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Let's go through some of the questions from the worksheet and solve them step by step. I'll provide answers in scientific notation where required.

### Part 1: Find the sum or difference. Write your answer in scientific notation.
#### 1. \( (2 \times 10^4) + (5 \times 10^4) \)
- Both terms have the same exponent, so we can directly add them:
  \[
  (2 + 5) \times 10^4 = 7 \times 10^4
  \]
  
#### 2. \( (3.5 \times 10^{-3}) + (1 \times 10^{-3}) \)
- Both terms have the same exponent:
  \[
  (3.5 + 1) \times 10^{-3} = 4.5 \times 10^{-3}
  \]
  
#### 3. \( (8.3 \times 10^{-5}) - (4.4 \times 10^{-5}) \)
- Both terms have the same exponent, so we subtract the coefficients:
  \[
  (8.3 - 4.4) \times 10^{-5} = 3.9 \times 10^{-5}
  \]

#### 4. \( (7.2 \times 10^9) - (5.8 \times 10^9) \)
- Subtract the coefficients since they share the same exponent:
  \[
  (7.2 - 5.8) \times 10^9 = 1.4 \times 10^9
  \]

### Part 2: Find the product or quotient. Write your answer in scientific notation.
#### 7. \( (1 \times 10^5) \times (4 \times 10^2) \)
- Multiply the coefficients and add the exponents:
  \[
  (1 \times 4) \times 10^{5+2} = 4 \times 10^7
  \]

#### 8. \( (8 \times 10^5) \div (4 \times 10^5) \)
- Divide the coefficients and subtract the exponents:
  \[
  (8 \div 4) \times 10^{5-5} = 2 \times 10^0 = 2
  \]

#### 9. \( (2 \times 10^{-4}) \times (3 \times 10^7) \)
- Multiply the coefficients and add the exponents:
  \[
  (2 \times 3) \times 10^{-4 + 7} = 6 \times 10^3
  \]

#### 10. \( (9 \times 10^7) \div (3 \times 10^2) \)
- Divide the coefficients and subtract the exponents:
  \[
  (9 \div 3) \times 10^{7-2} = 3 \times 10^5
  \]

Would you like further details or explanations on any particular question? 

### Related Questions:
1. How do you add numbers in scientific notation when their exponents are different?
2. Can you explain how to handle subtraction with scientific notation?
3. What is the method for multiplying numbers with scientific notation when their bases differ?
4. How do you simplify expressions with powers of 10 in both multiplication and division?
5. When multiplying terms in scientific notation, how are negative exponents handled?

**Tip:** Always ensure that the terms you're adding or subtracting in scientific notation have the same exponent before performing the operation!

The user submitted an image with scientific notation problems involving addition, subtraction, multiplication, division, and area calculation.

This worksheet covers operations in scientific notation, including addition, subtraction, multiplication, and division. It also includes area calculations using scientific notation. Suitable for students in Grades 7-9.

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