The value of `44.8 - 21.235` is

Options

A. 23.565
B. 23.56
C. 23.57
D. 23.6

Answer

To solve the problem of finding the value of `44.8 - 21.235` while considering significant figures, we can follow these steps:

### Step-by-Step Solution

1. **Identify the Numbers**: We have two numbers to subtract:
- Number 1: `44.8`
- Number 2: `21.235`

2. **Determine Significant Figures**:
- For `44.8`, it has **3 significant figures** (the digits 4, 4, and 8).
- For `21.235`, it has **5 significant figures** (the digits 2, 1, 2, 3, and 5).

3. **Identify the Least Precise Measurement**:
- When performing operations like subtraction, the result should be reported to the least number of decimal places of the numbers involved.
- `44.8` has one decimal place, while `21.235` has three decimal places.

4. **Perform the Subtraction**:
- Calculate `44.8 - 21.235`:
\[ 44.8 - 21.235 = 23.565 \]

5. **Round the Result**:
- Since `44.8` has one decimal place, we need to round `23.565` to one decimal place.
- Rounding `23.565` to one decimal place gives us `23.6`.

6. **Final Answer**:
- The final result, considering significant figures, is `23.6`.