Properties of Multiplication

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (2×3)×4 = 2×(3×4).

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 4×5 = 5×4.

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property of Multiplication states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. For example, a(b + c) = ab + ac.

Front

Give an example of the Associative Property of Multiplication.

Back

An example is: 3×(2×4) = (3×2)×4, both equal 24.

Front

Give an example of the Commutative Property of Multiplication.

Back

An example is: 6×7 = 7×6, both equal 42.

Front

Give an example of the Distributive Property of Multiplication.

Back

An example is: 5×(2 + 3) = (5×2) + (5×3), which equals 25.

Front

What does it mean to group numbers in multiplication?

Back

Grouping numbers in multiplication refers to how you arrange the numbers in parentheses. It affects the order of operations but not the final product.

Front

How can you use the Distributive Property to simplify 12×5?

Back

You can break it down as: 12×5 = (10×5) + (2×5) = 50 + 10 = 60.

Front

What is the result of 3×(4×2)?

Back

The result is 24, using the Associative Property: (3×4)×2 = 12×2 = 24.

Front

What is the result of 8×9?

Back

The result is 72, and you can also express it as 9×8 using the Commutative Property.