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This image contains a set of math problems written in Swedish under the title "LÄXA 3 EFTER AVSNITT 1.5". Here’s a translation and breakdown of the key questions:

1. **Exponential Expressions:**
   - \( 10^4 \cdot 10^2 \) and other variations.

2. **Scientific Notation and Decimals:**
   - Write 0.0001 in scientific notation, etc.

3. **Understanding Powers of Ten:**
   - A question about why \( 10^3 \) is not half of \( 10^6 \).

4. **Finding the Midpoint Between Two Values:**
   - Find the value between numbers like -18 and -4, or \( -14 \) and 12.

5. **Basic Arithmetic Operations:**
   - Perform operations like \( 7 + (-3) \) or \( (-7) - (-3) \).

6. **Triangle Angle Calculation:**
   - Calculate angles \( x \) and \( y \) in a triangle with given angles (45° and 30°).

7. **Weight of Gasoline Problem:**
   - A problem related to determining the weight of 1 liter of gasoline.

8. **Coin Weighing Puzzle:**
   - A puzzle involving fake coins where you must solve the problem with just one weighing.

9. **World's Largest Wheel:**
   - Calculating the width of the largest wheel using its volume (19 m³).

10. **Truck Speed Calculation:**
    - Determining the speed of a truck's wheels given that it rotates once every four seconds.

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Math problems including exponential expressions, scientific notation, arithmetic operations, and geometric angles.

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