Deck 3: Numeration Systems and Whole Number Operations

Question 1

Indicate which digit in 5,138,353 has place value hundred thousands.

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

Answer 1

B

Question 2

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

Answer 2

B

Question 3

Indicate which digit in 54,972 has place value thousands.

A)0
B)7
C)4
D)9

Answer 3

C

Question 4

Write the numeral in words.
6,200,583

A)six million, two thousand, five hundred eighty-three
B)sixty-two thousand, five hundred eighty-three
C)six million, two hundred thousand, five hundred eighty-three
D)six million, twenty thousand, five hundred eighty-three

Question 5

Question 6

Question 7

Question 8

Question 9

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

Question 10

Question 11

Question 12

Question 13

Write the numeral in words.
89,008,800,397

A)eight hundred nine billion, eight million, eight thousand, three hundred ninety-seven
B)eighty-nine billion, eight million, eighty thousand, three hundred ninety-seven
C)eighty-nine billion, eight million, eight hundred thousand, three hundred ninety-seven
D)eight hundred nine billion, eight million, eight hundred thousand, three hundred ninety-seven

Question 14

Question 15

Question 16

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

Question 17

Question 18

Question 19

Question 20

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

Question 21

72,302; Mayan

Question 22

MMMCCX

A)3210
B)321,000
C)321
D)32,100

Question 23

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
3063; Egyptian

Question 24

Convert the base-ten number to a number in the indicated base.
329 to base six

Question 25

MCMLXVI

A)2146
B)1946
C)2166
D)1966

Question 26

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

Question 27

396 to base twelve

Question 28

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

Question 29

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
1100; Egyptian

Question 30

XLI

A)41
B)44
C)64
D)61

Question 31

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

Question 32

Question 33

2022; Roman

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

Question 34

Question 35

46 to base twelve

A)4Ltwelve
B)4Etwelve
C)3Ttwelve
D)2Etwelve

Question 36

999; Roman

A)IM
B)CMXCIX
C)MCXCIX
D)IXM

Question 37

100; Mayan

Question 38

Convert the base-ten number to a number in the indicated base.
12 to base six

Question 39

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

Question 40

842; Roman

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

Question 41

Question 42

Question 43

2,874 to base five

A)42,444five
B)42,422five
C)42,424five
D)42,222five

Question 44

Convert the following.
998 minutes to hours and minutes

A)16 hr and 42 min
B)16 hr and 28 min
C)16 hr and 48 min
D)16 hr and 38 min

Question 45

Convert the following.
632 seconds to minutes and seconds

A)11 min and 32 sec
B)12 min and 32 sec
C)13 min and 32 sec
D)10 min and 32 sec

Question 46

503 to base five

A)4003five
B)3004five
C)3040five
D)4030five

Question 47

Convert the following.
232 ounces to pounds and ounces

A)14 lb and 9 oz
B)15 lb and 8 oz
C)14 lb and 8 oz
D)16 lb and 8 oz

Question 48

Convert the following.
480 centimeters to meters and centimeters

A)4 m and 80 cm
B)104 m and 80 cm
C)14 m and 80 cm
D)4 m and 30 cm

Question 49

Question 50

Question 51

503 to base eight

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

Question 52

Question 53

Question 54

Convert the following.
74 days to weeks and days

A)9 weeks and 4 days
B)14 weeks and 5 days
C)10 weeks and 3 days
D)10 weeks and 4 days

Question 55

Question 56

2,874 to base eight

A)4572eight
B)5427eight
C)4527eight
D)5472eight

Question 57

Question 58

Question 59

13,562 to base eight

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

Question 60

Question 61

Convert the following.
You work 2 hours each weekday, and sometimes you work 8 hours on Saturday. What is the maximum number of hours you might work during any given week?

A)10
B)40
C)18
D)26

Question 62

Question 63

What is the largest 3-digit number in base five if you can use any digit only once?

Question 64

Given that · ··· represents the number 13 and ··· · represents the number 31, what does ·· ···
represent?

Question 65

Convert the following.
44 inches to feet and inches

A)3 ft and 8 in.
B)3 ft and 9 in.
C)4 ft and 8 in.
D)5 ft and 8 in.

Question 66

If 56ten = bfive then what is b?

Question 67

Convert the following.
Pat withdrew $495 from an ATM. If the ATM gives $100, $20, and $5 bills such that the total number of bills is the least, then how many of each type of bill did Pat get?

A)4 $100-bills, 3 $20-bills, and 7 $5-bills
B)5 $100-bills, zero $20-bills, and 3 $5-bills
C)4 $100-bills, 4 $20-bills, and 3 $5-bills
D)3 $100-bills, 9 $20-bills, and 3 $5-bills

Question 68

Convert the following.
You have two times as many dimes as quarters and the same number of quarters and nickels in your pocket. If there are 4 quarters in your pocket, what is the maximum number of single dollar
Bills you can get in exchange for your loose change? Would you have any change left over?

A)2, Yes
B)3, No
C)3, Yes
D)2, No

Question 69

Question 70

Question 71

What is the smallest 3-digit number in base seven?

Question 72

Convert the following.
Two different 3-digit numbers contain the same digits. These digits are consecutive digits. What is the greatest difference possible between the two numbers?

A)199
B)200
C)197
D)198

Question 73

Question 74

Convert the following.
45 months to years and months

A)4 yr and 9 mo
B)3 yr and 10 mo
C)3 yr and 9 mo
D)5 yr and 9 mo

Question 75

Convert the following.
The sum of the digits of a 3-digit number is 18. The units digit is one less than the tens digit and the tens digit is one less than the hundreds. What is the number?

A)865
B)876
C)765
D)None of these

Question 76

Given that · ·· represents the number 12 and ·· · represents the number 21, what does ··· ···
represent?

Question 77

Write the base-four numeral for the base-four blocks shown.

Question 78

Convert the following.
105 hours to days and hours

A)4 days and 9 hr
B)5 days and 9 hr
C)6 days and 9 hr
D)4 days and 10 hr

Question 79

Question 80