Properties of Operations in Mathematics

The video tutorial reviews the five properties of real numbers: commutative and associative properties of addition and multiplication, and the distributive property. Each property is explained with examples, demonstrating how the order or grouping of numbers affects the result. The tutorial concludes with a recap of the properties and their applications.

What does the commutative property of addition state?

• A + B = B + A

• A * B = B * A

• A + B + C = A + (B + C)

• A * (B + C) = A * B + A * C

Which property is demonstrated by the equation 2 * 3 = 3 * 2?

• Associative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Distributive Property

How does the associative property of addition affect grouping?

• It distributes multiplication over addition.

• It changes the grouping of terms.

• It changes the order of multiplication.

• It changes the order of terms.

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

• 2 * (3 + 4) = 2 * 3 + 2 * 4

• 2 + 3 = 3 + 2

• 2 * 3 = 3 * 2

• (2 + 3) + 4 = 2 + (3 + 4)

What does the associative property of multiplication state?

• (A * B) * C = A * (B * C)

• A * B = B * A

• A + B = B + A

• A * (B + C) = A * B + A * C

Which equation is an example of the associative property of multiplication?

• 2 * (3 + 4) = 2 * 3 + 2 * 4

• 2 * 3 = 3 * 2

• 2 + 3 = 3 + 2

• (2 * 3) * 4 = 2 * (3 * 4)

What is the distributive property?

• A * B = B * A

• (A * B) * C = A * (B * C)

• A * (B + C) = A * B + A * C

• A + B = B + A

Which of the following demonstrates the distributive property?

• 2 * 3 = 3 * 2

• 2 * (3 + 4) = 2 * 3 + 2 * 4

• 2 + 3 = 3 + 2

• (2 * 3) * 4 = 2 * (3 * 4)

In the example 2 + 3 = 3 + 2, which property is being used?

• Commutative Property of Addition

• Distributive Property

• Associative Property of Addition

• Associative Property of Multiplication

Which property is illustrated by the equation (2 + 3) + 4 = 2 + (3 + 4)?

• Associative Property of Multiplication

• Distributive Property

• Commutative Property of Addition

• Associative Property of Addition