Exploring Algebraic Properties of Rational Expressions

What does the commutative property state?

• Multiplying a number by one does not change its value.

• Adding zero to a number does not change its value.

• The grouping of numbers does not change their sum or product.

• The order of numbers does not change their sum or product.

Which of the following is an example of the commutative property?

• 7 * 1 = 7

• 7 + 0 = 7

• 7 + 3 = 3 + 7

• 7 + (3 + 5) = (7 + 3) + 5

What does the associative property state?

• Multiplying a number by one does not change its value.

• The order of numbers does not change their sum or product.

• Adding zero to a number does not change its value.

• The grouping of numbers does not change their sum or product.

Which of the following is an example of the associative property?

• 7 + (3 + 5) = (7 + 3) + 5

• 7 + 3 = 3 + 7

• 7 + 0 = 7

• 7 * 1 = 7

What does the identity property state?

• The order of numbers does not change their sum or product.

• The grouping of numbers does not change their sum or product.

• Adding zero to a number does not change its value.

• Multiplying a number by one does not change its value.

Which of the following is an example of the identity property?

• 7 + 0 = 7

• 7 + (3 + 5) = (7 + 3) + 5

• 7 * 1 = 7

• 7 + 3 = 3 + 7

Which property is used in the expression: 6 + (7 + 12) = (6 + 7) + 12?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

Which property is used in the expression: 11 * 26 = 26 * 11?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

How can you rewrite the expression 4 * 84 using the commutative property?

• 4 + 84

• 84 + 4

• 84 * 4

• 4 * (84 + 1)

How can you rewrite the expression (2 + 5) + 3 using the associative property?

• 2 + (5 + 3)

• 2 + 5 + 3

• 5 + 2 + 3

• 2 + 5 + (3 + 0)