Question

3.5 x 10^2 / 10.5
scientific notaiton

Answer 1

To calculate \( \frac{3.5 \times 10^2}{10.5} \) and express the result in scientific notation, follow these steps:

1. **Divide the coefficients**:
\[
\frac{3.5}{10.5} = 0.3333 \text{ (approximately)}
\]

2. **Retain the exponent**:
Since we are dividing by \(10^0\) (which is 1), the exponent remains \(10^2\).

3. **Combine the results**:
\[
0.3333 \times 10^2
\]

4. **Convert to proper scientific notation**:
In scientific notation, the coefficient needs to be between 1 and 10. To convert \(0.3333\) to proper scientific notation:
\[
0.3333 = 3.333 \times 10^{-1}
\]

5. **Combine the powers of ten**:
\[
3.333 \times 10^{-1} \times 10^2 = 3.333 \times 10^{2 - 1} = 3.333 \times 10^1
\]

Thus, the final result in scientific notation is:
\[
3.333 \times 10^1
\]