Multiplication Properties and Strategies

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that changing the order of the numbers in a multiplication problem does not change the product. For example, 25 x 5 = 5 x 25.

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that you can multiply a number by a group of numbers added together by multiplying each addend separately and then adding the products. For example, 6 x 25 = (6 x 20) + (6 x 5).

Front

What is an example of the Distributive Property?

Back

7 x 65 can be expressed as (7 x 60) + (7 x 5).

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

Front

What is the Doubling & Halving strategy in multiplication?

Back

The Doubling & Halving strategy involves doubling one number and halving the other to make multiplication easier. For example, 18 x 21 can be transformed into 36 x 10.5.

Front

What does it mean to use the Over Strategy in multiplication?

Back

The Over Strategy involves using a number that is easier to multiply with and then adjusting the result accordingly. For example, using 42 x 9 instead of 18 x 21.

Front

What is the result of 7 x 8?

Back

7 x 8 = 56.

Front

What is the result of 8 x 7?

Back

8 x 7 = 56, demonstrating the Commutative Property.

Front

What is the result of 6 x 25 using the Distributive Property?

Back

6 x 25 = (6 x 20) + (6 x 5) = 120 + 30 = 150.