The expanded form of 28.001 is `"___________"`.

Options

A. `20+8+ ( 1)/( 10)`
B. `20+8+ ( 1)/( 1000)`
C. `20+ 8 + ( 1)/( 100)`
D. `20 + ( 8 )/( 10) + ( 1)/( 100) `

Answer

To find the expanded form of the decimal number 28.001, we can break it down into its individual components based on place value.

### Step-by-Step Solution:

1. **Identify the Whole Number and Decimal Parts**:
- The number 28.001 consists of a whole number part (28) and a decimal part (0.001).

2. **Expand the Whole Number Part**:
- The whole number 28 can be expressed in terms of its place values:
- The digit '2' is in the tens place, which is \(2 \times 10\).
- The digit '8' is in the units place, which is \(8 \times 1\).
- Therefore, the expanded form of the whole number part is:
\[ 2 \times 10 + 8 \times 1 \]

3. **Expand the Decimal Part**:
- The decimal part is 0.001. This can be expressed as:
- \(1\) in the thousandths place, which is \(1 \times \frac{1}{1000}\) or \(1 \times 10^{-3}\).
- Therefore, the expanded form of the decimal part is:
\[ 1 \times \frac{1}{1000} \]

4. **Combine Both Parts**:
- Now, we combine the expanded forms of the whole number part and the decimal part:
\[ 2 \times 10 + 8 \times 1 + 1 \times \frac{1}{1000} \]

5. **Final Expanded Form**:
- Thus, the complete expanded form of 28.001 is:
\[ 2 \times 10 + 8 \times 1 + 1 \times \frac{1}{1000} \]

### Final Answer:
The expanded form of 28.001 is:
\[ 2 \times 10 + 8 \times 1 + 1 \times \frac{1}{1000} \]