To solve the expression \(\frac{1.19 \times 10^{12}}{3.2 \times 10^7}\), follow these steps:

1. **Divide the numerical coefficients**: 
   \[
   \frac{1.19}{3.2} \approx 0.371875
   \]

2. **Subtract the exponents**: 
   \[
   10^{12} \div 10^7 = 10^{(12 - 7)} = 10^5
   \]

3. **Combine the results**: 
   \[
   0.371875 \times 10^5
   \]

4. **Express in scientific notation**:
   \[
   0.371875 \times 10^5 = 3.71875 \times 10^4
   \]

So, \(\frac{1.19 \times 10^{12}}{3.2 \times 10^7} = 3.71875 \times 10^4\).

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. How do you simplify expressions involving multiplication and division of powers of ten?
2. What are the rules for multiplying and dividing numbers in scientific notation?
3. How can you convert between standard form and scientific notation?
4. What are the advantages of using scientific notation in large and small number calculations?
5. How do rounding and significant figures play a role in scientific notation?

**Tip:** When dividing numbers in scientific notation, always handle the numerical coefficients and exponents separately to simplify calculations.

Learn how to divide numbers in scientific notation by solving the expression 1.19 x 10^12 / 3.2 x 10^7. This problem covers key mathematical concepts such as scientific notation, exponent rules, and division of powers of ten. Suitable for students in Grades 9-12.

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