Understanding the Relationship Between Negative Numbers

This lesson explores the relationship between positive and negative numbers using a number line. It demonstrates how to compare numbers like 3 and -4, and addresses common misconceptions about negative numbers. The lesson also covers comparing two negative numbers, such as -7 and -5, and finding numbers between two values, like 1 and -6, using a number line.

What is the position of -4 on a number line relative to 3?

• -4 is above 3

• -4 is at the same position as 3

• -4 is to the left of 3

• -4 is to the right of 3

Why might someone incorrectly think that -7 is greater than 3?

• Because -7 is a larger number than 3

• Because they ignore the negative sign

• Because -7 is a positive number

• Because -7 is closer to zero

Which number is greater: -5 or -7?

• -5 and -7 are equal

• -5 is greater than -7

• -7 is greater than -5

• It depends on the context

What is the range of whole numbers between 1 and -6 on a number line?

• 1, 0, -1, -2, -3, -4, -5, -6

• 0, -1, -2, -3, -4, -5

• 2, 3, 4, 5

• -1, -2, -3, -4, -5, -6

How can you determine which numbers are between 1 and -6?

• By counting all numbers from 1 to -6

• By listing all positive numbers

• By identifying numbers to the left of 1 and right of -6

• By listing all negative numbers