Relationships Between QuantitiesDay 9 HW

Answer the following questions. You must show ALL work for multiple choice questions to receive full credit!

  1. Which property of real numbers is illustrated by the equation ?

(1) commutative property

(2) associative property

(3) distributive property

(4) identity property of addition

  1. Which property is illustrated by ?

(1) associative(3) distributive

(2) commutative(4) identity

  1. The statement 2 + 0 = 2 is an example of the use of which property of real numbers?

(1)associative(3) additive inverse

(2) additive identity(4) distributive

  1. Which property is illustrated by ?

(1) associative property of addition

(2) associative property of multiplication

(3) distributive property

(4) commutative property of addition

  1. Which property of real numbers is illustrated by ?

(1) additive identity

(2) commutative property of addition

(3) associative property of addition

(4) additive inverse

  1. Which equation illustrates the multiplicative identity element?

(1) x + 0 = x (3)

(2) x – x = 0 (4)

  1. Which equation illustrates the multiplicative inverse property?

(1) (3)

(2) (4)

Identify the property illustrated by each statement.

  1. ______
  1. ______
  1. ______
  1. ______

Fill in the blank.

  1. What is the additive identity element? ______
  1. What is the multiplicative inverse of -4? ______
  1. What number is its own multiplicative inverse? ______
  1. What is the additive inverse of? ______
  1. What is the multiplicative identity element? ______

Determine which of the following sets are closed under the given operation.

  1. Whole Numbers, Multiplication ______
  1. Whole Numbers, Division ______
  1. Integers, Addition ______
  1. Integers, Subtraction ______
  1. Rational Numbers, Division ______
  1. Under which operation is the set closed?

(1) multiplication (3) addition

(2) division (4) subtraction

  1. Under which operation is the set of odd integers closed?

(1) addition(3) multiplication

(2) subtraction(4) division

  1. Which set is closed under division?

(1) {1} (3) integers

(2) counting numbers (4) whole numbers