https://file.aiquickdraw.com/mathbot/file/17263877338426c8fzcof.jpg

The problem in the image asks us to calculate the following expression and provide the answer in standard form to 2 significant figures:

\[
\frac{7.4 \times 10^5 + 1.3 \times 10^4}{5.5 \times 10^{-4}}
\]

### Steps:

1. **Addition in the numerator:**
   \[
   7.4 \times 10^5 + 1.3 \times 10^4
   \]
   We'll rewrite both numbers to have the same power of ten for easy addition:
   \[
   7.4 \times 10^5 + 0.13 \times 10^5 = (7.4 + 0.13) \times 10^5 = 7.53 \times 10^5
   \]

2. **Division by the denominator:**
   Now divide the result by \( 5.5 \times 10^{-4} \):
   \[
   \frac{7.53 \times 10^5}{5.5 \times 10^{-4}} = \frac{7.53}{5.5} \times 10^{5 - (-4)} = 1.369 \times 10^9
   \]

3. **Rounding to 2 significant figures:**
   Rounding \( 1.369 \times 10^9 \) to 2 significant figures gives:
   \[
   1.4 \times 10^9
   \]

Thus, the final answer is \( \boxed{1.4 \times 10^9} \).

Let me know if you'd like further details, or if you have any questions! Here are some related questions:

1. What are the rules for adding numbers in standard form?
2. How does the power of 10 affect multiplication and division?
3. Why is it necessary to round to a specific number of significant figures?
4. What are the steps to convert between standard form and regular notation?
5. Can you provide examples of problems involving multiplication and division in scientific notation?

**Tip:** When adding or subtracting numbers in standard form, make sure the powers of 10 match before performing the operation.

Using a calculator, work out (7.4 × 10^5 + 1.3 × 10^4) ÷ (5.5 × 10^-4) and give the answer in standard form to 2 significant figures.

Learn how to solve the expression (7.4 × 10^5 + 1.3 × 10^4) ÷ (5.5 × 10^-4) in standard form with a detailed step-by-step guide. This problem involves adding and dividing numbers in scientific notation and is ideal for students in Grades 8-10. Answer rounded to two significant figures.

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