Exploring Properties of Addition and Multiplication

The video covers section 5.3 on properties of addition and multiplication, focusing on equivalent expressions. It explains the commutative and associative properties, providing examples to illustrate how these properties can be used to simplify expressions. Additional properties, such as the addition property of 0 and the multiplication properties of 0 and 1, are also discussed. The video concludes with a real-world application example, demonstrating how these properties can be applied to solve problems.

What is an equivalent expression for 2x + 5x?

• 5x

• 7x

• 10x

• 2x + 5

Which property states that changing the order of addends does not change the sum?

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

What is the commutative property of multiplication?

• Changing the grouping of factors

• Changing the order of factors

• Adding zero to a number

• Multiplying by one

Which property allows you to change the grouping of addends without changing the sum?

• Distributive Property

• Associative Property

• Identity Property

• Commutative Property

How can you simplify the expression 7 + (12 + x) using properties?

• By using the commutative property

• By using the associative property

• By using the identity property

• By using the distributive property

What is the simplified form of 6.1 + x + 8.4 using properties?

• 6.1 + 8.4 + x

• 6.1 + 8.4

• 14.5 + x

• x + 14.5

What does the addition property of zero state?

• The product of any number and zero is that number

• The sum of any number and zero is that number

• The product of any number and zero is zero

• The sum of any number and zero is zero

What is the result of multiplying any number by zero?

• Zero

• The number itself

• The number plus one

• One

What is the multiplicative identity property?

• Adding one

• Multiplying by one

• Multiplying by zero

• Adding zero

How much did the sponsor pay in total if each t-shirt costs $14.50?

• $101.50

• $168.25

• $100

• $269.75