Associative Property of Multiplication Worksheet
Explore and practice the associative property of multiplication with this Grade 5 worksheet, featuring real-world problems and algebraic expressions.
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Associative Property of Multiplication
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Read each question carefully and answer to the best of your ability. Show your work for short answer questions.
The Associative Property of Multiplication states that when you multiply three or more numbers, the way you group the numbers (using parentheses) does not change the product. For example: (a × b) × c = a × (b × c).
1. The Associative Property of Multiplication means that changing the of factors does not change the product.
2. In the equation (2 × 3) × 4 = 2 × (3 × 4), the parentheses show different .
3. Which equation demonstrates the Associative Property of Multiplication?
5 × 6 = 6 × 5
(7 × 2) × 3 = 7 × (2 × 3)
4 × (1 + 2) = 4 × 1 + 4 × 2
9 × 1 = 9
4. If (8 × 5) × 2 = 80, what is 8 × (5 × 2)?
40
80
160
100
5. The equation (10 × 2) × 5 = 10 × (2 × 5) is an example of the Associative Property.
True
False
6. The Associative Property only applies to addition, not multiplication.
True
False
7. Use the Associative Property to solve the following problem in two different ways: 3 × 4 × 5. Show your work.
8. A baker is making cupcakes. He has 6 trays, with each tray holding 3 rows of 4 cupcakes. Write an equation using the Associative Property to find the total number of cupcakes. Solve it.
Consider an array of items. The way you group them for multiplication can be shown visually.
9. Imagine you have 2 such arrays. How would you group them to show (2 × 3) × 4? Draw it or explain in words.