Questions from Survey of Mathematics

Q: Is the set of rational numbers a group under the operation of

Is the set of rational numbers a group under the operation of subtraction?

Q: Use Table 9.1 on page 529 to determine the sum

Use Table 9.1 on page 529 to determine the sum in clock 12 arithmetic. 18 + 72 + 6

Q: Is the set of irrational numbers a group under the operation of

Is the set of irrational numbers a group under the operation of multiplication

Q: Determine the difference in clock 12 arithmetic by starting at the first

Determine the difference in clock 12 arithmetic by starting at the first number and counting counterclockwise on the clock the number of units given by the second number. 11 – 8

Q: Give the commutative property of multiplication and illustrate the property with an

Give the commutative property of multiplication and illustrate the property with an example.

Q: Determine the difference in clock 12 arithmetic by starting at the first

Determine the difference in clock 12 arithmetic by starting at the first number and counting counterclockwise on the clock the number of units given by the second number. 1 – 12

Q: Give the associative property of addition and illustrate the property with an

Give the associative property of addition and illustrate the property with an example.

Q: Determine the difference in clock 12 arithmetic by starting at the first

Determine the difference in clock 12 arithmetic by starting at the first number and counting counterclockwise on the clock the number of units given by the second number. 5 – 8

Q: Give an example to show that the commutative property does not hold

Give an example to show that the commutative property does not hold for the set of integers under the operation of division.

Q: Determine the difference in clock 12 arithmetic by starting at the first

Determine the difference in clock 12 arithmetic by starting at the first number and counting counterclockwise on the clock the number of units given by the second number. 12 – 12