MathematicsFreePrintable

Associative Property Practice

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Associative Property Practice

The associative property lets you change how factors are grouped without changing the product. Solve each problem and show how you grouped the factors.

Understand the property

1.Find both products: (2 × 6) × 3 and 2 × (6 × 3). Are the products equal or different?

Equal
Different

2.Complete the calculation: (4 × 2) × 5 = × 5 = .

3.Complete the calculation: 4 × (2 × 5) = 4 × = .

4.Which grouping makes a factor of 10 first? Choose the expression and find its product: (3 × 5) × 2 or 3 × (5 × 2).

5.If (7 × 2) × 3 = 42, what is 7 × (2 × 3)?

Multiplication in groups

6.At a supermarket, 3 cartons each hold 2 packs of juice, and each pack has 4 juice boxes. How many juice boxes are there altogether? Show two ways to group the factors.

7.Complete Way 1: (4 × 3) × 5 = × 5 = .

8.Complete Way 2: 4 × (3 × 5) = 4 × = .

9.Ethan sees 2 crates of juice. Each crate has 5 boxes, and each box holds 3 bottles. Write two equations with different groupings and find the total number of bottles.

Explain and apply

10.Isabella says (2 × 7) × 3 has a different product from 2 × (7 × 3) because the parentheses move. Is she right? Explain and calculate the product.

11.Hiroshi sorts 3 bags of oranges. Each bag has 4 smaller bags, and each smaller bag holds 2 oranges. Write the multiplication in two different groupings and find how many oranges there are.