left( 4 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 4 \times 10 ^ { 1 } \right)$ 
B)  $\left( 9 \times 10 ^ { 0 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 4 \times 10 ^ { 2 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 4 \times 10 ^ { 5 } \right)$ 
C)  $\left( 9 \times 10 ^ { 5 } \right) + \left( 8 \times 10 ^ { 4 } \right) + \left( 4 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 8 \times 10 ^ { 1 } \right) + \left( 4 \times 10 ^ { 0 } \right)$ 
D)  $\left( 9 \times 10 ^ { 6 } \right) + \left( 4 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 8 \times 10 ^ { 2 } \right) + \left( 4 \times 10 ^ { 1 } \right)$

Question 8

Convert the base 10 numeral to a numeral in the base indicated.
-2874 to base 7

Accepted Answer

A)  $11442_7$ 
B)  $11224_7$ 
C)  $11422_7$ 
D)  $11244_7$ 
A)  $11442_7$ 
B)  $11224_7$ 
C)  $11422_7$ 
D)  $11244_7$

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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

Accepted Answer

A)  240,005 
B)  2405 
C)  245 
D)  2,000,045 
A)  240,005 
B)  2405 
C)  245 
D)  2,000,045

Question 12

Convert the numeral to a numeral in base 10.
-$$94_{12}$$

Accepted Answer

A)  1128 
B)  1344 
C)  112 
D)  156 
A)  1128 
B)  1344 
C)  112 
D)  156

Question 13

Convert the numeral to a numeral in base 10.
-$$276_{12}$$

Accepted Answer

A)  378 
B)  3312 
C)  180 
D)  4536 
A)  378 
B)  3312 
C)  180 
D)  4536

Question 14

Multiply in the indicated base.
-$\begin{array}{r}
63_7 \
\times \quad 3_7 \
\hline
\end{array}$

Accepted Answer

A)  $252_7$ 
B)  $352_7$ 
C)  $262_7$ 
D) $ 253_7$ 
A)  $252_7$ 
B)  $352_7$ 
C)  $262_7$ 
D) $ 253_7$

Question 15

Convert the base 10 numeral to a numeral in the base indicated.
-13,562 to base 8

Accepted Answer

A) $ 23,227_8$ 
B)  $32,372_8$ 
C)  $32,327_8$ 
D)  $23,272_8$ 
A) $ 23,227_8$ 
B)  $32,372_8$ 
C)  $32,327_8$ 
D)  $23,272_8$

Question 16

Write the Hindu-Arabic numeral in expanded form.
-1613

Accepted Answer

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

Question 17

Divide in the indicated base.
-

Accepted Answer

A)  $40_7$ 
B)  $25_7$ 
C)  $35_7$ 
D) $ 36_7$ 
A)  $40_7$ 
B)  $25_7$ 
C)  $35_7$ 
D) $ 36_7$

Question 18

Convert the base 10 numeral to a numeral in the base indicated.
-68 to base 8

Accepted Answer

A)  $102_8$ 
B)  $104_8$ 
C)  $140_8$ 
D)  $120_8$ 
A)  $102_8$ 
B)  $104_8$ 
C)  $140_8$ 
D)  $120_8$

Question 19

Write the Hindu-Arabic numeral in expanded form.
-46,295

Accepted Answer

A)  $\left( 4 \times 10 ^ { 0 } \right) + \left( 6 \times 10 ^ { 1 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 5 \times 10 ^ { 4 } \right)$ 
B)  $\left( 4 \times 10 ^ { 4 } \right) + \left( 6 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 9 \times 10 ^ { 1 } \right) + \left( 5 \times 10 ^ { 0 } \right)$ 
C)  $\left( 4 \times 10 ^ { 5 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 5 \times 10 ^ { 1 } \right)$ 
D)  $\left( 4 \times 10 ^ { 5 } \right) + \left( 6 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 5 \times 10 ^ { 1 } \right)$ 
A)  $\left( 4 \times 10 ^ { 0 } \right) + \left( 6 \times 10 ^ { 1 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 9 \times 10 ^ { 3 } \right) + \left( 5 \times 10 ^ { 4 } \right)$ 
B)  $\left( 4 \times 10 ^ { 4 } \right) + \left( 6 \times 10 ^ { 3 } \right) + \left( 2 \times 10 ^ { 2 } \right) + \left( 9 \times 10 ^ { 1 } \right) + \left( 5 \times 10 ^ { 0 } \right)$ 
C)  $\left( 4 \times 10 ^ { 5 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 5 \times 10 ^ { 1 } \right)$ 
D)  $\left( 4 \times 10 ^ { 5 } \right) + \left( 6 \times 10 ^ { 4 } \right) + \left( 2 \times 10 ^ { 3 } \right) + \left( 9 \times 10 ^ { 2 } \right) + \left( 5 \times 10 ^ { 1 } \right)$

Question 20

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

Accepted Answer

A)  1011 
B)  1101 
C)  1100 
D)  111 
A)  1011 
B)  1101 
C)  1100 
D)  111

Write the Roman numeral as a Hindu-Arabic numeral. - $\overline{XL}DCLV$

Write the Babylonian numeral as a Hindu-Arabic numeral. - $< < < 1111$

Convert the numeral to a numeral in the base indicated. -700 to base 16

Subtract in the indicated base. - 30 -10

Multiply using duplation and mediation. -18 × 35

Convert the numeral to a numeral in base 10. - $6 \mathrm { E } _ { 16 }$

Write the Hindu-Arabic numeral in expanded form. -984,284

Convert the base 10 numeral to a numeral in the base indicated. -2874 to base 7

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

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

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

Convert the numeral to a numeral in base 10. - $94_{12}$

Convert the numeral to a numeral in base 10. - $276_{12}$

Multiply in the indicated base. - 6 \times

Convert the base 10 numeral to a numeral in the base indicated. -13,562 to base 8

Write the Hindu-Arabic numeral in expanded form. -1613

Divide in the indicated base. -

Convert the base 10 numeral to a numeral in the base indicated. -68 to base 8

Write the Hindu-Arabic numeral in expanded form. -46,295

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

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

Write the Roman numeral as a Hindu-Arabic numeral. - XL‾DCLV\overline{XL}DCLVXLDCLV

Write the Babylonian numeral as a Hindu-Arabic numeral. - <<<1111< < < 1111<<<1111

Convert the numeral to a numeral in the base indicated. -700 to base 16

Subtract in the indicated base. - 30 -10

Multiply using duplation and mediation. -18 × 35

Convert the numeral to a numeral in base 10. - 6E166 \mathrm { E } _ { 16 }6E16​

Write the Hindu-Arabic numeral in expanded form. -984,284

Convert the base 10 numeral to a numeral in the base indicated. -2874 to base 7

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

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

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

Convert the numeral to a numeral in base 10. - 941294_{12}9412​

Convert the numeral to a numeral in base 10. - 27612276_{12}27612​

Multiply in the indicated base. - 6 \times

Convert the base 10 numeral to a numeral in the base indicated. -13,562 to base 8

Write the Hindu-Arabic numeral in expanded form. -1613

Divide in the indicated base. -

Convert the base 10 numeral to a numeral in the base indicated. -68 to base 8

Write the Hindu-Arabic numeral in expanded form. -46,295

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

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

Write the Roman numeral as a Hindu-Arabic numeral. - $\overline{XL}DCLV$

Write the Babylonian numeral as a Hindu-Arabic numeral. - $< < < 1111$

Convert the numeral to a numeral in base 10. - $6 \mathrm { E } _ { 16 }$

Convert the numeral to a numeral in base 10. - $94_{12}$

Convert the numeral to a numeral in base 10. - $276_{12}$