Multiplication Array Worksheets
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Math Worksheets
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Free Printable Worksheets
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Represent Multiplication using Arrays
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Commutative Property using Array Model
Multiplication & Associative Property
Multiplication Array Worksheets
Free math worksheets to help students relate multiplication to the array model.
Learn how to write a multiplication fact or multiplication statement to describe a given array.
What is a multiplication array?
An array is a group of objects arranged in rows and columns. We can use a multiplication fact or multiplication statement to describe the array. We can also represent the multiplication fact using a multiplication array.
Relating multiplication to the array model is a powerful visual representation that helps students understand the concept of multiplication as repeated addition and as the combination of equal groups.
- An array is an arrangement of objects or numbers in rows and columns.
- Rows go horizontally, and columns go vertically.
- An array can represent equal groups. For example, if you have 4 rows of 3 apples each, that forms an array representing 4 groups of 3.
- There is a corresponding multiplication expression for the array. In the example above, the multiplication expression is 4 × 3.
- The multiplication expression can be read as “4 rows of 3” or “4 times 3.”
- The array model is also related to the concept of repeated addition. In the example, 4 × 3 is equivalent to 3 + 3 + 3 + 3.
By consistently using the array model, students develop a visual and conceptual understanding of multiplication, making it easier for them to transition to more abstract representations. The array model provides a tangible and intuitive way to grasp the concept of equal groups and multiplication.
Have a look at this video if you need to learn how to represent multiplication using arrays.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Multiplication Array Worksheets.
More Multiplication Array Worksheets
Printable
(Answers on the second page)
Multiplication Array Worksheet #1
Multiplication Array Worksheet #2
Word Problems
- Emma collects rocks. She arranges them in 4 rows of 3. Draw Emma’s array to show how many rocks she has altogether. Then write a multiplication sentence to describe the array.
- Joshua helps his father organize cans of food in the cupboard. He makes an array with the cans and thinks, “My cans show 5 × 3!” Make a drawing that shows how many cans are in Joshua’s array.
- Judy collects seashells. She arranges them in 3 rows of 6. Draw Judy’s array to show how many seashells she has all together. Then write a multiplication sentence to describe the array.
- Roger has a collection of stamps. He arranges the stamps into 5 rows of 4. Draw an array to represent Roger’s stamps. Then write a multiplication sentence to describe the array.
- Kimberly arranges her 18 markers in an array. Draw an array that Kimberly might make. Then write a multiplication sentence to match your array.
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