Evaluate the following quotient. Leave your answer in scientific notation.

(2.03×10−24)÷(2.9×10−8)

To evaluate the quotient \((2.03 \times 10^{-24}) \div (2.9 \times 10^{-8})\), follow these steps:

1. **Divide the coefficients:**  
   \[
   \frac{2.03}{2.9} \approx 0.7
   \]

2. **Subtract the exponents of 10:**  
   \[
   10^{-24} \div 10^{-8} = 10^{-24 - (-8)} = 10^{-24 + 8} = 10^{-16}
   \]

3. **Combine the results:**  
   \[
   0.7 \times 10^{-16}
   \]

Since scientific notation typically requires the coefficient to be between 1 and 10, we adjust \(0.7 \times 10^{-16}\) as follows:

\[
0.7 \times 10^{-16} = 7 \times 10^{-17}
\]

Thus, the answer in scientific notation is:

\[
\boxed{7 \times 10^{-17}}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you multiply numbers in scientific notation?
2. What is the rule for dividing numbers with the same base but different exponents?
3. How do you convert a number into proper scientific notation?
4. How does the exponent change when you divide two powers of 10?
5. What happens if you divide two numbers in scientific notation where the coefficient division results in a number greater than 10?

**Tip:** Always ensure the coefficient in scientific notation is between 1 and 10 to adhere to standard scientific notation conventions.

Learn how to evaluate the quotient of scientific notation (2.03×10^-24) ÷ (2.9×10^-8) with a step-by-step solution. This problem involves dividing numbers in scientific notation and adjusting the result to proper scientific notation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation