Metric Micrometer Reading Exercises - Practice measuring with detailed scale illustrations.

To solve the problem of reading the metric micrometer measurements from the provided images, we need to understand how a micrometer works. A micrometer consists of two main parts:

1. Screw Barrel (Main Scale): This is the larger scale with markings in millimeters.
2. Thimble (Rotary Scale): This is the smaller, rotating scale that provides fractional millimeter readings.

Steps to Read a Micrometer:

1. Read the Main Scale: Identify the number of full millimeters on the main scale.
2. Read the Thimble Scale: Determine the fraction of a millimeter by looking at the line on the thimble scale that aligns with the reference line on the sleeve.
3. Add the Two Readings: Combine the main scale reading and the thimble scale reading to get the total measurement.

Detailed Solution for Each Image:

#### Image 1
- Main Scale: The main scale shows 10 mm.
- Thimble Scale: The line on the thimble scale aligns with 25 on the sleeve scale.
- Total Reading: \( 10 \, \text{mm} + 0.25 \, \text{mm} = 10.25 \, \text{mm} \)

#### Image 2
- Main Scale: The main scale shows 15 mm.
- Thimble Scale: The line on the thimble scale aligns with 40 on the sleeve scale.
- Total Reading: \( 15 \, \text{mm} + 0.40 \, \text{mm} = 15.40 \, \text{mm} \)

#### Image 3
- Main Scale: The main scale shows 0 mm.
- Thimble Scale: The line on the thimble scale aligns with 45 on the sleeve scale.
- Total Reading: \( 0 \, \text{mm} + 0.45 \, \text{mm} = 0.45 \, \text{mm} \)

#### Image 4
- Main Scale: The main scale shows 5 mm.
- Thimble Scale: The line on the thimble scale aligns with 5 on the sleeve scale.
- Total Reading: \( 5 \, \text{mm} + 0.05 \, \text{mm} = 5.05 \, \text{mm} \)

#### Image 5
- Main Scale: The main scale shows 0 mm.
- Thimble Scale: The line on the thimble scale aligns with 10 on the sleeve scale.
- Total Reading: \( 0 \, \text{mm} + 0.10 \, \text{mm} = 0.10 \, \text{mm} \)

#### Image 6
- Main Scale: The main scale shows 5 mm.
- Thimble Scale: The line on the thimble scale aligns with 30 on the sleeve scale.
- Total Reading: \( 5 \, \text{mm} + 0.30 \, \text{mm} = 5.30 \, \text{mm} \)

#### Image 7
- Main Scale: The main scale shows 15 mm.
- Thimble Scale: The line on the thimble scale aligns with 15 on the sleeve scale.
- Total Reading: \( 15 \, \text{mm} + 0.15 \, \text{mm} = 15.15 \, \text{mm} \)

#### Image 8
- Main Scale: The main scale shows 0 mm.
- Thimble Scale: The line on the thimble scale aligns with 35 on the sleeve scale.
- Total Reading: \( 0 \, \text{mm} + 0.35 \, \text{mm} = 0.35 \, \text{mm} \)

#### Image 9
- Main Scale: The main scale shows 20 mm.
- Thimble Scale: The line on the thimble scale aligns with 25 on the sleeve scale.
- Total Reading: \( 20 \, \text{mm} + 0.25 \, \text{mm} = 20.25 \, \text{mm} \)

#### Image 10
- Main Scale: The main scale shows 5 mm.
- Thimble Scale: The line on the thimble scale aligns with 10 on the sleeve scale.
- Total Reading: \( 5 \, \text{mm} + 0.10 \, \text{mm} = 5.10 \, \text{mm} \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
\text{Image 1:} & 10.25 \, \text{mm} \\
\text{Image 2:} & 15.40 \, \text{mm} \\
\text{Image 3:} & 0.45 \, \text{mm} \\
\text{Image 4:} & 5.05 \, \text{mm} \\
\text{Image 5:} & 0.10 \, \text{mm} \\
\text{Image 6:} & 5.30 \, \text{mm} \\
\text{Image 7:} & 15.15 \, \text{mm} \\
\text{Image 8:} & 0.35 \, \text{mm} \\
\text{Image 9:} & 20.25 \, \text{mm} \\
\text{Image 10:} & 5.10 \, \text{mm} \\
\end{array}
}
\]