Rational Numbers Test

Result

Rational Numbers Test - 34

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Weekly Quiz Competition

Question 1
1 / -0

The product of rational number $$\dfrac{-2}{3}$$ and its additive inverse is

A
1

B
$$\dfrac{2}{3}$$

C
$$\dfrac{4}{9}$$

D
$$\dfrac{-4}{9}$$

Solution

Additive
inverse of $$\dfrac{-2}{3}$$ is $$\dfrac{2}{3}$$

$$\dfrac{-2}{3}$$
is $$\dfrac{2}{3}=\dfrac{-4}{9}$$
Question 2
1 / -0

Find the value of following expression-
$$\dfrac { -4 }{ 5 } \times \dfrac { 3 }{ 7 } \times \dfrac { 15 }{ 16 } \times \dfrac { -14 }{ 9 }$$

A
$$\dfrac { 1 }{ 2 }$$

B
$$\dfrac { 1 }{ 4 }$$

C
$$\dfrac { 1 }{ 3 }$$

D
$$\dfrac { 3 }{ 4 }$$

Solution
Question 3
1 / -0

Solve following equation-
$$\dfrac { 3 }{ 7 } +\left( \dfrac { -6 }{ 11 } \right) +\left( \dfrac { -8 }{ 21 } \right) +\left( \dfrac { 5 }{ 22 } \right)$$

A
$$\dfrac { -125 }{ 462 }$$

B
$$\dfrac { 125 }{ 462 }$$

C
$$\dfrac { 462 }{ 125 }$$

D
$$\dfrac { -462 }{ 125 }$$
Question 4
1 / -0

Find,
$$\dfrac { -2 }{ 3 } \times \dfrac { 3 }{ 5 } +\dfrac { 5 }{ 2 } -\dfrac { 3 }{ 5 } \times \dfrac { 1 }{ 6 }$$

A
$$-2$$

B
$$2$$

C
$$0$$

D
$$1$$

Solution
Question 5
1 / -0

State which property is used in following operation-
$$\dfrac { -19 }{ 29 } \times \dfrac { 29 }{ -19 } =1$$

A
Additive inverse

B
multiplicative inverse

C
commutative

D
Associative
Question 6
1 / -0

Find
$$\dfrac { 2 }{ 5 } \times \dfrac { -3 }{ 7 } -\dfrac { 1 }{ 14 } -\dfrac { 3 }{ 7 } \times \dfrac { 3 }{ 5 }$$

A
$$2$$

B
$$\dfrac { 1 }{ 2 }$$

C
$$-2$$

D
$$\dfrac { -1 }{ 2 }$$

Solution
Question 7
1 / -0

Find multiplicative inverse of the following-
$$\dfrac { -5 }{ 8 } \times \dfrac { -3 }{ 7 }$$

A
$$\dfrac { 15 }{ 56 }$$

B
$$\dfrac { 56 }{ 15 }$$

C
$$\dfrac { -15 }{ 56 }$$

D
$$\dfrac { -56 }{ 15 }$$
Question 8
1 / -0

Name which property is used in following operation-
$$\dfrac { 1 }{ 2 } \times \left( 5\times \dfrac { 2 }{ 5 } \right) =\left( \dfrac { 1 }{ 2 } \times 5 \right) \times \dfrac { 2 }{ 5 }$$

A
Associative

B
Reciprocal

C
Commutative

D
Additive inverse

Solution
Question 9
1 / -0

Name the property which is used in following operation-
$$\dfrac { -4 }{ 5 } \times 1=1\times \dfrac { -4 }{ 5 } =\dfrac { -4 }{ 5 }$$

A
Distributive

B
Associative

C
Commutative

D
None of the above

Solution
Question 10
1 / -0

Solve
$$\dfrac { 2 }{ 5 } \times \left( \dfrac { -3 }{ 7 } \right) -\dfrac { 1 }{ 6 } \times \dfrac { 3 }{ 2 } +\dfrac { 1 }{ 14 } \times \dfrac { 2 }{ 5 }$$

A
$$\dfrac { 28 }{ 11 }$$

B
$$\dfrac { 11 }{ 28 }$$

C
$$\dfrac { -28 }{ 11 }$$

D
$$\dfrac { -11 }{ 28 }$$

Solution