The video lesson covers applying properties of operations to multiply and divide rational numbers. It begins with an introduction and objectives, followed by a warm-up problem to reinforce understanding. The lesson then delves into using properties like commutative and associative to simplify multiplication and division of rational numbers. The teacher explains strategies for evaluating expressions and determining the sign of products based on the number of negative terms. Homework and classwork assignments are provided to reinforce the concepts taught.

What materials are required for the lesson on applying properties of operations?

• A ruler and a protractor

• A calculator and a notebook

• A laptop and headphones

• A math book and a pencil

Which scenario correctly models the expression 60 + (-40) + 80?

• A temperature change from 60°F to 40°F and then to 80°F

• Processing 60, 40, and 80 boxes on consecutive days

• A person running 60 meters north, 40 meters south, and 80 meters north

• A savings account with deposits of 60 and 40, and a withdrawal of 80

How can you determine the sign of a product when multiplying rational numbers?

• By counting the number of negative numbers

• By subtracting the smallest number from the largest

• By counting the number of positive numbers

• By adding all the numbers together

What is the result of multiplying negative six by five and one-third using the distributive property?

• -32

• -30

• -28

• -34

What is the first step in using the distributive property with mixed numbers?

• Divide the mixed number by two

• Convert the mixed number to a decimal

• Rewrite the mixed number as a sum

• Multiply the whole number by the fraction

What is the multiplicative inverse of 2/3?

• -2/3

• 2/3

• -3/2

• 3/2

How do you rewrite the division of 1 by 2/3 as a multiplication?

• 1 times 2/3

• 1 times 3/2

• 1 divided by 3/2

• 1 plus 2/3

What is the result of multiplying 24 by 3?

• 68

• 70

• 76

• 72

When can you use the counting of positive and negative numbers to determine the sign of an answer?

• In all operations

• Only in multiplication and division

• Only in subtraction

• Only in addition

What is the reciprocal of a negative one-half?

• 1/2

• -2

• 2

• -1/2