Grade 3 Math · Properties of Multiplication

Grade 3 Properties of Multiplication Practice Test

Build Grade 3 math skills with five 10-question practice tests on the commutative, associative, distributive, identity, and zero properties of multiplication.

Properties of Multiplication Practice Tests

These Grade 3 Math practice tests help students use multiplication properties to rewrite equations and solve products efficiently. Students explore the commutative, associative, distributive, identity, and zero properties.

Skills covered

  • Switching factors with the commutative property
  • Regrouping factors with the associative property
  • Breaking apart factors with the distributive property
  • Using the identity property when multiplying by one
  • Using the zero property when multiplying by zero
  • Choosing a useful property or strategy for a product

How to use these practice tests

Complete one 10-question test at a time. Look at the structure of each equation before calculating. If a product is difficult, switch, regroup, or break apart factors to use facts you know.

For more Grade 3 Math practice, return to the Grade 3 Math category.

1. Test

Grade 3 Properties of Multiplication Practice Tests

A 10-question Grade 3 Math practice test on the commutative, associative, distributive, identity, and zero properties of multiplication.

Read each multiplication properties question carefully. Look for switched factors, regrouped factors, broken-apart factors, multiplying by one, or multiplying by zero.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which equation shows the commutative property?

Please select an answer first.

Correct answer: A

The correct answer is 3 × 4 = 4 × 3.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: The commutative property lets you switch the order of the factors without changing the product.
  3. Check the choice: The correct choice is 3 × 4 = 4 × 3.

The commutative property lets you switch the order of the factors without changing the product.

2. QuestionMultiple choice

Which equation is equal to 5 × 6 by switching the factors?

Please select an answer first.

Correct answer: B

The correct answer is 6 × 5.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: The commutative property says 5 × 6 and 6 × 5 have the same product.
  3. Check the choice: The correct choice is 6 × 5.

The commutative property says 5 × 6 and 6 × 5 have the same product.

3. QuestionMultiple choice

Which equation shows the same product as 7 × 2?

Please select an answer first.

Correct answer: C

The correct answer is 2 × 7.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Switching 7 and 2 gives 2 × 7, which has the same product.
  3. Check the choice: The correct choice is 2 × 7.

Switching 7 and 2 gives 2 × 7, which has the same product.

4. QuestionMultiple choice

Which equation is equal to 8 × 3?

Please select an answer first.

Correct answer: D

The correct answer is 3 × 8.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: The factors can switch places: 8 × 3 = 3 × 8.
  3. Check the choice: The correct choice is 3 × 8.

The factors can switch places: 8 × 3 = 3 × 8.

5. QuestionMultiple choice

Which equation shows the commutative property for 9 × 4?

Please select an answer first.

Correct answer: A

The correct answer is 4 × 9 = 9 × 4.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Both sides have the same two factors in a different order.
  3. Check the choice: The correct choice is 4 × 9 = 9 × 4.

Both sides have the same two factors in a different order.

6. QuestionMultiple choice

Which equation is equal to 10 × 7?

Please select an answer first.

Correct answer: B

The correct answer is 7 × 10.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Switching the factors keeps the product the same, so 10 × 7 = 7 × 10.
  3. Check the choice: The correct choice is 7 × 10.

Switching the factors keeps the product the same, so 10 × 7 = 7 × 10.

7. QuestionMultiple choice

Which statement about 6 × 6 is true?

Please select an answer first.

Correct answer: C

The correct answer is Switching the factors gives the same equation.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Because both factors are 6, switching them produces the same fact: 6 × 6 = 6 × 6.
  3. Check the choice: The correct choice is Switching the factors gives the same equation.

Because both factors are 6, switching them produces the same fact: 6 × 6 = 6 × 6.

8. QuestionMultiple choice

Which equation is equal to 2 × 9?

Please select an answer first.

Correct answer: D

The correct answer is 9 × 2.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: The commutative property allows 2 × 9 to be written as 9 × 2.
  3. Check the choice: The correct choice is 9 × 2.

The commutative property allows 2 × 9 to be written as 9 × 2.

9. QuestionMultiple choice

Which equation shows the factors in a new order for 4 × 5?

Please select an answer first.

Correct answer: A

The correct answer is 5 × 4.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Switching the factors gives 5 × 4 with the same product.
  3. Check the choice: The correct choice is 5 × 4.

Switching the factors gives 5 × 4 with the same product.

10. QuestionMultiple choice

Which equation is equal to 8 × 7?

Please select an answer first.

Correct answer: B

The correct answer is 7 × 8.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: The commutative property shows that 8 × 7 and 7 × 8 are equal.
  3. Check the choice: The correct choice is 7 × 8.

The commutative property shows that 8 × 7 and 7 × 8 are equal.

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Frequently asked questions about Grade 3 Properties of Multiplication

What is the commutative property?

The commutative property says that switching the order of the factors does not change the product, such as 3 × 4 = 4 × 3.

What is the distributive property?

The distributive property lets you break apart a factor, such as 6 × 7 = 6 × 5 + 6 × 2.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 3 Properties of Multiplication questions in total.