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Printable Multiplication Worksheets for 3rd Grade:
Multiplication Strategies
Represent Equal Groups as Multiplication
Represent Multiplication using Arrays
Meaning of Factors
Commutative Property using Array Model
Multiplication & Associative Property
Free printable math worksheets to help students learn the commutative property of multiplication using the array model.
The array model is a great way to understand and visually confirm the commutative property of multiplication, which states that the order in which you multiply two numbers doesn’t affect the product.
Example: 2 x 3 = 3 x 2
Create the arrays:
For 2 x 3, draw 2 rows with 3 dots each. This represents 2 groups of 3.
For 3 x 2, draw 3 rows with 2 dots each. This represents 3 groups of 2.
Compare the arrays:
Rotate or flip one of the arrays if needed. You’ll notice that both arrays have the same total number of dots, regardless of the order in which you arrange them. In this example, both arrays have a total of 6 dots.
Conclusion:
Since both arrays represent the same product (6), regardless of the order of the factors (2 and 3), we can confirm that multiplication is commutative. 2 x 3 = 3 x 2.
Arrays provide a physical representation of multiplication, making it easier to understand the concept.
The most important thing is to grasp the underlying concept that the order of factors doesn’t affect the product.
Have a look at this video if you need help learning the commutative property of multiplication using the array model.
Then, practice the following worksheets.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Multiplication & Commutative Property Worksheets.
Printable
(Answers on the second page)
Multiplication & Commutative Property Worksheet #1
Multiplication & Commutative Property Worksheet #2
Multiplication & Commutativity
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