PROPERTIES OF ADDITION WORKSHEET

In questions 1-5, select the property that is being illustrated.

Question 1 :

-5 + 7 = 7 + (-5)

(A) Associative Property of Addition

(B) Commutative Property of Addition

(C) Distributive Property

(D) Property of Additive Inverse

Question 2 :

7 + (9 + 13) = (7 + 9) + 13

A) Distributive Property

B) Property of Additive Inverse

C) Associative Property of Addition

D) Commutative Property of Addition

Question 3 :

2 + (3 + 5) = 2 + (5 + 3)

(A) Distributive Property

(B) Property of Additive Inverse

(C) Associative Property of Addition

(D) Commutative Property of Addition

Question 4 :

5(7 + 4) = 5(7) + 5(4)

(A) Commutative Property of Addition

(B) Associative Property of Addition

(C) Addition Property of Equality

(D) Distributive Property

Question 5 :

x + 0 = x

(A) Commutative Property of Addition

(B) Associative Property of Addition

(C) Property of Additive Inverse

(D) Identity Property of Addition

In questions 6-10, choose the answer the best answers the question. 

Question 6 :

Which of the following is an illustration of the commutative property of addition?

(A) x(y + z) = xy + xz

(B) xy + 0 = xy

(C) x + (y + z) = (x + y) + z

(D) x + y = y + x

Question 7 :

Which of the following is an illustration of the associative property of addition?

(A) a(b + c) = ab + ac

(B) ab + 0 = ab

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

(D) a + b = b + a

Question 8 :

Which statement best illustrates the identity property of addition?

(A) 6 + 2 = 2 + 6

(B) 6 + 0 = 6

(C) 6 + (-6) = 0

(D) 6(2) = 2(6)

Question 9 :

Which statement best illustrates the inverse property of addition?

(A) 3 + 3 = 6

(B) -3 + 3 = 0

(C) 3 + 0 = 3

(D) 3(1) = 3

Question 10 :

If x = y, which statement best illustrates the addition property of equality?

(A) 3x = 3y

(B) x + 0 = x

(C) y + 0 = y

(D) x + 3 = y + 3

Question 11 :

Given an example for commutative property of addition.

Question 12 :

Given an example for associative property of addition.

Question 13 :

Given an example for identity property of addition.

Question 14 :

Given an example for property of additive inverse.

Question 15 :

Find the addition of 6.897 and 0.

Question 16 :

Find the addition of -5 and 5.

Question 17 :

Evaluate the following multiplication using distributive property of multiplication over addition.

6.5(4 + 8)

Question 18 :

Find the value of x :

x - 7 = 0

Question 19 :

Find the value of x :

x - 2 = 5

Question 20 :

13 less than  a number is equal to 7. Find the number.

Answers

1. Answer :

(B) Commutative Property of Addition

2. Answer :

(C) Associative Property of Addition

3. Answer :

(D) Commutative Property of Addition

4. Answer :

(D) Distributive Property

5. Answer :

(D) Identity Property of Addition

6. Answer :

(D) x + y = y + x

7. Answer :

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

8. Answer :

(B) 6 + 0 = 6

9. Answer :

(B) -3 + 3 = 0

10. Answer :

(D) x + 3 = y + 3

11. Answer :

(-2) + 9 = 9 + (-2)

12. Answer :

9 + (2 + 8) = (9 + 2) + 8

13. Answer :

8 + 0 = 0 + 8 = 0

14. Answer :

9 + (-9) = (-9) + 9 = 0

15. Answer :

According identity property of addition, the addition of any number and zero is always equal to the number itself.

So,

6.897 + 0 = 6.897

16. Answer :

The given two numbers -5 and 5 are additive inverse to each other.

According to the property of additive inverse, the sum of a real number and its additive inverse is zero.

(-5) + 5 = 0

17. Answer :

6.5(4 + 8) = 6.5 x 4 + 6.5 x 8

= 26 + 52

= 78

18. Answer :

We can find the value of x in the given equation, using addition property of equality. That is, two sides of an equation remain equal, if the same number is added to each side.

x - 7 = 0

Add 7 to both sides.

(x - 7) + 7 = 0 + 7

x - 7 + 7 = 7

x = 7

19. Answer :

x - 2 = 5

Using addition property of equality, add 2 to both sides.

(x - 2) + 2 = 5 + 2

x - 2 + 2 = 7

x = 7

20. Answer :

Let x be the number.

It is given that 13 less than the number is equal to 7.

x - 13 = 7

Using addition property of equality, add 13 to both sides.

(x - 13) + 13 = 7 + 13

x - 13 + 13 = 20

x = 20

So, the number is 20.

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