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12Beat the Calculator! Unit
CMath Vo abulary Commutative Property of Multiplication: the order in which the factors are multiplied does not
change the product
array: objects displayed in rows and columns
Discuss what you found from the previous problem. 2. For students who are having difficulty in
solving the problems, use arrays to explain as
2 rows of 4 are equal to 8, and 4 rows of 2 are equal to 8 as well. The order of multiplying the shown below.
factors does not change the product. Example: 2a.
4 rows of 3 4 3 12
2 . Learn about the Commutative Property of Multiplication.
Commutative Property of Multiplication
The order in which the factors are multiplied does not
change the product.
3 7 = 21 7 3 = 21
a. 12 cans of juice are arranged in 4 rows.
How many cans are in each row? 3 cans
b. 24 students are standing in 6 lines. 4 students
How many students are in each line?
12. Beat the Calculator! 111
Arrays and Commutative Property of Multiplication
It is better to use arrays for explaining about the concept of
Commutative Property of Multiplication. Tell students that two
rows of five and five rows of two have the same products, as
shown on the right. Have students count the number of dots in the
arrays to learn the principal of Commutative Property of
Multiplication.
2 rows of 5 5 rows of 2
3A Unit 12 179
CMath Vo abulary Commutative Property of Multiplication: the order in which the factors are multiplied does not
change the product
array: objects displayed in rows and columns
Discuss what you found from the previous problem. 2. For students who are having difficulty in
solving the problems, use arrays to explain as
2 rows of 4 are equal to 8, and 4 rows of 2 are equal to 8 as well. The order of multiplying the shown below.
factors does not change the product. Example: 2a.
4 rows of 3 4 3 12
2 . Learn about the Commutative Property of Multiplication.
Commutative Property of Multiplication
The order in which the factors are multiplied does not
change the product.
3 7 = 21 7 3 = 21
a. 12 cans of juice are arranged in 4 rows.
How many cans are in each row? 3 cans
b. 24 students are standing in 6 lines. 4 students
How many students are in each line?
12. Beat the Calculator! 111
Arrays and Commutative Property of Multiplication
It is better to use arrays for explaining about the concept of
Commutative Property of Multiplication. Tell students that two
rows of five and five rows of two have the same products, as
shown on the right. Have students count the number of dots in the
arrays to learn the principal of Commutative Property of
Multiplication.
2 rows of 5 5 rows of 2
3A Unit 12 179
