Properties of numbers worksheet-2

Properties of numbers worksheet-2

1. Abhi bought a basketball for $23, a pair of running shoes for $35, and a baseball cap for $7. He wrote that equation 23 + 35 + 7 = 23 + 7 + 35. What property did Abhi use?

a. Associative Property of Addition

b. Commutative Property of Addition

c. Distributive Property

d. Identity Property of Multiplication

2. Anju baked 9 trays of cookies. Each tray had 5 rows with 4 cookies in each row. Anju wrote the equation

(9 × 5) × 4 = 9 × (5 × 4). What property did Anju use?

a. Commutative Property of Multiplication

b. Associative Property of Addition

c. Associative Property of Multiplication

d. Distributive Property

3. The property that states that the GROUPING of the factors does not change the product is the ______ Property of Multiplication.

4. The property that states any number multiplied by zero is zero is the _______.

5. Which equation shows the best use of the Commutative Property of Multiplication?

a. 7 × 0 = 0                                     b. 9 × 8 = 8 × 9

c. 16 × 1 = 16                                  d. 7 + 7 + 7 = 21

6. Which addition property is shown below?

4 + 5 = 5 + 4

a. distributive property               b. associative property

c. identity property                      d. commutative property

7. Which addition property shows 9 + 0 = 9?

a. distributive property               b. associative property

c. identity property                      d. commutative property

8. Identify the property used below.

7 + 4 = 11

4 + 7 = 11

a. distributive property               b. associative property

c. identity property                      d. commutative property

9. Which property is shown below? (7 + 4) + 6 = 7 + (4 + 6)

a. distributive property               b. associative property

c. identity property                      d. commutative property

10. The commutative property of multiplication says that you can change the ______ of the numbers in a problem without changing the answer.

11. The associative property of multiplication says that you can change the way you ______ numbers without changing the answer.

12. The distributive property of multiplication says you can _________ a number in a multiplication problem and then ______ the other number to make it easier to mentally do the math.

13. Use the distributive property of multiplication to evaluate the following numerical expression.

12(6 + 5)

14. Solve and tell what multiplication property is used.

2 × 7 × 5 = 5 × 7 × 2 = ?

15. Which multiplication property is shown?

5(3 + 8) = (5 × 3) + (5 × 8)

a. Identity                                      b. Distributive

c. Associative                                d. Commutative

Answers:

1. B
2. C
3. Associative
4. Zero property of multiplication
5. B
6. D
7. C
8. D
9. B
10. Order
11. Group
12. Break apart, distribute
13. (12 × 6) + (12 × 5) = 132
14. Commutative property
15. B