properties of rational numbers

What is the multiplicative inverse of 2/3?

• -2/3
• 3/2
• -3/2
• 2/3

This is an example of which property:
(2⋅3)4=(3⋅2)4

• Associative
• Commutative
• Inverse
• Identity

Identify the property
a(b + c) = ab + ac

• Associative of addtion
• Distributive
• Commutative of addition
• Inverse

Which property does this represent:  $3(9+4)=3\cdot9+3\cdot4$  

• Commutative Property of Addition

• Distributive Property

• Associative Property of Multiplication

• Addition Property of Equality

Which property does this represent:

(5 + 7) + 6 = 5 + (7 + 6)

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Distributive Property

The sum of 2 rational numbers is always a rational number ,this is indicator of which propery

• commutative

• closure

• distributive

• associative

The reciprocal of a negative rational number _____

• is a positive rational number

• is a negative rational number

• can be either a positive or a negative rational number

• does not exist

0 is called:

• Identity element for the multiplication of the rational numbers

• Identity element for the addition of rational numbers

• Identity element for the subtraction of rational numbers

• None of these

If a + (-a )= 0; then ( -a ) is called

• Additive identity of a

• additive inverse of a

• Multiplicative identity of a

• None of these

The product of a rational number and its reciprocal is-

• 0

• 1

• -1

• None of these