Properties of Operations

What is the Associative Property of Multiplication?

• The Associative Property of Multiplication states that the way in which numbers are grouped does not change the product. Example: (a × b) × c = a × (b × c).

• The Associative Property of Multiplication states that the product of a number and one is the number itself. Example: a × 1 = a.

• The Associative Property of Multiplication states that the product of a number and zero is zero. Example: a × 0 = 0.

• The Associative Property of Multiplication states that the order of numbers does not change the product. Example: a × b = b × a.

Which property is this example? 7(8x9) = 9(8x7)

• Associative Property of multiplication

• Commutative Property of multiplication

• Distributive Property

• Identity Property of multiplication

Provide an example of the Associative Property of Addition.

• (1 + 2) + 3 = 1 + (2 + 3) = 6.

• (2 + 3) + 4 = 2 + (3 + 4) = 9.

• (5 + 1) + 2 = 5 + (1 + 2) = 8.

• (3 + 3) + 3 = 3 + (3 + 3) = 12.

Provide an example of the Commutative Property of Multiplication.

• 5 × 3 = 15

• 3 × 5 = 15

• 5 × 3 = 3 × 5 = 15

• 5 × 3 = 5 + 3

What is the Identity Property of Addition?

• Adding one to any number does not change the number.

• Adding zero to any number does not change the number.

• The sum of two numbers is always greater than either number.

• The product of any number and one is the number itself.

Which property is this example? 10+4 = 4+10

• Commutative property of addition

• Associative property of addition

• Distributive property of multiplication

• Identity property of addition

What is the Associative Property of Addition?

• The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. Example: (a + b) + c = a + (b + c).

• The Associative Property of Addition states that the sum of two numbers is always the same regardless of their order. Example: a + b = b + a.

• The Associative Property of Addition states that adding zero to any number does not change the number. Example: a + 0 = a.

• The Associative Property of Addition states that the sum of three numbers is equal to the sum of the first two numbers plus the third. Example: a + (b + c) = (a + b) + c.

Which property is this example? (1+2)+3=1+(2+3)

• Commutative Property of addition

• Distributive Property

• Associative Property of addition

• Identity Property of addition

What is the difference between Commutative and Associative Properties?

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

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

• Commutative Property applies only to addition, while Associative Property applies only to multiplication.

• Commutative Property is used in geometry, while Associative Property is used in algebra.

What is the Distributive Property?

• The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products.

• The Distributive Property states that a number added to a sum is equal to the product of the individual numbers.

• The Distributive Property states that a number divided by a sum is equal to the sum of the individual quotients.

• The Distributive Property states that a number subtracted from a sum is equal to the difference of the individual numbers.