Math Problem Statement

or Justine drew a scale drawing of a shopping center. The scale of the drawing was 7 millimeters = 1 meter. What scale factor does the drawing use?

Simplify your answer and write it as a fraction.

Solution

To find the scale factor, we express the given scale as a fraction in terms of the same unit.

Given:

  • 7 millimeters represents 1 meter.
  • Convert 1 meter to millimeters:
    1 meter=1000 millimeters1 \text{ meter} = 1000 \text{ millimeters}
  • Write the ratio as a fraction:
    7 mm1000 mm\frac{7 \text{ mm}}{1000 \text{ mm}}
  • Simplify the fraction:
    71000\frac{7}{1000}

Final Answer:

The scale factor is 71000\frac{7}{1000}.

Would you like an explanation of how scale factors are used in real-life applications?


Here are some related questions for further practice:

  1. If a building in the drawing is 35 mm tall, how tall is the actual building?
  2. What would be the drawing length for a 25-meter-long store?
  3. If another scale is given as 5 mm = 2 m, what is the scale factor?
  4. How would the scale change if the drawing used centimeters instead of millimeters?
  5. Can you convert the scale factor into a decimal?

Tip: A scale factor is always written as a ratio without units. It helps compare model sizes to real-world sizes!

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Math Problem Analysis

Mathematical Concepts

Ratios
Scale Drawings
Fractions

Formulas

Scale factor = (Drawing Measurement) / (Actual Measurement)

Theorems

Proportionality in Scale Drawings

Suitable Grade Level

Grades 6-8