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The task asks to **rewrite numbers in scientific notation** (standardinė išraiška). Below is the step-by-step conversion for each sub-problem. In scientific notation, a number is expressed as \(a \cdot 10^n\) where \(1 \leq |a| < 10\).

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### **Answers:**
1. **a) \( 35 \cdot 10^1 \)**  
   = \( 3.5 \cdot 10^2 \)

2. **b) \( 123 \cdot 10^3 \)**  
   = \( 1.23 \cdot 10^5 \)

3. **c) \( 500 \cdot 10^2 \)**  
   = \( 5.0 \cdot 10^4 \)

4. **d) \( 324800 \cdot 10^2 \)**  
   = \( 3.248 \cdot 10^7 \)

5. **e) \( 0.8 \cdot 10^1 \)**  
   = \( 8.0 \cdot 10^0 \)

6. **f) \( 0.207 \cdot 10^3 \)**  
   = \( 2.07 \cdot 10^1 \)

7. **g) \( 0.025 \cdot 10^2 \)**  
   = \( 2.5 \cdot 10^0 \)

8. **h) \( 0.0005 \cdot 10^2 \)**  
   = \( 5.0 \cdot 10^{-2} \)

9. **i) \( 300 \cdot 10^1 \)**  
   = \( 3.0 \cdot 10^3 \)

10. **j) \( 521 \cdot 10^{-2} \)**  
    = \( 5.21 \cdot 10^0 \)

11. **k) \( 36 \cdot 10^{-3} \)**  
    = \( 3.6 \cdot 10^{-2} \)

12. **l) \( 3541 \cdot 10^{-6} \)**  
    = \( 3.541 \cdot 10^{-3} \)

13. **m) \( 0.7 \cdot 10^1 \)**  
    = \( 7.0 \cdot 10^0 \)

14. **n) \( 0.005 \cdot 10^3 \)**  
    = \( 5.0 \cdot 10^0 \)

15. **o) \( 0.023 \cdot 10^{-2} \)**  
    = \( 2.3 \cdot 10^{-4} \)

16. **p) \( 0.0362 \cdot 10^{-4} \)**  
    = \( 3.62 \cdot 10^{-6} \)

17. **q) \( 120 \cdot 10^3 \)**  
    = \( 1.2 \cdot 10^5 \)

18. **r) \( 750 \cdot 10^{-1} \)**  
    = \( 7.5 \cdot 10^1 \)

19. **s) \( 0.025 \cdot 10^{-1} \)**  
    = \( 2.5 \cdot 10^{-2} \)

20. **t) \( 0.008 \cdot 10^{-1} \)**  
    = \( 8.0 \cdot 10^{-3} \)

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### **Questions:**
1. What is the general rule for converting numbers into scientific notation?
2. How do negative exponents affect the placement of the decimal in scientific notation?
3. Can you convert \(45 \cdot 10^{-4}\) into proper scientific notation?
4. How do you handle trailing zeros when converting to scientific form?
5. What are some common mistakes when working with scientific notation?

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### **Tip:**
Always ensure that the coefficient \(a\) in scientific notation is between \(1\) and \(10\) (i.e., \(1 \leq |a| < 10\)).

Rewrite the given numbers in standard scientific notation.

This problem requires converting numbers into scientific notation, focusing on the concept of exponents and decimal placement. It covers rewriting numbers like 35 * 10^1 into standard scientific form for students in Grades 7-9.

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