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Worksheets

PROPERTIES

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Closure Property under addition

a)

a + b = ∈ I

b)

a + b = b + a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac

2.

Commutative Property of addition

a)

a + b = ∈ I

b)

a + b = b + a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac

3.

Associative Property of addition

a)

a + b = ∈ I

b)

a + b = b + a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac

4.

Distributive Property

a)

a + b = ∈ I

b)

a + b = b + a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac

5.

Closure Property of Multiplication

a)

ab = ∈ I

b)

ab = ba

c)

(ab) c = a (bc)

d)

a( 1 ) = a

6.

Commutative Property of Multiplication

a)

ab = ∈ I

b)

ab = ba

c)

(ab) c = a (bc)

d)

a( 1 ) = a

7.

Associative Property of Multiplication

a)

ab = ∈ I

b)

ab = ba

c)

(ab) c = a (bc)

d)

a( 1 ) = a

8.

Multiplicative Identity Property

a)

ab = ∈ I

b)

ab = ba

c)

(ab) c = a (bc)

d)

a( 1 ) = a

9.

Additive Inverse Property

a)

a + (-a) = 0

b)

a + b = b + a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac

10.

Additive Identity Property

a)

a + (-a) = 0

b)

a + 0 = a

c)

(a + b) + c = a + (b+ c)

d)

a(b + c) = ab + ac