Divide the following and express your answer in appropriate scientific notation:1.932×10−2/2.8×10−37

To divide these numbers, let's proceed with the expression:

\[
\frac{1.932 \times 10^{-2}}{2.8 \times 10^{-37}}
\]

This division can be broken down as follows:

1. **Divide the coefficients**: \( \frac{1.932}{2.8} \approx 0.69 \).
2. **Subtract the exponents**: \( 10^{-2} - (-37) = 10^{35} \).

Putting it all together:

\[
0.69 \times 10^{35}
\]

To express this in proper scientific notation, adjust \( 0.69 \) to \( 6.9 \times 10^{-1} \):

\[
6.9 \times 10^{-1} \times 10^{35} = 6.9 \times 10^{34}
\]

So, the answer in scientific notation is:

\[
6.9 \times 10^{34}
\]

Would you like further clarification or details on the steps?

---

### Related Questions

1. What is scientific notation, and why is it useful in calculations?
2. How do you handle division when both numbers are in scientific notation?
3. What steps should be taken to ensure the result is in proper scientific notation?
4. How would the result change if we were multiplying instead of dividing?
5. How do we handle very small numbers (like \(10^{-37}\)) in scientific calculations?

**Tip**: When working with scientific notation, always adjust the coefficient to fall between 1 and 10 for the final answer.

Divide the following and express your answer in appropriate scientific notation: 1.932×10^−2 / 2.8×10^−37

Learn how to divide 1.932×10^−2 by 2.8×10^−37 and express the answer in scientific notation. This problem explores scientific notation, exponent rules, and proper format adjustments to yield a final answer of 6.9 × 10^34. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation