Which of the following rational numbers is the greatest?

(a)

\(\frac { -17 }{ 24 } \)

(b)

\(\frac { -13 }{ 16 } \)

(c)

\(\frac { 7 }{ -8 } \)

(d)

\(\frac { -31 }{ 32 } \)

The standard form of the sum \(\frac { 3 }{ 4 } +\frac { 5 }{ 6 } +\left( \frac { -7 }{ 12 } \right) \) is

(a)

\(\frac { 1 }{ 22 } \)

(b)

\(\frac { -1 }{ 2 } \)

(c)

\(\frac { 1 }{ 12 } \)

(d)

1

The rational number (numbers) which has (have) additive inverse is (are)

(a)

7

(b)

\(\frac { -5 }{ 7 } \)

(c)

0

(d)

all of these

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \) = 

(a)

\(\frac { 13 }{ 10 } \)

(b)

\(\frac { 2 }{ 3 } \)

(c)

\(\frac { 3 }{ 2 } \)

(d)

\(\frac { 5 }{ 8 } \)

Which of the following illustrates the inverse property for addition?

(a)

\(\frac { 1 }{ 8 } -\frac { 1 }{ 8 } =0\)

(b)

\(\frac { 1 }{ 8 } +\frac { 1 }{ 8 } =\frac { 1 }{ 4 } \)

(c)

\(\frac { 1 }{ 8 } +0=\frac { 1 }{ 8 } \)

(d)

\(\frac { 1 }{ 8 } -0=\frac { 1 }{ 8 } \)

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

(a)

commutative

(b)

closure

(c)

distributive

(d)

associative

Which of the following is not an equivalent fraction of \(\frac{8}{12}\)?

(a)

\(\frac{2}{3}\)

(b)

\(\frac{16}{24}\)

(c)

\(\frac{32}{16}\)

(d)

\(\frac{24}{36}\)

\(\frac{5}{6}\div\frac{6}{2}\) is 

(a)

\(\frac{5}{2}\)

(b)

\(\frac{2}{5}\)

(c)

\(\frac{5}{18}\)

(d)

\(\frac{30}{12}\)

\(\frac { 1 }{ 2 } \times \left( \frac { 2 }{ 3 } +\frac { 6 }{ 4 } \right) =\left( \frac { 1 }{ 2 } +\frac { 2 }{ 3 } \right) +\left( \frac { 1 }{ 2 } \times \_ \_ \right) \)

(a)

\(\frac{1}{2}\)

(b)

\(\frac{2}{3}\)

(c)

\(\frac{4}{6}\)

(d)

0

\(\frac { 1 }{ 2 } \times \left( \frac { 1 }{ 3 } +\frac { 1 }{ 4 } \right) =\left( \frac { 1 }{ 2 } +\frac { 1 }{ 3 } \right) +\frac { 1 }{ 4 } \)

(a)

Closure property

(b)

Associative property

(c)

Distributive property

(d)

Commutative property