https://file.aiquickdraw.com/mathbot/file/17267184104475b3qtigu.jpg

Let's analyze the problem step by step.

### Step 1: Rewrite the numbers in standard notation.
- \( 7 \times 10^3 = 7,000 \)
- \( 8.2 \times 10^2 = 820 \)

### Step 2: Perform the subtraction.
\[
7,000 - 820 = 6,180
\]

### Step 3: Convert the result back into scientific notation.
\( 6,180 = 6.18 \times 10^3 \)

### Step 4: Identify the mantissa and exponent.
- **Mantissa (a part):** 6.18
- **Exponent (b part):** 3

### Conclusion:
- The "a" part of the answer is **6.18**.
- The "b" part of the answer is **3**.

For the blanks:
- **Blank 1:** 6.18
- **Blank 2:** 3

Would you like more details or have any questions? Here are some related questions:

1. How do you convert numbers between standard and scientific notation?
2. Why is scientific notation useful in representing large or small numbers?
3. How would the answer change if both numbers were added instead of subtracted?
4. Can you explain why 6.18 retains the exponent of 10^3?
5. What are the rules for performing operations with numbers in scientific notation?

**Tip:** When adding or subtracting numbers in scientific notation, ensure both terms have the same exponent before performing the operation.

7 x 10^3 - 8.2 x 10^2. Perform the subtraction and express the answer in scientific notation.

Learn how to subtract two numbers in scientific notation, 7 x 10^3 and 8.2 x 10^2, and express the result in scientific notation. Detailed step-by-step explanation, perfect for Grades 7-9 students.

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