Grade 3 Multiplication Properties & Distributive Rule Worksheet - 20 Objective & 10 Subjective Questions

Instructions

Read each question carefully. For the first part, fill in the blank or circle the best answer. For the second part, write your answers and show your work in the space provided.

Part 1: Quick Questions

1. 4 x 7 = 7 x ___
2. 15 x 1 = ___
3. 8 x 0 = ___
4. If 5 x 9 = 45, then 9 x 5 = ___.
5. Any number multiplied by 0 is always:
   A) 1
   B) 0
   C) The number itself
6. 6 x 6 = ___
7. 8 x 7 = ___
8. Any number multiplied by 1 is always:
   A) 1
   B) 0
   C) The number itself
9. 3 x (5 + 2) is the same as (3 x ___) + (3 x 2).
10. 9 x 11 = ___
11. The expression (4 x 10) + (4 x 3) is a way to solve which problem?
    A) 4 x 10
    B) 4 x 3
    C) 4 x 13
12. 25 x 0 = ___
13. 1 x 32 = ___
14. Changing the order of numbers you multiply does not change the answer. For example, 8 x 2 = 2 x 8. This is the ___________ property.
    A) Distributive
    B) Commutative
    C) Zero
15. 7 x (10 + 5) = (7 x 10) + (7 x ___)
16. 5 x 12 = ___
17. Which of these shows the distributive property for 6 x 14?
    A) (6 x 7) + (6 x 7)
    B) 14 x 6
    C) 6 + 14
18. 8 x 8 = ___
19. 7 x 4 = ___
20. 5 x (8 + 1) is the same as (5 x ___) + (5 x 1).

Part 2: Show What You Know!

1. Solve 7 x 13 by breaking the 13 into (10 + 3). Show your steps below.

   Step 1: (7 x ___) + (7 x ___)

   Step 2: ___ + ___

   Answer: ___

   
   

2. Use the distributive property to solve 5 x 16. Break 16 into two smaller numbers of your choice.

   Work Space:

   
   

   Answer: ___

   
   

3. Look at the problem: 8 x 15. Rewrite this problem using the distributive property. Then, solve it.

   Work Space:

   
   

   Answer: ___

   
   

4. Leo has 4 shelves. He puts 18 books on each shelf. How many books does he have in total? Use the distributive property to find the answer. (Hint: break 18 into 10 + 8).

   Work Space:

   
   

   Answer: ___

   
   

5. In your own words, why is it sometimes easier to solve 6 x 18 by breaking it into (6 x 10) + (6 x 8)?

   ____________________________________________________________________

   
   

6. Rewrite 9 x (20 + 4) as a problem with one multiplication sign, and then find the answer.

   Problem: ___ x ___

   Answer: ___

   
   

7. Solve 3 x 24 using the distributive property. Show your work.

   Work Space:

   
   

   Answer: ___

   
   

8. A farmer plants 6 rows of corn. Each row has 22 corn plants. Write a problem using the distributive property to find out how many corn plants there are in all.

   Problem: _____________________________________

   
   

9. Solve the problem from question #8.

   Answer: ___

   
   

10. Sam says that 4 x (5 + 3) is the same as (4 x 5) + 3. Is he correct? Explain why or why not.

    ____________________________________________________________________

    ____________________________________________________________________

Answer Key

Part 1: Quick Questions

1. 4
2. 15
3. 0
4. 45
5. B) 0
6. 36
7. 56
8. C) The number itself
9. 5
10. 99
11. C) 4 x 13
12. 0
13. 32
14. B) Commutative
15. 5
16. 60
17. A) (6 x 7) + (6 x 7) (or other valid combinations like (6x10) + (6x4))
18. 64
19. 28
20. 8

Part 2: Show What You Know!

1. Step 1: (7 x 10) + (7 x 3)
   Step 2: 70 + 21
   Answer: 91
2. Example Answer: (5 x 10) + (5 x 6) = 50 + 30 = 80. Answer: 80
3. Example Answer: (8 x 10) + (8 x 5) = 80 + 40 = 120. Answer: 120
4. (4 x 10) + (4 x 8) = 40 + 32 = 72. Answer: 72 books
5. Example Answer: It's easier because multiplying by 10 is simple, and multiplying smaller numbers like 6 x 8 is easier than 6 x 18.
6. Problem: 9 x 24
   Answer: 216
7. (3 x 20) + (3 x 4) = 60 + 12 = 72. Answer: 72
8. Problem: (6 x 20) + (6 x 2)
9. 120 + 12 = 132. Answer: 132 corn plants
10. He is not correct. He needs to multiply the 4 by both numbers inside the parentheses: (4 x 5) + (4 x 3). He forgot to multiply 4 by 3.