The standard from for `234000000` is

Options

A. `2.34xx10^(8)`
B. `0.234xx10^(9)`
C. `2.34xx10^(-8)`
D. `0.234xx10^(-9)`

Answer

To express the number `234000000` in standard form, we follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: The number we need to convert is `234000000`.

2. **Count the Zeros**: Count the number of zeros in `234000000`. There are 6 zeros.

3. **Express in Scientific Notation**: To express this number in standard form, we can write it as:
\[ 234 \times 10^6 \]

4. **Convert to Decimal Form**: To convert `234` into a number between 1 and 10, we can express it as:
\[ 2.34 \times 100 \]
This is because \(234 = 2.34 \times 10^2\).

5. **Combine the Powers of Ten**: Now, we can combine the powers of ten:
\[ 2.34 \times 10^2 \times 10^6 \]
Using the property of exponents \(a^m \times a^n = a^{m+n}\), we can simplify this to:
\[ 2.34 \times 10^{2+6} = 2.34 \times 10^8 \]

6. **Final Answer**: Therefore, the standard form of `234000000` is:
\[ 2.34 \times 10^8 \]