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Commutative Property of MultiplicationFREEWorksheet Generator(Grade 3)

Commutative Property of Multiplication worksheets (Grade 3) with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems.

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Set A โ€ข 10 Qs
PanMaths.comCommutative Property of Multiplication Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.7ร—9=___ร—7
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2.10ร—9=9ร—___
Workspace:
3.10ร—3=3ร—10=___
Workspace:
4.9ร—6=___ร—9
Workspace:
5.9ร—4=4ร—___
Workspace:
6.2ร—3=3ร—2=___
Workspace:
7.5ร—7=___ร—5
Workspace:
8.10ร—5=5ร—___
Workspace:
9.10ร—6=6ร—10=___
Workspace:
10.9ร—8=___ร—9
Workspace:
PanMaths.com โ€ข Free Math Worksheet Generator โ€ข Set A (Medium)Page 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Medium)
Answer Key
Total Problems: 10
1.7ร—9=___ร—7
Ans: 9
1. Commutative Equation: 7 ร— 9 = ___ ร— 7
2. Match Factors: Left side has factors 7 and 9. Right side already has 7.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 9.
4. Verification: 7 ร— 9 = 9 ร— 7 = 63 โœ…
2.10ร—9=9ร—___
Ans: 10
1. Commutative Equation: 10 ร— 9 = 9 ร— ___
2. Match Factors: Left side has factors 10 and 9. Right side already has 9.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 10.
4. Verification: 10 ร— 9 = 9 ร— 10 = 90 โœ…
3.10ร—3=3ร—10=___
Ans: 30
1. Commutative Identity: 10 ร— 3 = 3 ร— 10 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 10 ร— 3 and 3 ร— 10 equal 30 โœ…
4.9ร—6=___ร—9
Ans: 6
1. Commutative Equation: 9 ร— 6 = ___ ร— 9
2. Match Factors: Left side has factors 9 and 6. Right side already has 9.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 6.
4. Verification: 9 ร— 6 = 6 ร— 9 = 54 โœ…
5.9ร—4=4ร—___
Ans: 9
1. Commutative Equation: 9 ร— 4 = 4 ร— ___
2. Match Factors: Left side has factors 9 and 4. Right side already has 4.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 9.
4. Verification: 9 ร— 4 = 4 ร— 9 = 36 โœ…
6.2ร—3=3ร—2=___
Ans: 6
1. Commutative Identity: 2 ร— 3 = 3 ร— 2 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 2 ร— 3 and 3 ร— 2 equal 6 โœ…
7.5ร—7=___ร—5
Ans: 7
1. Commutative Equation: 5 ร— 7 = ___ ร— 5
2. Match Factors: Left side has factors 5 and 7. Right side already has 5.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 7.
4. Verification: 5 ร— 7 = 7 ร— 5 = 35 โœ…
8.10ร—5=5ร—___
Ans: 10
1. Commutative Equation: 10 ร— 5 = 5 ร— ___
2. Match Factors: Left side has factors 10 and 5. Right side already has 5.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 10.
4. Verification: 10 ร— 5 = 5 ร— 10 = 50 โœ…
9.10ร—6=6ร—10=___
Ans: 60
1. Commutative Identity: 10 ร— 6 = 6 ร— 10 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 10 ร— 6 and 6 ร— 10 equal 60 โœ…
10.9ร—8=___ร—9
Ans: 8
1. Commutative Equation: 9 ร— 8 = ___ ร— 9
2. Match Factors: Left side has factors 9 and 8. Right side already has 9.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 8.
4. Verification: 9 ร— 8 = 8 ร— 9 = 72 โœ…
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categorygrade-3
Grade LevelGrade 3
DifficultyEasy, Medium, Hard, Sprint
Time5-10 min
CCSS CodeCCSS.MATH.CONTENT.3.OA.B.5

Skills Practiced

  • โœ“ Commutative Property of Multiplication

Key Strategies

  • ๐Ÿ”„ Turn-Around Fact Pairs: If you know a ร— b, you immediately know b ร— a. For example, 4 ร— 7 = 28, so 7 ร— 4 = 28.
  • ๐Ÿงฑ Array Rotation Proof: A 3 ร— 5 array (3 rows of 5) rotated 90 degrees becomes a 5 ร— 3 array (5 rows of 3). The total count of 15 dots remains identical.
  • โš–๏ธ Balancing Equivalent Equations: Match the factors on both sides of the equal sign: 6 ร— 8 = ___ ร— 6. The missing factor must be 8.
  • ๐Ÿ’ก Halving the Times Tables: Because multiplication is commutative, students only need to memorize half of the multiplication table grid.
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Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.3.OA.B.5๐Ÿ”— CCSS.MATH.CONTENT.3.OA.A.1๐Ÿ”— CCSS.MATH.CONTENT.3.OA.C.7

Mastering Commutative Property of Multiplication: Core Concepts & Mental Models

The Commutative Property of Multiplication states that changing the order of factors does not change the product: a ร— b = b ร— a. Often called 'Turn-Around Facts', this foundational algebraic property cuts the number of multiplication facts a student must memorize in half.

Worked Example & SolutionTeacher Step-by-Step Method
๐Ÿ“ Problem: Complete the commutative property equation: 7 ร— 6 = ___ ร— 7, and find the product.
Worked Solution: Step 1: Identify the factors on the left side: 7 and 6. Step 2: Apply the commutative property (a ร— b = b ร— a). The right side must have the same factors reversed: 6 ร— 7. Step 3: The missing factor is 6. Step 4: Verify the product: 7 ร— 6 = 42 and 6 ร— 7 = 42. Both sides equal 42.

๐Ÿ’ก Essential Strategies for Commutative Property of Multiplication

๐Ÿ”„ Turn-Around Fact Pairs

If you know a ร— b, you immediately know b ร— a. For example, 4 ร— 7 = 28, so 7 ร— 4 = 28.

๐Ÿงฑ Array Rotation Proof

A 3 ร— 5 array (3 rows of 5) rotated 90 degrees becomes a 5 ร— 3 array (5 rows of 3). The total count of 15 dots remains identical.

โš–๏ธ Balancing Equivalent Equations

Match the factors on both sides of the equal sign: 6 ร— 8 = ___ ร— 6. The missing factor must be 8.

๐Ÿ’ก Halving the Times Tables

Because multiplication is commutative, students only need to memorize half of the multiplication table grid.

๐Ÿ“– Key Mathematical Vocabulary

Commutative Property

The mathematical law stating that the order in which two numbers are multiplied does not change the product (a ร— b = b ร— a).

Factor

A number that is multiplied by another number to find a product.

Product

The result of multiplying two or more factors.

Turn-Around Fact

A twin multiplication fact with the exact same factors in reversed order (e.g., 3 ร— 8 and 8 ร— 3).

Array

An orderly grid of objects in equal rows and columns that geometrically proves commutativity upon rotation.

Equivalent Expression

Two mathematical expressions that equal the exact same numerical quantity.

โ“ Frequently Asked Questions

How do you solve a commutative property of multiplication problem step by step?

Here is a worked example: "Complete the commutative property equation: 7 ร— 6 = ___ ร— 7, and find the product.". Solution: Step 1: Identify the factors on the left side: 7 and 6. Step 2: Apply the commutative property (a ร— b = b ร— a). The right side must have the same factors reversed: 6 ร— 7. Step 3: The missing factor is 6. Step 4: Verify the product: 7 ร— 6 = 42 and 6 ร— 7 = 42. Both sides equal 42.

What is the core learning objective for commutative property of multiplication?

Apply the commutative property of multiplication to write equivalent turn-around equations (a ร— b = b ร— a) and solve for missing factors within 100. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.3.OA.B.5.

How does the unlimited commutative property of multiplication worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of commutative property of multiplication problems with unique numbers. No two worksheets are ever the same โ€” perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Are these commutative property of multiplication worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.