One-half of `1.2xx10^(30)` is

Options

A. `6.0xx10^(30)`
B. `6.0xx10^(29)`
C. `0.6xx5^(30)`
D. `1.2xx10^(15)`

Answer

To find one-half of \(1.2 \times 10^{30}\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to calculate one-half of \(1.2 \times 10^{30}\). One-half can be expressed as \(\frac{1}{2}\).

2. **Set Up the Expression**: We can express the calculation as:
\[ \text{One-half of } 1.2 \times 10^{30} = \frac{1}{2} \times (1.2 \times 10^{30}) \]

3. **Multiply by One-Half**: We can distribute the multiplication:
\[ = \frac{1.2}{2} \times 10^{30} \]

4. **Calculate \(\frac{1.2}{2}\)**:
\[ \frac{1.2}{2} = 0.6 \]

5. **Combine the Results**: Now, we can write:
\[ = 0.6 \times 10^{30} \]

6. **Express in Standard Scientific Notation**: To express \(0.6\) in scientific notation, we can write it as \(6.0 \times 10^{-1}\). Therefore:
\[ 0.6 \times 10^{30} = 6.0 \times 10^{-1} \times 10^{30} \]

7. **Combine the Powers of Ten**: Using the property of exponents:
\[ 10^{-1} \times 10^{30} = 10^{30 - 1} = 10^{29} \]

8. **Final Result**: Thus, we have:
\[ 6.0 \times 10^{29} \]

### Conclusion:
The final answer is:
\[ \boxed{6.0 \times 10^{29}} \]