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Associative Property of MultiplicationFREEWorksheet Generator(Grade 3)

Associative 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.comAssociative Property of Multiplication Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.(2ร—5)ร—8=2ร—(___ร—8)
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2.(3ร—3)ร—2=3ร—(3ร—___)
Workspace:
3.3ร—(2ร—9)=(___ร—2)ร—9
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4.(5ร—2)ร—9=5ร—(2ร—9)=___
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5.(4ร—2)ร—5=4ร—(___ร—5)
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6.(2ร—4)ร—5=2ร—(4ร—___)
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7.2ร—(4ร—3)=(___ร—4)ร—3
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8.(3ร—3)ร—3=3ร—(3ร—3)=___
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9.(2ร—2)ร—8=2ร—(___ร—8)
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10.(2ร—3)ร—4=2ร—(3ร—___)
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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.(2ร—5)ร—8=2ร—(___ร—8)
Ans: 5
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (2 ร— 5) ร— 8 = 10 ร— 8 = 80.
3. Grouping 2 (Right First): 2 ร— (5 ร— 8) = 2 ร— 40 = 80.
4. Factor Matching: The missing factor is 5 โœ…
2.(3ร—3)ร—2=3ร—(3ร—___)
Ans: 2
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (3 ร— 3) ร— 2 = 9 ร— 2 = 18.
3. Grouping 2 (Right First): 3 ร— (3 ร— 2) = 3 ร— 6 = 18.
4. Factor Matching: The missing factor is 2 โœ…
3.3ร—(2ร—9)=(___ร—2)ร—9
Ans: 3
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (3 ร— 2) ร— 9 = 6 ร— 9 = 54.
3. Grouping 2 (Right First): 3 ร— (2 ร— 9) = 3 ร— 18 = 54.
4. Factor Matching: The missing factor is 3 โœ…
4.(5ร—2)ร—9=5ร—(2ร—9)=___
Ans: 90
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (5 ร— 2) ร— 9 = 10 ร— 9 = 90.
3. Grouping 2 (Right First): 5 ร— (2 ร— 9) = 5 ร— 18 = 90.
4. Final Calculation: Both groupings yield the identical product of 90 โœ…
5.(4ร—2)ร—5=4ร—(___ร—5)
Ans: 2
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (4 ร— 2) ร— 5 = 8 ร— 5 = 40.
3. Grouping 2 (Right First): 4 ร— (2 ร— 5) = 4 ร— 10 = 40.
4. Factor Matching: The missing factor is 2 โœ…
6.(2ร—4)ร—5=2ร—(4ร—___)
Ans: 5
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (2 ร— 4) ร— 5 = 8 ร— 5 = 40.
3. Grouping 2 (Right First): 2 ร— (4 ร— 5) = 2 ร— 20 = 40.
4. Factor Matching: The missing factor is 5 โœ…
7.2ร—(4ร—3)=(___ร—4)ร—3
Ans: 2
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (2 ร— 4) ร— 3 = 8 ร— 3 = 24.
3. Grouping 2 (Right First): 2 ร— (4 ร— 3) = 2 ร— 12 = 24.
4. Factor Matching: The missing factor is 2 โœ…
8.(3ร—3)ร—3=3ร—(3ร—3)=___
Ans: 27
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (3 ร— 3) ร— 3 = 9 ร— 3 = 27.
3. Grouping 2 (Right First): 3 ร— (3 ร— 3) = 3 ร— 9 = 27.
4. Final Calculation: Both groupings yield the identical product of 27 โœ…
9.(2ร—2)ร—8=2ร—(___ร—8)
Ans: 2
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (2 ร— 2) ร— 8 = 4 ร— 8 = 32.
3. Grouping 2 (Right First): 2 ร— (2 ร— 8) = 2 ร— 16 = 32.
4. Factor Matching: The missing factor is 2 โœ…
10.(2ร—3)ร—4=2ร—(3ร—___)
Ans: 4
1. Associative Property Law: (a ร— b) ร— c = a ร— (b ร— c). Changing grouping does not change the product.
2. Grouping 1 (Left First): (2 ร— 3) ร— 4 = 6 ร— 4 = 24.
3. Grouping 2 (Right First): 2 ร— (3 ร— 4) = 2 ร— 12 = 24.
4. Factor Matching: The missing factor is 4 โœ…
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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“ Associative Property of Multiplication

Key Strategies

  • ๐Ÿ“ฆ Grouping with Parentheses: Always calculate the numbers inside parentheses first: (2 ร— 3) ร— 4 = 6 ร— 4 = 24.
  • ๐ŸŽฏ Make-a-Ten Shortcut: Look for factors that multiply to 10 (e.g. 5 ร— 2). In 4 ร— (5 ร— 2), multiply 5 ร— 2 = 10 first, then 4 ร— 10 = 40.
  • โš–๏ธ Balancing Grouped Equations: Match the three factors on both sides of the equal sign: (3 ร— 4) ร— 2 = 3 ร— (___ ร— 2). The missing factor must be 4.
  • ๐Ÿงฑ 3D Unit Cube Layer Model: A block of 2 ร— 3 ร— 4 cubes has 2 layers of (3 ร— 4) or 4 layers of (2 ร— 3); both arrangements contain 24 total cubes.
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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 Associative Property of Multiplication: Core Concepts & Mental Models

The Associative Property of Multiplication states that when multiplying three or more numbers, the grouping of factors (indicated by parentheses) does not change the product: (a ร— b) ร— c = a ร— (b ร— c). This empowers students to strategically pair friendly numbers firstโ€”such as multiplying 2 and 5 to create an easy 10.

Worked Example & SolutionTeacher Step-by-Step Method
๐Ÿ“ Problem: Find the product of (4 ร— 2) ร— 5 using two different groupings.
Worked Solution: Grouping 1: (4 ร— 2) ร— 5 = 8 ร— 5 = 40. Grouping 2: 4 ร— (2 ร— 5) = 4 ร— 10 = 40. Both groupings produce the identical product of 40.

๐Ÿ’ก Essential Strategies for Associative Property of Multiplication

๐Ÿ“ฆ Grouping with Parentheses

Always calculate the numbers inside parentheses first: (2 ร— 3) ร— 4 = 6 ร— 4 = 24.

๐ŸŽฏ Make-a-Ten Shortcut

Look for factors that multiply to 10 (e.g. 5 ร— 2). In 4 ร— (5 ร— 2), multiply 5 ร— 2 = 10 first, then 4 ร— 10 = 40.

โš–๏ธ Balancing Grouped Equations

Match the three factors on both sides of the equal sign: (3 ร— 4) ร— 2 = 3 ร— (___ ร— 2). The missing factor must be 4.

๐Ÿงฑ 3D Unit Cube Layer Model

A block of 2 ร— 3 ร— 4 cubes has 2 layers of (3 ร— 4) or 4 layers of (2 ร— 3); both arrangements contain 24 total cubes.

๐Ÿ“– Key Mathematical Vocabulary

Associative Property

The mathematical rule stating that changing how factors are grouped does not change their product: (a ร— b) ร— c = a ร— (b ร— c).

Grouping

Using parentheses ( ) to show which two numbers should be multiplied together first.

Factor

Any of the numbers being multiplied together.

Product

The final result or answer of multiplication.

Intermediate Product

The product of the two numbers inside parentheses before multiplying by the third factor.

Friendly Numbers

Numbers like 10 or 20 that are easy to multiply mentally.

โ“ Frequently Asked Questions

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

Here is a worked example: "Find the product of (4 ร— 2) ร— 5 using two different groupings.". Solution: Grouping 1: (4 ร— 2) ร— 5 = 8 ร— 5 = 40. Grouping 2: 4 ร— (2 ร— 5) = 4 ร— 10 = 40. Both groupings produce the identical product of 40.

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

Apply the associative property of multiplication to group three factors in different ways: (a ร— b) ร— c = a ร— (b ร— c), creating friendly intermediate products to simplify mental computation within 100. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.3.OA.B.5.

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

Every click of 'Generate New Worksheet' creates a completely fresh set of associative 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 associative 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.