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.

2. 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

What is 7 × 1?

Please select an answer first.

Correct answer: A

The correct answer is 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: The identity property says any number multiplied by 1 stays the same.
  3. Check the choice: The correct choice is 7.

The identity property says any number multiplied by 1 stays the same.

2. QuestionMultiple choice

What is 1 × 9?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  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: One group of nine is nine, so 1 × 9 = 9.
  3. Check the choice: The correct choice is 9.

One group of nine is nine, so 1 × 9 = 9.

3. QuestionMultiple choice

What is 6 × 0?

Please select an answer first.

Correct answer: C

The correct answer is 0.

  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 zero property says any number multiplied by zero has a product of zero.
  3. Check the choice: The correct choice is 0.

The zero property says any number multiplied by zero has a product of zero.

4. QuestionMultiple choice

What is 0 × 8?

Please select an answer first.

Correct answer: D

The correct answer is 0.

  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: Zero groups of eight make zero, so 0 × 8 = 0.
  3. Check the choice: The correct choice is 0.

Zero groups of eight make zero, so 0 × 8 = 0.

5. QuestionMultiple choice

Which equation shows the identity property?

Please select an answer first.

Correct answer: A

The correct answer is 12 × 1 = 12.

  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 the number unchanged.
  3. Check the choice: The correct choice is 12 × 1 = 12.

Multiplying by one leaves the number unchanged.

6. QuestionMultiple choice

What is 0 × 15?

Please select an answer first.

Correct answer: B

The correct answer is 0.

  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: Any number multiplied by zero equals zero.
  3. Check the choice: The correct choice is 0.

Any number multiplied by zero equals zero.

7. QuestionMultiple choice

What is 1 × 4?

Please select an answer first.

Correct answer: C

The correct answer is 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 identity property gives 1 × 4 = 4.
  3. Check the choice: The correct choice is 4.

The identity property gives 1 × 4 = 4.

8. QuestionMultiple choice

Which equation shows the zero property?

Please select an answer first.

Correct answer: D

The correct answer is 9 × 0 = 0.

  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 zero property says a product is zero when either factor is zero.
  3. Check the choice: The correct choice is 9 × 0 = 0.

The zero property says a product is zero when either factor is zero.

9. QuestionMultiple choice

What is 5 × 1?

Please select an answer first.

Correct answer: A

The correct answer is 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: One group of five is five, so 5 × 1 = 5.
  3. Check the choice: The correct choice is 5.

One group of five is five, so 5 × 1 = 5.

10. QuestionMultiple choice

What is 0 × 3?

Please select an answer first.

Correct answer: B

The correct answer is 0.

  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: Zero groups of three make zero.
  3. Check the choice: The correct choice is 0.

Zero groups of three make zero.

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.