Understanding Scale Factors and Measurements

The video tutorial covers the concept of scale factor, using examples like maps and posters to explain how to calculate and apply it. It demonstrates converting units, simplifying calculations with Desmos, and creating scale drawings. The tutorial emphasizes the importance of using consistent units and provides practical exercises to reinforce learning.

What is the scale factor if the map distance is 4 cm and the actual distance is 56 km?

• 1/14

• 1/1400

• 1/14000

• 1/140

How many decimal places do you move to convert kilometers to centimeters?

• 6

• 5

• 4

• 3

If a poster is 36 inches wide and a button is 2 inches wide, what is the scale factor?

• 1/12

• 1/9

• 1/18

• 1/6

What is the scale factor when the scale is 5 cm and the original is 3 cm?

• 2/3

• 5/3

• 1/2

• 3/5

If the diameter is 12 cm and the radius is 6 cm, what is the scale factor?

• 3

• 2

• 1

• 1/2

What is the scale factor if the original is 24 cm and the scale is 12 cm?

• 1/2

• 3

• 2

• 1/3

What is the scale factor if a drawing is enlarged from 1 inch to 3 inches?

• 1/2

• 1/3

• 2

• 3

How do you calculate the new measurement using a scale factor of 3/4?

• Add 3/4 to the original

• Divide the original by 3/4

• Multiply the original by 3/4

• Multiply the original by 4/3

What is the result of multiplying 11/16 by 3?

• 2 and 5/16

• 2 and 3/16

• 2 and 7/16

• 2 and 1/16

If a scale factor is 3/4, how does the new drawing compare to the original?

• It is twice as large

• It is larger

• It is smaller

• It is the same size