Map Scales and Real-World Distances

Maria Miller from Math Mama explains how to use scales on maps to convert distances from maps to real-world measurements. The video covers both metric and customary units, providing detailed steps for converting distances and calculating areas. It includes examples of converting kilometers to centimeters and miles to inches, as well as finding the real-world area of a park from its map dimensions.

What does a map scale of 1:200,000 mean?

• 1 unit on the map equals 200,000 units in reality

• 2,000 units on the map equal 1 unit in reality

• 1 unit on the map equals 2,000 units in reality

• 200,000 units on the map equal 1 unit in reality

If a map distance is 3.2 cm, how do you find the real-world distance using a scale of 1:200,000?

• Divide 3.2 by 200,000

• Divide 3.2 by 200

• Multiply 3.2 by 200,000

• Multiply 3.2 by 200

How do you convert 50 miles to inches before using a map scale of 1:250,000?

• Divide by 12 and then by 5,280

• Multiply by 12 and then by 5,280

• Divide by 5,280 and then by 12

• Multiply by 5,280 and then by 12

How do you convert a decimal inch measurement to a fraction for map scales?

• Use trial and error with common fractions

• Multiply by 10 and round

• Divide by 10 and round

• Convert to centimeters first

What is the first step in converting 1.5 kilometers to map distance using a scale of 1:30,000?

• Convert kilometers to inches

• Convert kilometers to meters

• Convert kilometers to miles

• Convert kilometers to feet

What is the real-world distance if a map shows 1.5 kilometers with a scale of 1:30,000?

• 5 centimeters

• 50 centimeters

• 500 centimeters

• 5,000 centimeters

How do you simplify the division of 1,500 meters by 30,000 in map calculations?

• Add zeros and divide by 3

• Multiply by 100 and divide by 3

• Cancel zeros and divide 15 by 3

• Subtract zeros and multiply by 3

How do you calculate the real-world area of a park from its map dimensions?

• Multiply the length and width, then multiply by the scale

• Add the length and width, then divide by the scale

• Add the length and width, then multiply by the scale

• Multiply the length and width, then divide by the scale

What is the real-world length of a park if its map length is 3/4 inch with a scale of 1:8,000?

• 60 inches

• 6 inches

• 600 inches

• 6,000 inches

What is the area of a park in reality if its map dimensions are 3/4 inch by 1 1/8 inch with a scale of 1:8,000?

• 375,000 square feet

• 37,500 square feet

• 3,750 square feet

• 375 square feet