Distance and Midpoint on the Number Line

The video tutorial covers how to calculate distances and midpoints on a number line and a Cartesian plane. It explains the process of finding distances between positive and negative numbers, as well as between points with x and y coordinates. The tutorial also provides methods for calculating midpoints by finding the distance and dividing it by two. Practical examples are used to illustrate these concepts, ensuring a clear understanding of the mathematical principles involved.

How do you find the distance between two positive points on a number line?

• Subtract the smaller point from the larger point

• Add the two points together

• Multiply the two points

• Divide the larger point by the smaller point

What is the distance between -5 and -9 on a number line?

• 5

• 14

• 4

• 3

When finding the distance between a negative and a positive number, what should you do?

• Subtract the numbers

• Divide the numbers

• Add the numbers

• Multiply the numbers

What is the distance between -49 and 7?

• 42

• 56

• 49

• 7

How do you find the midpoint between two numbers?

• Add the numbers and multiply by 2

• Add the numbers and divide by 2

• Subtract the smaller number from the larger number

• Multiply the numbers and divide by 2

What is the midpoint between -4 and 1?

• 2

• 1.5

• 0

• -1.5

If the total distance between two points is 20, what is the midpoint?

• 5

• 10

• 15

• 20

What is the midpoint between -11 and 9?

• 0

• -2

• -1

• 1

How do you find the distance between points with the same x-coordinates on a Cartesian plane?

• Add the x-coordinates

• Add the y-coordinates

• Subtract the y-coordinates

• Subtract the x-coordinates

What is the distance between points (8, 5) and (-1, 5) on a Cartesian plane?

• 7

• 8

• 10

• 9