Math Problem Statement

Eddie drew a scale drawing of a house and its lot. The scale he used was 8 millimeters = 1 meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.

Solution

In this problem, Eddie used a scale where 8 millimeters represents 1 meter. The question asks for the scale factor, which compares the dimensions in the drawing to the actual dimensions.

To express the scale factor as a fraction:

  • The drawing size is 8 millimeters.
  • The actual size is 1 meter, which is equivalent to 1000 millimeters.

Now, the scale factor is:

Scale Factor=8 mm1000 mm=81000\text{Scale Factor} = \frac{8 \text{ mm}}{1000 \text{ mm}} = \frac{8}{1000}

Simplify the fraction:

81000=2250=1125\frac{8}{1000} = \frac{2}{250} = \frac{1}{125}

So, the scale factor is 1125\frac{1}{125}.

Let me know if you need further details or have any questions!

Here are some related questions you can explore:

  1. How do you convert different units when calculating scale factors?
  2. What is the importance of using the same units in both the drawing and real size?
  3. How can you determine the actual size of an object from a scale drawing?
  4. What is the inverse of a scale factor and how is it used?
  5. Can the scale factor be expressed as a decimal, and how would that change the interpretation?

Tip: Always double-check unit conversions to avoid calculation errors when working with scale drawings.

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Math Problem Analysis

Mathematical Concepts

Ratios
Scale Factor
Unit Conversion

Formulas

Scale Factor = Drawing Size / Actual Size

Theorems

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Suitable Grade Level

Grades 6-8