What is the quotient when 7.01 x 10^7 is divided by 5.12 x 10^5?
Round to the nearest hundredth, as needed.
A. 1.213 x 10^7   B. 1.37 x 10^2   C. 1.89 x 10^9

To find the quotient of \( \frac{7.01 \times 10^7}{5.12 \times 10^5} \), follow these steps:

### Step 1: Divide the coefficients
\[
\frac{7.01}{5.12} \approx 1.37
\]

### Step 2: Subtract the exponents of 10
\[
10^7 \div 10^5 = 10^{7-5} = 10^2
\]

### Step 3: Combine the results
\[
1.37 \times 10^2
\]

### Final Answer:
The quotient is \( 1.37 \times 10^2 \), which matches option **B**.

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Would you like more details on how the calculation works?

Here are some related questions:
1. How do you multiply or divide powers of 10?
2. What are the rules for significant figures in scientific notation?
3. How do you convert between scientific and standard notation?
4. How do you perform operations with numbers in scientific notation?
5. Why do you subtract exponents when dividing powers of 10?

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

What is the quotient when 7.01 x 10^7 is divided by 5.12 x 10^5? Round to the nearest hundredth, as needed.

Find the quotient of 7.01 x 10^7 divided by 5.12 x 10^5 using scientific notation. This problem covers key mathematical concepts like the division of powers of 10 and basic arithmetic operations. Suitable for students in Grades 8-10, with a step-by-step solution.

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