Math Properties

Give an example of the Distributive Property.

• 2(3 + 4) = 2•3 + 2•4

• 3(2 + 5) = 3•2 + 5

• 4(1 + 2) = 4•1 + 4•2

• 5(6 + 1) = 5•6 + 1•5

What is the Commutative Property of Multiplication?

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

• The Commutative Property of Multiplication states that the product of any number and zero is zero.

• The Commutative Property of Multiplication states that the product of two negative numbers is positive.

• The Commutative Property of Multiplication states that multiplying a number by one does not change the number.

What is the difference between the Associative Property and the Commutative Property?

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

• The Associative Property is about the order of numbers, while the Commutative Property is about grouping.

• Both properties are the same and can be used interchangeably.

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

What does it mean for two expressions to be equivalent?

• They are always equal regardless of the values of their variables.

• They have the same value when evaluated.

• They can be simplified to the same expression.

• They are interchangeable in all mathematical contexts.

Give an example of the Associative Property of Multiplication.

• 2 • (3 • 7) = (2 • 3) • 7

• (2 • 3) • 7 = 2 • (3 • 7)

• 2 • 3 • 7 = 2 • (3 + 7)

• (2 + 3) • 7 = 2 • 7 + 3 • 7

What is the Identity Property of Multiplication?

• The Identity Property of Multiplication states that when you multiply any number by zero, the product is zero.

• The Identity Property of Multiplication states that when you multiply any number by one, the product is that number.

• The Identity Property of Multiplication states that when you multiply any number by itself, the product is that number squared.

• The Identity Property of Multiplication states that when you multiply any number by two, the product is double that number.

Are the expressions 6 – (4 – 1) and (6 – 4) – 1 equivalent?

• Yes, these two expressions are equivalent.

• No, these two expressions are not equivalent.

• They are equivalent in some cases.

• It cannot be determined.

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

• The Distributive Property states that a + (b + c) = (a + b) + c. It allows you to add numbers in any order.

• The Distributive Property states that a(b - c) = ab - ac. It allows you to multiply a number by a difference.

• The Distributive Property states that a(b + c) = a + b + c. It allows you to add a number to a sum.

What is an example of the Identity Property of Multiplication?

• 12 • 1 = 12

• 12 • 0 = 0

• 12 • 2 = 24

• 12 • 3 = 36

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 in a multiplication problem does not change the product.

• The order of numbers in multiplication affects the product.

• Multiplication of any number by zero results in one.