๐ŸŽ“ Curriculum by Grade
K1st2nd3rd4th5th6th7th8th9th
โœจ
Smart Worksheet Generator
Math Worksheets, Made Effortless
โ†’
Core Learning Pillars๐Ÿ“„Worksheetsโ—๐ŸงฎCalculators๐ŸŽฏPracticeโœจGenerators๐Ÿ“–Learn๐ŸŽฎGames๐Ÿ“Formulas
Curriculum Topicsโ…“FractionsxยฒAlgebra๐Ÿ“Geometryโž•Arithmetic%Percentages๐Ÿ“ŠStatisticsโˆฟTrigonometry๐Ÿ’ฐFinancial Math
๐ŸŽ“ Grade 3๐Ÿ“„ Free PDFโœ… Answer Keys๐ŸŽฏ 4 Classroom Sets

Commutative Property of Multiplication ยท Free Worksheets (Grade 3)

Practice commutative property of multiplication (Grade 3) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

๐Ÿ“Aligned to Common Core (CCSS.MATH.CONTENT.3.OA.B.5)ยท5-10 min per sheet
Format:
Count:
PanMaths.comCommutative Property of Multiplication Worksheets โ€ข Set A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
3ร—7=___ร—3
Workspace:
2.
6ร—4=4ร—___
Workspace:
3.
8ร—5=___ร—8
Workspace:
4.
2ร—9=9ร—2=___
Workspace:
5.
7ร—6=6ร—___
Workspace:
6.
4ร—8=___ร—4
Workspace:
7.
9ร—3=3ร—9=___
Workspace:
8.
5ร—6=6ร—___
Workspace:
9.
8ร—7=___ร—8
Workspace:
10.
9ร—6=6ร—9=___
Workspace:
PanMaths.com โ€ข Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Standard)
Answer Key
Total Problems: 10
1.
3ร—7=___ร—3Ans: 7
1. Commutative Equation: 3 ร— 7 = ___ ร— 3
2. Match Factors: Left side has factors 3 and 7. Right side already has 3.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 7.
4. Verification: 3 ร— 7 = 7 ร— 3 = 21 โœ…
2.
6ร—4=4ร—___Ans: 6
1. Commutative Equation: 6 ร— 4 = 4 ร— ___
2. Match Factors: Left side has factors 6 and 4. Right side already has 4.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 6.
4. Verification: 6 ร— 4 = 4 ร— 6 = 24 โœ…
3.
8ร—5=___ร—8Ans: 5
1. Commutative Equation: 8 ร— 5 = ___ ร— 8
2. Match Factors: Left side has factors 8 and 5. Right side already has 8.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 5.
4. Verification: 8 ร— 5 = 5 ร— 8 = 40 โœ…
4.
2ร—9=9ร—2=___Ans: 18
1. Commutative Identity: 2 ร— 9 = 9 ร— 2 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 2 ร— 9 and 9 ร— 2 equal 18 โœ…
5.
7ร—6=6ร—___Ans: 7
1. Commutative Equation: 7 ร— 6 = 6 ร— ___
2. Match Factors: Left side has factors 7 and 6. Right side already has 6.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 7.
4. Verification: 7 ร— 6 = 6 ร— 7 = 42 โœ…
6.
4ร—8=___ร—4Ans: 8
1. Commutative Equation: 4 ร— 8 = ___ ร— 4
2. Match Factors: Left side has factors 4 and 8. Right side already has 4.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 8.
4. Verification: 4 ร— 8 = 8 ร— 4 = 32 โœ…
7.
9ร—3=3ร—9=___Ans: 27
1. Commutative Identity: 9 ร— 3 = 3 ร— 9 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 9 ร— 3 and 3 ร— 9 equal 27 โœ…
8.
5ร—6=6ร—___Ans: 5
1. Commutative Equation: 5 ร— 6 = 6 ร— ___
2. Match Factors: Left side has factors 5 and 6. Right side already has 6.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 5.
4. Verification: 5 ร— 6 = 6 ร— 5 = 30 โœ…
9.
8ร—7=___ร—8Ans: 7
1. Commutative Equation: 8 ร— 7 = ___ ร— 8
2. Match Factors: Left side has factors 8 and 7. Right side already has 8.
3. Balance Equation: By Commutative Law (a ร— b = b ร— a), the missing factor is 7.
4. Verification: 8 ร— 7 = 7 ร— 8 = 56 โœ…
10.
9ร—6=6ร—9=___Ans: 54
1. Commutative Identity: 9 ร— 6 = 6 ร— 9 = ?
2. Commutative Law: The order of factors does not change the product.
3. Calculation: Both 9 ร— 6 and 6 ร— 9 equal 54 โœ…
PanMaths.com โ€ข Answer Key & SolutionsPage 2 of 2
โœจ
Need a Multi-Topic Review Test or Custom Problem Mix?Combine Commutative Property of Multiplication Worksheets with other math skills into a custom 15-to-25 question test with 1-click dual-set anti-cheat PDFs & answer keys.
Build Custom Worksheet โž”

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.
๐ŸŽฎ Interactive Warm-Up

Times Tables Mastery

Warm up with 60 seconds of rapid mental math practice before printing!

Play Speed Game Free โ†’

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.

๐ŸŽฏ 4 Differentiated Classroom Sets Included

Standard 10Version A

Set A: Core Turn-Around Facts (10 Problems)

Balanced equations demonstrating the commutative property across facts 2 to 9.

Anti-CheatVersion B

Set B: Alternate Numbers (10 Problems)

Identical curriculum structure with alternate factor pairs to prevent copying.

ChallengingVersion C

Set C: Missing Factor Equations (8 Problems)

Solve for missing factors in equivalent equations and verify both products.

Speed SprintVersion D

Set D: 3-Minute Fluency Sprint (15 Problems)

Rapid turn-around fact drill to build lightning-fast recall and algebraic intuition.

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.

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (Balanced equations demonstrating the commutative property across facts 2 to 9.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

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.