Properties of Operations in Mathematics

Mrs. Golson introduces Lesson 16, focusing on applying properties of operations to multiply and divide rational numbers. The lesson covers the commutative, associative, and distributive properties, providing examples and exercises to illustrate their use. Students are encouraged to solve problems efficiently by recognizing patterns and using properties. The lesson also explains the concept of the multiplicative inverse and its application in division. Essential questions are posed to guide learning, and students are offered extra credit for answering them.

What is the main focus of Lesson 16?

• Understanding irrational numbers

• Applying properties of operations to rational numbers

• Studying historical mathematicians

• Learning about geometric shapes

What is the result of multiplying two negative numbers?

• An undefined result

• Zero

• A positive number

• A negative number

How can you determine the sign of a product with an odd number of negative factors?

• The product is zero.

• The product is negative.

• The product is positive.

• The product is undefined.

What does the distributive property allow you to do?

• Add numbers before multiplying

• Subtract numbers before multiplying

• Multiply a factor by each part of a sum

• Divide numbers before adding

Which property allows you to change the order of factors without affecting the product?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

How does the associative property help in calculations?

• It allows changing the grouping of factors.

• It changes the sign of the product.

• It simplifies fractions.

• It converts decimals to fractions.

What is the multiplicative inverse of 2/3?

• 2/3

• 1/2

• 1/3

• 3/2

How do you rewrite division as multiplication?

• By using the multiplicative inverse

• By using the additive inverse

• By using the associative property

• By using the commutative property

What is the result of multiplying a number by its multiplicative inverse?

• Negative one

• The number itself

• One

• Zero

Which property is used when you distribute a factor across a sum?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property