Free Printable Properties of Integers

1.

According to commutative property, a x b =

a)

b x a

b)

-( b x a )

c)

1/(b x a )

d)

-1/ (b x a )

2.

Which property is used in this ? 8 + (3 + 4) =( 8 + 3) + 4

a)

Associative Addition

b)

Associative Multiplication

c)

Commutative Addition

d)

Commutative Multiplication

3.

Which property is used in this ? 9 x 2 = 2 x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse property

d)

Distributive Property

4.

Closure property of integers states that if a and b are integers then a + b = c, is also an integer ?

a)

True

b)

False

5.

Which property is used in this ? 7 x (12-9) = (7 x 12) - (7 x 9)

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Identity Property

6.

The product of a positive and a negative integer is negative

a)

True

b)

False

7.

The product of odd number of negative integers is a negative integer

a)

True

b)

False

8.

Integers are closed under subtraction

a)

True

b)

False

9.

When we change the order of Integers. Their difference remains the same.

a)

True

b)

False

10.

( -5) x ( 33) = 5 x (-33)

a)

True

b)

False

11.

What is the additive inverse -30

a)

31

b)

90

c)

60

d)

30

12.

(-20) x ( 5 - 3) = (-20) x ( - 2)

a)

True

b)

False

13.

Which of the following is the multiplicative identity for an integer a ?

a)

a

b)

1

c)

0

d)

-1

14.

Which of the following does not represent an integer ?

a)

( - 12) / 5

b)

(-9) + 3

c)

20 + ( - 9) + 3

d)

0 + (-7)

15.

For non-zero integer a which of the following is not defined ?

a)

1 / a

b)

a / 1

c)

0 / a

d)

a / 0

16.

17 is the additive inverse of which integer?

a)

17

b)

– 17

c)

1/7

d)

– 1/7

17.

Which of the following operations shows an example of zero property of multiplication?

a)

6 x 0 = 0

b)

7 + (-7) = 0

c)

7 – 7 = 0

d)

7 + 0 = 7

18.

– 4 + 0 = - 4 illustrates what property?

a)

Inverse

b)

Zero product

c)

Reflexive

d)

Identity

19.

What is the multiplicative inverse of 2/3?

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

20.

What is the additive inverse of 2/3?

a)

-2/3

b)

3/2

c)

2/3

d)

-3/2

21.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

22.

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

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

23.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

24.

It states that any number multiplied by 1 is equal to the number:

a x 1 = a

a)

Identity Property of Addition

b)

Identity Property of Multiplication

c)

Zero Property

25.

This states that any number multiplied by zero is equal to 0:

a x 0 = 0

a)

Identity Property of Addition

b)

Identity Property of Multiplication

c)

Zero Property

26.

It states that the sum of a number and its opposite is 0.

a)

Zero Property

b)

Multiplicative Inverse Property

c)

Additive Inverse property

27.

Which of the following is an example of zero property of multiplication?

a)

$7+\left(-7\right)$

b)

$-7\times0=0$

c)

$7-7=0$

d)

$7+0=7$

28.

What is the multiplicative inverse of - ¼?

a)

– 4

b)

4

c)

$\frac{-1}{4}$

d)

$\frac{1}{4}$

29.

17 is the additive inverse of which integer?

a)

17

b)

– 17

c)

1/7

d)

– 1/7

30.

Closure property of integers states that if a and b are integers then a + b = c, is also an integer ?

a)

True

b)

False

31.

What is the additive inverse of –10?

a)

-10

b)

$\frac{-1}{10}$

c)

$\frac{1}{10}$

d)

10

32.

Applying Distributive property, given 4 (x – 4) will be equal to

a)

4x + 16

b)

4 – (x – 4)

c)

4x – 0

d)

4x – 16

33.

Use the distributive property to simplify:

-2 (x - 5) =

a)

-2x - 5

b)

-2x + 10

c)

-2x - 10

d)

-2x - 7

34.

Use the distributive property to simplify:

-5(x+3) =

a)

-5x + 3

b)

-5x + 15

c)

-5x - 15

d)

-5x - 3

35.

-8(0)=

a)

-8

b)

8

c)

0

d)

-0

36.

$28+\left(-30\right)$

a)

$-2$

b)

$-58$

c)

$58$

d)

$2$

37.

$\left(-2\right)+7$

a)

$-5$

b)

$5$

c)

$-9$

d)

$9$

38.

$-5+3$

a)

$-8$

b)

$8$

c)

$-2$

d)

$2$

39.

$\left(-3\right)+\left(-4\right)$

a)

$1$

b)

$-1$

c)

$7$

d)

$-7$

40.

$6+\left(-6\right)$

a)

$-12$

b)

$-36$

c)

$0$

d)

$12$

41.

(-4) - 5

a)

-9

b)

-6

c)

9

d)

1

42.

(-9) - (+3)

a)

-12

b)

-6

c)

6

d)

12

43.

-8 - (-4)

a)

12

b)

-12

c)

4

d)

-4

44.

(-6)(5)

a)

30

b)

-30

45.

-5 x 4

a)

9

b)

-9

c)

20

d)

-20

46.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

47.

5(-4)

a)

-20

b)

20

c)

1

d)

-1

48.

-8(4)

a)

-32

b)

4

c)

32

d)

-4

49.

-8(0)=

a)

-8

b)

8

c)

0

d)

-0

50.

-7(-7)

a)

49

b)

14

c)

-49

d)

-14

51.

-9(-4)

a)

36

b)

-13

c)

13

d)

-36

52.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

53.

(-12) / (-4)

a)

3

b)

-3

c)

-16

d)

-8

54.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

55.

(-16) / 8

a)

2

b)

-2

c)

-8

d)

-24

Properties of Integers

Total questions: 55

Worksheet time: 55mins

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