https://file.aiquickdraw.com/mathbot/file/1729824547045rjd55c6n.jpg

The problem asks for the quotient of \( 3.013 \times 10^8 \) and \( 6.55 \times 10^5 \), expressed in scientific notation.

To solve this, divide the coefficients and the powers of 10 separately:

\[
\frac{3.013 \times 10^8}{6.55 \times 10^5} = \frac{3.013}{6.55} \times \frac{10^8}{10^5}
\]

1. First, divide the coefficients:

\[
\frac{3.013}{6.55} \approx 0.46
\]

2. Then subtract the exponents of 10:

\[
10^8 \div 10^5 = 10^{8-5} = 10^3
\]

3. Putting it together:

\[
0.46 \times 10^3 = 4.6 \times 10^2
\]

Thus, the quotient is approximately:

\[
4.6 \times 10^2
\]

Let me know if you'd like more details or have any further questions!

Here are 5 related questions you can explore:
1. How do you multiply numbers in scientific notation?
2. How do you handle division when the exponent of the divisor is larger than the dividend?
3. What are the rules for adding and subtracting exponents in scientific notation?
4. How can you simplify a product of powers with different bases?
5. What is the process for converting a number into scientific notation?

**Tip**: When working with scientific notation, always handle the coefficients and powers of 10 separately for easier calculation.

What is the quotient of 3.013 × 10^8 and 6.55 × 10^5 expressed in scientific notation?

Learn how to divide numbers in scientific notation by solving the quotient of 3.013 × 10^8 and 6.55 × 10^5. This solution involves applying the laws of exponents and dividing coefficients. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation