Associative Property of Multiplication
Explore and apply the associative property of multiplication with this Grade 8 worksheet, featuring practice problems and real-world scenarios.
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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 where applicable. Remember the associative property of multiplication states that the way factors are grouped in a multiplication problem does not change the product: (a × b) × c = a × (b × c).
1. Which expression demonstrates the associative property of multiplication?
5 × (3 + 2) = (5 × 3) + (5 × 2)
8 × 4 = 4 × 8
(6 × 2) × 7 = 6 × (2 × 7)
10 × 1 = 10
2. If (2 × 5) × 9 = 90, what is 2 × (5 × 9)?
100
45
90
180
3. The associative property of multiplication states that changing the of the factors does not change the product.
4. Complete the equation using the associative property: (4 × 7) × 2 = 4 × ( ).
5. Explain in your own words why the associative property is useful when multiplying three or more numbers.
6. The commutative property of multiplication is the same as the associative property.
True
False
7. (10 × 2) × 3 = 10 × (2 × 3) is an example of the associative property.
True
False
8. Sarah is organizing her books. She has 3 shelves, and on each shelf, there are 4 stacks of books. Each stack has 5 books. How many books does Sarah have in total? Show how you can use the associative property to solve this problem in two different ways.