Understanding Subtraction and Number Lines

This lesson teaches how to subtract integers by finding the difference on a number line. It explains integers as positive and negative whole numbers, clarifies common misunderstandings, and explores the meanings of the negative symbol. The lesson provides examples of subtracting integers using the concept of distance, including real-world applications. By the end, students will understand how to determine the difference between integers and apply this knowledge to solve problems.

What are integers?

• Fractions and decimals

• Positive and negative whole numbers, including zero

• Negative whole numbers only

• Positive whole numbers only

Which of the following is true about the number line?

• Numbers increase as you move to the left

• Numbers decrease as you move to the right

• Numbers increase as you move to the right

• Zero is the largest number

Why might some students think that -4 is greater than 3?

• Because -4 is a positive number

• Because -4 is a larger number

• Because -4 is further from zero

• Because -4 is closer to zero

What does the negative symbol represent in subtraction?

• Only subtraction

• Multiplication

• Only addition

• Subtraction or the distance between numbers

What is the result of 10 minus 7 on a number line?

• Positive 7

• Negative 3

• Positive 3

• Zero

If you subtract a larger number from a smaller number, what is the result?

• The same number

• Zero

• A negative number

• A positive number

What is the distance between 5 and 1 on a number line?

• 4 units

• 3 units

• 5 units

• 2 units

What is the result of 3 minus negative 2?

• Positive 5

• Negative 5

• Negative 1

• Positive 1

How far is it from the top of a 60-meter building to the bottom of a parking lot 50 meters below ground?

• 10 meters

• 60 meters

• 50 meters

• 110 meters

What is the result of 60 minus negative 50?

• 50

• 60

• 110

• 10