Lesson 6-8 Additional Practice HW (Math6)

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, a + b = b + a.

Front

Provide an example of the Commutative Property in addition.

Back

An example is: 3 + 5 = 5 + 3.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the sum or product. For example, (a + b) + c = a + (b + c).

Front

Provide an example of the Associative Property in addition.

Back

An example is: (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Front

Provide an example of the Distributive Property.

Back

An example is: 2(3 + 4) = 2*3 + 2*4.

Front

What does it mean to write an equivalent expression?

Back

Writing an equivalent expression means to express the same value in different forms, such as rearranging terms or using properties of operations.

Front

How does the Commutative Property apply to the expression 17 + 8x + 5x?

Back

Using the Commutative Property, we can rearrange the terms to write 17 + 5x + 8x.

Front

How does the Associative Property apply to the expression (13 + 2x) + 3x?

Back

Using the Associative Property, we can group the terms differently to write 13 + (3x + 2x).

Front

What is the difference between the Commutative and Associative Properties?

Back

The Commutative Property deals with the order of numbers, while the Associative Property deals with the grouping of numbers.