Question 1

Use lattice multiplication to determine the product.
-302 × 85

Accepted Answer

A)  25,660 
B)  25,680 
C)  25,770 
D)  25,670 
A)  25,660 
B)  25,680 
C)  25,770 
D)  25,670

Question 2

Subtract in the indicated base.
-$$\begin{array} { r } 
231_5 \
- \quad 32_5 \
\hline
\end{array}$$

Accepted Answer

A) $ 104_5$ 
B)  $244_5$ 
C)  $143_5$ 
D)  $144_5$ 
A) $ 104_5$ 
B)  $244_5$ 
C)  $143_5$ 
D)  $144_5$

Question 3

Multiply in the indicated base.
-$\begin{array}{r}
64_8 \
\times \quad 4_8 \
\hline
\end{array}$

Accepted Answer

A)  $342_8$ 
B)  $320_8$ 
C) $ 317_8$ 
D)  $326_8$ 
A)  $342_8$ 
B)  $320_8$ 
C) $ 317_8$ 
D)  $326_8$

Question 4

Subtract in the indicated base.
-$$\begin{array} { r } 
\mathrm { FE } 1_{16} \
- \quad 12_{16} \
\hline
\end{array}$$

Accepted Answer

A)  $\mathrm { EFD } _ { 16 }$ 
B)  FDF 16 
C)  $\mathrm { FDC } _ { 16 }$ 
D)  $\mathrm { FCF } _ { 16 }$ 
A)  $\mathrm { EFD } _ { 16 }$ 
B)  FDF 16 
C)  $\mathrm { FDC } _ { 16 }$ 
D)  $\mathrm { FCF } _ { 16 }$

Question 5

Convert the numeral to a numeral in the base indicated.
-1061 to base 15

Accepted Answer

A)  $4 B 9_{15}$ 
B)  $4 \mathrm {~A} 9_{15}$ 
C)  $4 \mathrm { AB } _ { 15 }$ 
D)  $4 \mathrm { BA } _ { 15 }$ 
A)  $4 B 9_{15}$ 
B)  $4 \mathrm {~A} 9_{15}$ 
C)  $4 \mathrm { AB } _ { 15 }$ 
D)  $4 \mathrm { BA } _ { 15 }$

Question 6

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

Accepted Answer

A)  11,000 
B)  110 
C)  1100 
D)  1010 
A)  11,000 
B)  110 
C)  1100 
D)  1010

Question 7

Multiply in the indicated base.
-$\begin{array}{r}
33_5 \
\times \quad 41_5 \
\hline
\end{array}$

Accepted Answer

A)  $1353_5$ 
B)  $3003_5$ 
C)  $2403_5$ 
D) $ 4303_5$ 
A)  $1353_5$ 
B)  $3003_5$ 
C)  $2403_5$ 
D) $ 4303_5$

Question 8

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

Accepted Answer

A)  367 
B)  3607 
C)  3670 
D)  3067 
A)  367 
B)  3607 
C)  3670 
D)  3067

Question 9

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

Accepted Answer

A)  1943 
B)  2143 
C)  2163 
D)  1963 
A)  1943 
B)  2143 
C)  2163 
D)  1963

Question 10

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

Accepted Answer

A)  44 
B)  64 
C)  43 
D)  63 
A)  44 
B)  64 
C)  43 
D)  63

Question 11

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

Accepted Answer

A)  6020 
B)  62 
C)  620 
D)  6200 
A)  6020 
B)  62 
C)  620 
D)  6200

Question 12

Convert the base 10 numeral to a numeral in the base indicated.
-13,562 to base 7

Accepted Answer

A)  $54,353_7$ 
B)  $54,121_7$ 
C)  $53,456_7$ 
D)  $53,743_7$ 
A)  $54,353_7$ 
B)  $54,121_7$ 
C)  $53,456_7$ 
D)  $53,743_7$

Question 13

Add in the indicated base.
-$$\begin{array} { r } 
435_7 \
+ \quad 41_7 \
\hline
\end{array}$$

Accepted Answer

A)  $536_7$ 
B)  $566_7$ 
C)  $406_7$ 
D)  $506_7$ 
A)  $536_7$ 
B)  $566_7$ 
C)  $406_7$ 
D)  $506_7$

Question 14

Multiply in the indicated base.
-$\begin{array}{r}
24_5 \
\times \quad 3_5 \
\hline
\end{array}$

Accepted Answer

A)  $312_5$ 
B)  $132_5$ 
C)  $122_5$ 
D)  $72_5$ 
A)  $312_5$ 
B)  $132_5$ 
C)  $122_5$ 
D)  $72_5$

Question 15

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

Accepted Answer

A)  367 
B)  3670 
C)  3607 
D)  3067 
A)  367 
B)  3670 
C)  3607 
D)  3067

Question 16

Write the numeral as a Hindu-Arabic numeral.
-

Accepted Answer

A)  24,322 
B)  23,322 
C)  21,322 
D)  22,322 
A)  24,322 
B)  23,322 
C)  21,322 
D)  22,322

Question 17

Write the numeral as a Roman numeral.
-842

Accepted Answer

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

Question 18

Write the numeral as a Roman numeral.
-$$503,303$$

Accepted Answer

A)  $\bar { X }$ MMCCCXIII 
B)  $\overline { \mathrm { D } } \mathrm { MMMCCCIII }$ 
C)  $\overline { \mathrm { C } } \mathrm { MMCCIII }$ 
D) $\overline { \mathrm { C } } \mathrm { MMCCCIII }$ 
A)  $\bar { X }$ MMCCCXIII 
B)  $\overline { \mathrm { D } } \mathrm { MMMCCCIII }$ 
C)  $\overline { \mathrm { C } } \mathrm { MMCCIII }$ 
D) $\overline { \mathrm { C } } \mathrm { MMCCCIII }$

Question 19

Divide in the indicated base.
-

Accepted Answer

A)  $102 _ { 3 } \mathrm { R } _ { 3 }$ 
B)  $101 _ { 3 } \mathrm { R } 2 _ { 3 }$ 
C)  $102 _ { 3 }$ 
D)  $120 _ { 3 } \mathrm { R } _ { 3 }$ 
A)  $102 _ { 3 } \mathrm { R } _ { 3 }$ 
B)  $101 _ { 3 } \mathrm { R } 2 _ { 3 }$ 
C)  $102 _ { 3 }$ 
D)  $120 _ { 3 } \mathrm { R } _ { 3 }$

Question 20

Write the numeral as a Hindu-Arabic numeral.
-$\pi \beta$

Accepted Answer

A)  89 
B)  82 
C)  87 
D)  85 
A)  89 
B)  82 
C)  87 
D)  85

Use lattice multiplication to determine the product. -302 × 85

Subtract in the indicated base. - 23 -3

Multiply in the indicated base. - 6 \times

Subtract in the indicated base. - -1

Convert the numeral to a numeral in the base indicated. -1061 to base 15

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

Multiply in the indicated base. - 3 \times4

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

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

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

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

Convert the base 10 numeral to a numeral in the base indicated. -13,562 to base 7

Add in the indicated base. - 43 +4

Multiply in the indicated base. - 2 \times

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

Write the numeral as a Hindu-Arabic numeral. -

Write the numeral as a Roman numeral. -842

Write the numeral as a Roman numeral. - $503,303$

Divide in the indicated base. -

Write the numeral as a Hindu-Arabic numeral. - $\pi \beta$

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. -302 × 85

Subtract in the indicated base. - 23 -3

Multiply in the indicated base. - 6 \times

Subtract in the indicated base. - -1

Convert the numeral to a numeral in the base indicated. -1061 to base 15

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

Multiply in the indicated base. - 3 \times4

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

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

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

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

Convert the base 10 numeral to a numeral in the base indicated. -13,562 to base 7

Add in the indicated base. - 43 +4

Multiply in the indicated base. - 2 \times

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

Write the numeral as a Hindu-Arabic numeral. -

Write the numeral as a Roman numeral. -842

Write the numeral as a Roman numeral. - 503,303503,303503,303

Divide in the indicated base. -

Write the numeral as a Hindu-Arabic numeral. - πβ\pi \betaπβ

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 numeral as a Roman numeral. - $503,303$

Write the numeral as a Hindu-Arabic numeral. - $\pi \beta$