Properties of Operations Flashcard

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, (a x b) x c = a x (b x c).

Front

Rewrite (9 x 6) x 5 using the associative property.

Back

9 x (6 x 5)

Front

What does the commutative property of multiplication state?

Back

The commutative property states that changing the order of the factors does not change the product. For example, a x b = b x a.

Front

If 4 x 6 = 24, what is another way to express this using the commutative property?

Back

6 x 4 = 24

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Which expression shows the distributive property for 7 × (10 + 5)?

Back

(7 × 10) + (7 × 5)

Front

How can you break apart the number 110 using the distributive property?

Back

You can break apart 110 into 100 and 10.

Front

What is the result of 8 × 110 using the distributive property?

Back

880

Front

What is an example of using the associative property with numbers 2, 3, and 4?

Back

(2 x 3) x 4 = 2 x (3 x 4) = 24.

Front

What is the result of 5 x (2 + 3) using the distributive property?

Back

5 x 2 + 5 x 3 = 10 + 15 = 25.