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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.

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5 Tests
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5. 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 property is shown by 4 × 7 = 7 × 4?

Please select an answer first.

Correct answer: A

The correct answer is Commutative property.

  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 switch order, which shows the commutative property.
  3. Check the choice: The correct choice is Commutative property.

The factors switch order, which shows the commutative property.

2. QuestionMultiple choice

Which property is shown by 8 × 1 = 8?

Please select an answer first.

Correct answer: B

The correct answer is Identity property.

  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: Multiplying by one leaves a number unchanged, which is the identity property.
  3. Check the choice: The correct choice is Identity property.

Multiplying by one leaves a number unchanged, which is the identity property.

3. QuestionMultiple choice

Which property is shown by 9 × 0 = 0?

Please select an answer first.

Correct answer: C

The correct answer is Zero property.

  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: Multiplying any number by zero gives zero, which is the zero property.
  3. Check the choice: The correct choice is Zero property.

Multiplying any number by zero gives zero, which is the zero property.

4. QuestionMultiple choice

Which property is shown by (3 × 2) × 5 = 3 × (2 × 5)?

Please select an answer first.

Correct answer: D

The correct answer is Associative property.

  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 grouping changes while the factors stay in the same order, showing the associative property.
  3. Check the choice: The correct choice is Associative property.

The grouping changes while the factors stay in the same order, showing the associative property.

5. QuestionMultiple choice

Which equation shows the distributive property?

Please select an answer first.

Correct answer: A

The correct answer is 5 × 6 = 5 × (4 + 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 factor 6 is broken into 4 + 2, showing the distributive property.
  3. Check the choice: The correct choice is 5 × 6 = 5 × (4 + 2).

The factor 6 is broken into 4 + 2, showing the distributive property.

6. QuestionMultiple choice

Which strategy can help solve 7 × 8?

Please select an answer first.

Correct answer: B

The correct answer is Use 7 × (5 + 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: Breaking 8 into 5 + 3 lets you use easier facts: 7 × 5 + 7 × 3.
  3. Check the choice: The correct choice is Use 7 × (5 + 3).

Breaking 8 into 5 + 3 lets you use easier facts: 7 × 5 + 7 × 3.

7. QuestionMultiple choice

Which equation shows the associative property?

Please select an answer first.

Correct answer: C

The correct answer is (2 × 3) × 4 = 2 × (3 × 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: The parentheses move to change grouping, while the factor order stays the same.
  3. Check the choice: The correct choice is (2 × 3) × 4 = 2 × (3 × 4).

The parentheses move to change grouping, while the factor order stays the same.

8. QuestionMultiple choice

What stays the same when the factors in a multiplication equation switch places?

Please select an answer first.

Correct answer: D

The correct answer is The product.

  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 changes factor order but keeps the product the same.
  3. Check the choice: The correct choice is The product.

The commutative property changes factor order but keeps the product the same.

9. QuestionMultiple choice

Which property helps explain 6 × 1 = 6?

Please select an answer first.

Correct answer: A

The correct answer is Identity property.

  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: Multiplying by one keeps the original number, so this is the identity property.
  3. Check the choice: The correct choice is Identity property.

Multiplying by one keeps the original number, so this is the identity property.

10. QuestionMultiple choice

What is the main idea of multiplication properties?

Please select an answer first.

Correct answer: B

The correct answer is Properties help rewrite and solve multiplication equations in useful ways.

  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: Multiplication properties explain patterns and provide strategies for solving products.
  3. Check the choice: The correct choice is Properties help rewrite and solve multiplication equations in useful ways.

Multiplication properties explain patterns and provide strategies for solving products.

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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.