Properties of Operations on the Set of Integers (Assessment)

Quiz by Maribel Marzan

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- Q1
Identify the following numbers.

sorting://rational|-2

*/*3 ,-6/7,9/−5:irrational|π,√3,φ,30s - Q2
What is the multiplicative identity of an integer?

0

-1

any integer

1

30s - Q3
Given the set {- 2, - 1, 0, 1, 2}, what is the additive inverse of 1?

2

– 2

1

-1

30s - Q4
Any integer added by its inverse will always be equal to 0. What property is illustrated in the statement?

Multiplicative Identity Property

Multiplicative Inverse Property

Additive Identity Property

Additive Inverse Property

30s - Q5
Which property is illustrated by 4 ∙ 5 = 5 ∙ 4?

Commutative Property of Multiplication

Identity Property of Multiplication

Inverse Property of Multiplication

Associative Property of Multiplication

30s - Q6
What property proves that 15 + 8 = 8 + 15?

Inverse Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Addition

30s - Q7
This property of operation on integers states that “the sum of any number and zero is equal to that number”.

Commutative Property

Associative Property

Closure Property

Identity Property

30s - Q8
Which states the commutative property of multiplication?

The numbers can be grouped in any order.

The integers can be added in any order.

The factors can be multiplied in any order.

The integers can be divided in any order.

30s - Q9
Which of the following statements illustrate the distributive property?

2(3) = 3(2)

(3 +2) + 4 = 3 + (2 + 4)

3(2 + 4) = 3(2) + 3(4)

2 + 3 = 3 + 2

30s - Q10
Which statement justifies that the associative property is not true for subtraction?

15 – 9 – 6 ≠ 6 – 9 – 15

15 – 9 ≠ 9 – 15

(15 – 9) – 6 ≠ 15 – (9 – 6)

15 – (9 – 6) ≠ (15 – 9) – (15 – 6)

30s - Q11
Which of the following shows the Closure Property of addition for the set of integers?

8 ∙ 9 = 72

5 + 82 = 87

(6 + 7) + 8 = 13 + 8

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

30s - Q12
Which of the following shows the correct use of the distributive property?

4(6 + 7) = (4 + 6) ∙ (6 + 7)

4(6 + 7) = (4 + 6) ∙ (4 + 7)

4(6 + 7) = 4(6) + 4(7)

4(6 + 7) = (4∙ 6) + 7

30s - Q13
Identify the property of addition that is used in 9 + 6 = 15.

Closure Property

Commutative Property

Identity Property

Distributive Property

30s - Q14
Tell whether 7 ∙ (6 ∙ 4) = (7 ∙ 6) ∙ 4 shows commutative property or associative property?

Commutative Property

Associative Property

Neither

Both

30s - Q15
In using the distributive property, which is equivalent to – 5(3 – 8)?

– 15 – 40

– 15 + 40

– 15 – 8

– 15 + 8

30s