Simplifying Expressions with Real Number Properties

The video tutorial covers the properties of real numbers, focusing on identity, commutative, and associative properties. It explains how these properties apply to addition and multiplication, providing examples and practice problems to reinforce understanding.

What is the result of adding zero to any real number?

• Negative of the number

• The number itself

• Zero

• One

Which property states that the order of addition does not affect the sum?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

What does the commutative property of multiplication state?

• a * b = b * a

• a + (b + c) = (a + b) + c

• a + b = b + a

• a * (b + c) = a * b + a * c

Which property allows you to group numbers differently when adding?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

What is the associative property of multiplication?

• a * (b + c) = a * b + a * c

• a * b = b * a

• a + b = b + a

• a * (b * c) = (a * b) * c

Identify the property: 15 * 3 = 3 * 15.

• Distributive Property

• Associative Property of Addition

• Commutative Property of Multiplication

• Identity Property of Addition

Which property is illustrated by the equation: 17 * 1 = 17?

• Distributive Property

• Identity Property of Multiplication

• Commutative Property of Addition

• Associative Property of Multiplication

Is the statement M - Z = Z - M true or false?

• False, because subtraction is associative

• True, because of the commutative property of addition

• False, because subtraction is not commutative

• True, because of the associative property of subtraction

What is the simplified form of 18 + 7x + 4?

• 7x + 18 + 4

• 22 + 7x

• 18 + 11x

• 7x + 22

What is the total cost of supplies if the prices are $1.45, $3.35, and $2.65?

• $9.45

• $8.45

• $7.45

• $6.45