Properties of Addition and Multiplication

Front

What is the distributive property of multiplication over addition?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you apply the distributive property to the expression 3(3 + 5)?

Back

You distribute 3 to both 3 and 5, resulting in (3 x 3) + (3 x 5).

Front

What is the result of applying the distributive property to 5(a + 6)?

Back

The result is 5a + 30.

Front

What is the associative property of addition?

Back

The associative property states that the way in which numbers are grouped in addition does not change their sum, e.g., a + (b + c) = (a + b) + c.

Front

Provide an example of the associative property of addition.

Back

12 + (3 + 4) = (12 + 3) + 4.

Front

What is the commutative property of addition?

Back

The commutative property states that the order in which two numbers are added does not change the sum, e.g., a + b = b + a.

Front

Provide an example of the commutative property of addition.

Back

4 + -3 = -3 + 4.

Front

What is the difference between the associative and commutative properties?

Back

The associative property involves grouping of numbers, while the commutative property involves the order of numbers.

Front

What property of addition allows numbers to stay in the same order but change groups?

Back

The associative property.

Front

What is the identity property of addition?

Back

The identity property states that adding zero to any number does not change the number, e.g., a + 0 = a.