Dividing Integers and Their Properties

This lesson covers dividing integers, emphasizing the similarity to multiplication rules. It explains that division is repeated subtraction and uses examples like a diver descending 100 feet to illustrate dividing negative integers. The lesson outlines rules for determining the sign of the quotient based on the signs of the numbers involved. Practice problems are provided to reinforce understanding, and the lesson concludes with a summary of key points.

What is the main concept of division as explained in the introduction?

• Division is repeated addition.

• Division is a form of multiplication.

• Division is repeated subtraction.

• Division is a form of addition.

In the diver example, what is the integer representation of descending 100 feet?

• Zero

• Positive 20

• Positive 100

• Negative 100

How many feet does the diver descend in each stage?

• 10 feet

• 15 feet

• 25 feet

• 20 feet

What is the first step in dividing integers according to the rules section?

• Multiply the numbers.

• Divide the absolute values.

• Check the signs of the numbers.

• Add the numbers.

What sign does the quotient have if both integers have the same sign?

• Positive

• Negative

• Zero

• Undefined

What is the result of 24 divided by -3?

• 6

• -6

• 8

• -8

What is the result of -18 divided by -6?

• 6

• -6

• 3

• -3

What should you do after dividing the absolute values of integers?

• Add the numbers.

• Multiply the numbers.

• Check the signs and apply the correct sign to the quotient.

• Subtract the numbers.

What is the hardest part about dividing integers according to the lesson?

• Finding the absolute values.

• Remembering the multiplication rules.

• Checking the signs.

• Applying the rules to addition and subtraction.

What is the implied sign of a number with no sign in front of it?

• Negative

• Undefined

• Zero

• Positive