Deck 14: Available Online: Other Mathematical Systems

Question 1

Perform the multiplication on the 12-hour clock.
6 × (12 × 3)

A)11
B)12
C)9
D)10

Answer 1

B

Question 2

Find the equivalent number on the 12-hour clock.
368

A)8
B)9
C)7
D)6

Answer 2

A

Question 3

Perform the multiplication on the 12-hour clock.
10 × 2

A)9
B)7
C)8
D)10

Answer 3

C

Question 4

Use the system shown to find s * s.

A)r
B)t
C)s
D)q

Question 5

In the system shown,

Question 6

Use the system shown to find t * (r * q).

A)s
B)q
C)t
D)r

Question 7

Perform the addition on the 10-hour clock.
4 + 9

A)3
B)4
C)7
D)2

Question 8

Determine which properties the given mathematical system exhibits. Identify any systems that are
Groups or Abelian groups.

A)closure, commutative, identity, inverse, associative; Abelian group
B)closure, commutative
C)closure, commutative, identity
D)closure, commutative, identity, inverse

Question 9

Use the system shown to find r * s.

A)s
B)r
C)q
D)t

Question 10

Determine which properties the given mathematical system exhibits. Identify any systems that are
Groups or Abelian groups.

A)closure, commutative, identity
B)closure, commutative
C)closure, commutative, identity, inverse, associative; Abelian group
D)closure, commutative, identity, inverse

Question 11

Find the equivalent number on the 12-hour clock.
-116

A)5
B)3
C)2
D)4

Question 12

Determine whether the given system forms (a)a group and (b)an Abelian group.
{-2, 0, 2} under addition

A)Abelian group
B)a group but not an Abelian group
C)not a group
D)Abelian group but not a group

Question 13

Perform the subtraction on the 12-hour clock.
4 - 5

Question 14

In the system shown, is there an identity for the operation?

A)Yes, r is the identity.
B)No, there is no identity.
C)Yes, t is the identity.
D)Yes, s is the identity.
E)Yes, q is the identity.

Question 15

Perform the addition on the 12-hour clock.
4 + 12

Question 16

Perform the addition on the 12-hour clock.
(7 + 3)+ 8

Question 17

Determine whether the given system forms (a)a group and (b)an Abelian group.
Even integers under addition

A)a group but not an Abelian group
B)not a group
C)Abelian group
D)Abelian group but not a group

Question 18

In the system shown, find the value for x when q * x = r.

A)r
B)s
C)t
D)q

Question 19

In the system shown, is the operation commutative?

A)No
B)Yes

Question 20

Is the system shown closed under the operation?

A)Yes
B)No

Question 21

On a game board, there is a spinner that has spaces marked 1 through 11 in order. The pointer is on
The 9 and Shira spins it so that it spins past 65 spaces and lands exactly on a number. What number
Does the spinner land on?

A)7
B)8
C)6
D)3

Question 22

The following is an example using the 12-hour clock of which property?
3(2 + 5)= 3(2)+ 3(5)

Question 23

Find the value of y using the 12-hour clock.
y - 9 = 10

Question 24

Perform the multiplication on the 13-hour clock.
8 × 10

A)11
B)12
C)2
D)6

Question 25

Evaluate (4 - 1)- 8 mod 11.

A)7
B)6
C)-5
D)5

Question 26

Evaluate 9 × (2 - 9)mod 10.

Question 27

Evaluate (4 + 11)+ 4 mod 12.

A)8
B)7
C)6
D)19

Question 28

Find the additive inverse of 5 on the 12-hour clock.

Question 29

Find 10 × 11 mod 12.

Question 30

Evaluate (5 × 4)× 10 mod 11.

A)3
B)200
C)2
D)1

Question 31

Evaluate 9 - (2 - 4)mod 11.

Question 32

Find 378 mod 5.

Question 33

Find the additive inverse of -7 on the 12-hour clock.

Question 34

Find the multiplicative inverse of 9 on the 12-hour clock if it exists.

Question 35

Find 8 + 5 mod 10.

Question 36

Find the value of y using the 12-hour clock.
8 + y = 4

Question 37

Which property is not true for all numbers on the 12-hour clock?

A)Identity property for multiplication
B)Closure property for addition
C)Inverse property for multiplication
D)Identity property for addition