Calculations Worksheet-26

Calculations Worksheet-26

1. –18 – 24 ÷ (12 – 4) = ?

(a) –24               (b) –4                 (c) 18                  (d) –21

2. Evaluate: 3 + 6 – (7 – 8)

(a) –10               (b) 10                  (c) –6                 (d) 8

3. Place parenthesis in the following problem to make the solution correct.

8 × 0 – 7 + 7 – 5 = –19

(a) (8 × 0) – 7 + 7 – 5                 (b) 8 × 0 – 7 + (7 – 5)

(c) 8 × 0 – (7 + 7) – 5                 (d) 8 × (0 – 7) + 7 – 5

4. Which of the following is an example of Commutative Property of addition?

(a) 2 + 7 = 9 – 2                           (b) 2 + 7 = 7 + 2

(c) 7 × 1 = 7                                    (d) (2 + 7) + 3 = 7 + (3 + 2)

5. Which is an example of Identity Property of addition?

(a) 2 + 3 = 3 + 2                           (b) 1 × 6 = 6

(c) (1 + 2) + 3 = (2 + 3) + 1        (d) 6 + 0 = 6

6. Which is an example of Associative Property of addition?

(a) 3 + (4 + 5) = (3 + 4) + 5       (b) 5 + 3 = 3 + 5

(c) 3 + 0 = 3                                  (d) 3 + (–3) = 0

7. Which statement is NOT correct?

(a) Changing the groupings of the addends will not affect the sum.

(b) Changing the order of the addends will not affect the sum.

(c) Changing the groupings of the addends will affect the sum.

(d) When you add 0 to any real number, the sum is the number itself.

8. Which property of addition does the following expression illustrate?

9 + 0 = 9

(a) Distributive property            (b) Zero Property

(c) Commutative property         (d) Identity property

9. Which property of addition is used in the following?

(5 + 12) + 6 = 5 + (12 + 6)

(a) Commutative Property         (b) Associative Property

(c) Distributive Property            (d) Additive Identity Property

10. Which property of addition is used in the following?

4 × (6 + 3) = 4 × 6 + 4 × 3

(a) Associative Property             (b) Commutative Property

(c) Distributive Property            (d) None of the above

11. Which property will you use to simplify the following expression?

3(y + 2)

(a) Commutative Property         (b) Zero Product Property

(c) Associative Property              (d) Distributive Property

12. Which of the following does not show Commutative Property?

(a) x + y = y + x                            (b) xy – 3 = xy

(c) yx = xy                                      (d) 3 + y = y + 3

13. When simplifying expressions with parentheses, you will be applying the _______.

(a) Distributive Property            (b) Commutative Property

(c) Associative Property              (d) Identity Property

14. Which property is used in the following expression?

3(7 + 4) = 21 + 12

(a) Commutative property of addition

(b) Associative property of multiplication

(c) Distributive property

(d) Associative property of addition.

15. Which property is used in the following expression?

(4 × 3) × 5 = 3 × (5 × 4)

(a) Associative property of multiplication

(b) Distributive property of multiplication

(c) Commutative property of addition.

(d) Multiplicative identity property

16. Simplify: 5(y + z) = ?

(a) 5yz                (b) 5y + 5z         (c) 5y + z            (d) 5z + y

17. The value of any non zero number will be changed by ______ .

(a) multiplying by one                 (b) adding zero

(c) multiplying by zero                (d) dividing by one

18. Which property of multiplication is shown?

(7 + 9) × 4 = 7 × 4 + 9 × 4

(a) Associative property              (b) Identity property

(c) Commutative property         (d) Distributive property

19. Which operation will not change the value of any nonzero number?

(a) multiplying by zero                (b) adding one

(c) multiplying by one                 (d) dividing by zero

20. Which equation shows the zero property of multiplication?

(a) 5 × 6 = 6 × 5                            (b) 5 × 1 = 5

(c) 5 + 5 + 5 = 3 × 5                     (d) 6 × 0 = 0

21. Solve: 6(y + 3 + 4)

(a) 6y + 42                                     (b) 42

(c) 3y + 4y +  6y                            (d) 6y + 4

22. Which equation shows the identity property of multiplication?

(a) (a + b) + 3 = a + (3 + b)       (b) a(b + c) = ab + ac

(c) a + a + a = 3 × a                     (d) a × 1 = a

23. Which equation shows the commutative property of multiplication?

(a) 6 × 3 – 5 × 3 = (6 – 5) × 7   (b) 4 × 3 = 3 × 4

(c) 4 × 4 = 4 + 4 + 4                    (d) 4 × 1 = 4

Answer Key:

(1)-(d); (2)-(b); (3)-(c); (4)-(b); (5)-(d); (6)-(a); (7)-(c); (8)-(d); (9)-(b); (10)-(c); (11)-(d); (12)-(b); (13)-(a); (14)-(c); (15)-(a); (16)-(b); (17)-(c); (18)-(d); (19)-(c); (20)-(d); (21)-(a); (22)-(d); (23)-(b)