Properties of Operations

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

• Commutative Property of addition

• Distributive Property of multiplication

• Associative Property of addition

• Identity Property of addition

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

Provide an example of the Identity Property of Addition.

• 15 + 0 = 15

• 10 + 5 = 15

• 20 + 0 = 20

• 5 + 5 = 10

Provide an example of the Distributive Property.

• 3(2 + 3) = 3×2 + 3×3 = 6 + 9 = 15.

• 3(4 + 5) = 3×4 + 3×5 = 12 + 15 = 27.

• 3(1 + 6) = 3×1 + 3×6 = 3 + 18 = 21.

• 3(5 + 2) = 3×5 + 3×2 = 15 + 6 = 21.

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 Commutative Property of Addition?

• The Commutative Property of Addition states that changing the order of the addends does not change the sum.

• The Commutative Property of Addition states that the sum of two numbers is always greater than either number.

• The Commutative Property of Addition states that the sum of two numbers is always equal to their product.

• The Commutative Property of Addition states that addition is only possible with whole numbers.

What is the Commutative Property of Multiplication?

• The Commutative Property states that the product of two numbers is always greater than either number.

• The Commutative Property of Multiplication states that changing the order of the factors does not change the product.

• The Commutative Property states that the sum of two numbers is equal to their product.

• The Commutative Property of Multiplication states that multiplying by zero results in zero.

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.

What is the Associative Property of Multiplication?

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

• The way in which numbers are grouped does not change the product. Example: (a × b) × c = a × (b × c).

• The sum of two numbers is equal to the product of those numbers.

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

Provide an example of the Commutative Property of Multiplication.

• 5 × 3 = 15

• 3 × 5 = 15

• 5 × 3 = 3 × 5 = 15

• 5 + 3 = 8